| |
1
|
MILTON ABRAOWXTZ (1954) : On the practical evaluation of integrals, J. Soc. Indust. Math. : 20-35.
|
| |
2
|
A. C. AITKEN (1931): Further numerical studies in algebraic equations and matrices, Proc. Roy. Soc. Edinburgh, 51: 8090.
|
| |
3
|
(1950) : Studies in practical mathematics. V. On the iterative solution of a system of linear equations, Proc. Roy. Soc. Edinburgh, A63: 52--60.
|
| |
4
|
(1950) : Studies in practical mathematics. VI. On the factorization of polynomials by iterative methods, Proc. Roy. Hoc. Edinburgh, A68: 174-91.
|
| |
5
|
(1952): Studies in practical mathematics. VII. On the theory of methods of factorizing polynomials by iterated division, Proc. Roy. Soc. Edinburgh, A63: 326-35.
|
| |
6
|
D. N. DE G. ALLEN (1954) : "Relaxation methods", McGraw-Hill Book Co., Inc., New York, ix-b 257 pp.
|
| |
7
|
ENZO APARO (1954): Un procedimento iterativo per la risoluzione numerica delle equazioni algebriche, Ricerca Sci. : 1003-5.
|
| |
8
|
Assoc. Comp. Mach., Proceedings of the Pittsburgh Meeting. 1952.
|
| |
9
|
Assoc. Comp. Mach., Proceedings of the Toronto Meeting. 1952.
|
 |
10
|
|
| |
11
|
N. AZBELOV AND R. VINOGRAD (1952) : A process of successive approximations for finding characteristic values and characteristic vectors (Russian), Doklady Akad. Nauk SEER, 88: 173--4.
|
| |
12
|
K. H. BACHANN (1954) : Der Konvergenzgrad bei iterativer LSsung von Gleichungen durch inverse Interpolation, Z. Angew. Math. Mech. 55: 282-3.
|
| |
13
|
BL BARNA (1951): ber das Newtonsche Verfahren zur Annaherung yon Wurzeln algebraischer Gleichungen, Publ. Math. Debrecen. 2: 50-63.
|
| |
14
|
- (1954) : Uber die Divergenzpunkte des Newtonschen Verfahrens zur Bestimmung von Wurzeln algebraischer Gleichungen. I., Publ. Malh. Debrecen. 3: 109-18.
|
| |
15
|
W. BARRST (1952) : On the remainders of numerical formulae, with special reference to differentiation formulae, J. London Math. Soe. 7: 456-64.
|
| |
16
|
- (1952): On the remainder term in numerical integration formulae, J. London Math. Soc. 27: 465--70.
|
| |
17
|
E. H. BASEMAN (1953) : The solution of algebraic and transcendental equations by iteration, Math. Gaz. 2: 96--101.
|
| |
18
|
F. L. BAUER (1954) : Quadratische Konvergenz der Bernoullischen Methode, Z. Angew. Math. Mech. 85: 287.
|
| |
19
|
RICHARD BELLMAN (1953) : "Stability theory of differential equations", McGraw-Hill Book Co., Inc., New York, xiii + 166 pp.
|
| |
20
|
(1955): Notes on matrix theory-IV (An inequality due to Bergstrom), Amer. Math. Monthly 62: 172--3.
|
| |
20a
|
A. YA. BELOSTOCXIi (1953) : On a method of solution of algebraic equations (Russian), Uspehi Matem. Nauk (N. S.) 8, 6(58) 87-96.
|
| |
21
|
W. J. BEROER AND EDWARD SAIBEL (1953) : On the inversion of continuant matrices, J. Franklin Inst. 256: 249-53.
|
| |
22
|
F. BERTIAU (1948) : Algemene methode voor het benaderd oplossen van vergelijkingen en stelsels met twee of meer onbekenden, imon Stevin 26: 90-103.
|
| |
23
|
(1951): Nieuwe numericke integratiemethoden, Simon Stevin 29: 196--202.
|
| |
24
|
E. I. BERTOVA, YA. I. KUZNECOV, I. P. NATANSON, AND H. A. CAaEGRADSKIi (1953) : On approximate computation of definite integrals by means of a multiplicative method of excluding singularities (Russian), Akad. Nauk. Prikl. Mat. Meh. 17: 639--44.
|
| |
25
|
M. BESSON AND E. BRUSEY (1950) : R6solution des quations alg6briques par le regle calcul, Elementv Math. Basel 5: 125--31.
|
| |
26
|
W. G. BICELEY (1939) : Formulae for numerical integration, Math. Gaz. 28: 352-9.
|
| |
27
|
(1941): Formulae for numerical differentiation, Math. Gaz. 5: 19-26.
|
| |
28
|
(1948): Finite difference formulae for the square lattice, Quart. J. Mech. Appl. Math. I: 35-42.
|
| |
29
|
HERBERT BILH2RZ (1951) : ber die Gaussehe Methode zur angenherten Berechnung bestimmter Integrale, Math. Naeh. 6: 171-92.
|
| |
30
|
CARLO BIRINDELLI (1951) : Sul calcolo numeriei degli integrali multipli, Rend. Lincei (8) 9: 40-44.
|
| |
31
|
(1952): Su nuove formule interpolatorie del Picone per funzioni in piu variabiti e loro contributo al ealeolo numerico degli integrali multipli, Composiio Math. 10: 1-51.
|
| |
32
|
GERTRUDE BLANCH (1954) : On modified divided differences, MTAC 8: 1-11, 67-75.
|
| |
33
|
E. BODEWIG (1950): Bericht fiber die Methoden zur numerlsehen LSsung yon algebraischen Eigenwertproblemen I., Atti Sere. Mat. Fis. Univ. Modena : 133--93.
|
| |
34
|
(1051): Bericht fiber die Methoden zur numerischen LSsung yon algebraisehen Eigenwertproblemen II., Att 8era. Mat. Fis. Univ. Modena 5: 3--39.
|
| |
35
|
|
| |
36
|
ALBERT N. BOWKER (1947) : On the norm of a matrix, Ann. Math. Stat. 18: 285-8.
|
| |
37
|
ALFRED BREUER (1952a): Matrices with all their characteristic roots in the interior of the unit circle, J. Elisha Mitchell Sci. Soc. 68: 180-3.
|
| |
38
|
(1952bl : Limits for the characteristic roots of a matrix, V. Duke Math. J. 19: 553-62.
|
| |
39
|
(1953): Uber die Lage der characteristischen Wurzeln einer Matrix, J Reine Math. I92: 113-16.
|
| |
40
|
Po BROCK AND F. J. MURRA.Y (1952) : The use of exponential sums in step by step integration, MTAC 6: 62-78, 138-50.
|
| |
41
|
R. A. BROOKER (1952): The solution of algebraic equations on the EDSAC, Proc. Cambridge Philos. Soc. $8: 255-70.
|
| |
42
|
N. G. DE BRUXJN AND D. VAN DANTZIG (1952): Inequalities concerning determinants and systems of linear equations, Nederl. Akad. Wetensch., Proc. 50A: 315-21.
|
| |
43
|
VIGGO BRUN (1953): A generalization of the formula of Simpson for non-equidistant ordinates, Nordisk Mat. Tidskr. 1: 10-15.
|
| |
44
|
HANS BtcKNER (1949/50) : ber ein unbeschrtnkt anwendbares Iterations-verfahren ftir Systeme linearer Gleichungen Arch. Math. 9: 5-9.
|
| |
45
|
FELIX BURHARDT (1953): Uber spezielle lineare Gleichungssystemc mit der Eigenschaft lim. (E -A) v Nullmatrix (Ein Beitrag zur Gleichungslehre der praktischen Analysis), Wiss. Z. Univ. Leipzig, math.-naturw. Reihe (1952/3) 187-92.
|
| |
46
|
LumI CAPRIOLI (1953) : Sulla risoluzione dei sistemi di equazioni lineari con il metod di Cimmino, Boll. Un. Mat. Ital. 8: 260-65.
|
| |
47
|
GINo CASSINIS (1946): Risoluzione dei sistemi de equazioni algebrichi lineari, Rend. Sere. Mat. Fis. MiIano 17: 62-78.
|
| |
48
|
UGo CASSINA (1942): Sulla risoluzione numerica delle equazioni e dei sistemi di equazioni algebriche o trascendenti, Rend. Sere. Mat. Fis. Milano 16: 156-81.
|
| |
49
|
(1943) : Su un nuove metodo per la risoluzione numerici delle equazioni algebriche c trascendenti, Inst. Lombardo Sci. Left. Cl. Sci. Mat. Nat. Rend. (3) 7(7b) : 35-61.
|
| |
50
|
LXBERTO CESARI (1936) : Sul Calcolo approssimato delle radici delle equazioni algcbriche, Ricerca Sei. II7II : 53-78.
|
| |
51
|
- (1937) : Sulla risoluzione dei sistemi di equazioni lineari per approssimazioni suc- Cessive, Ricerea Sei. II8I: 512-22.
|
| |
52
|
(1938) : Una relazione quantitativa fra gli zeri delle trascendenti intere semplici e queUi della loro derivata, Ricerca Sci. I I 9 I: 365-8.
|
| |
53
|
F. CESCHINO (1953a): Sur la resolution des equations par la methode de Lin, Ann. Soc. Sci. Bruxelles. 67: 77-82.
|
| |
54
|
(1953b): Sur une adaptation de la methode de Graeffe au caleul automatique, Compt. rend. 236: 1945-7.
|
| |
55
|
GIANFRANCO CMNO (1938): Calcolo approssimato per le soluzioni dei sistemi di equationi lineari, Ricerca Sci. II 9: 326-33.
|
| |
56
|
PRESTON R. CLEMENT (1953): The Chebyshev approximation method, Quart. Appl. Math. 11: 167-83.
|
| |
57
|
C. W. CLENSHXW (1954) : Polynomial approximations to elementary functions, MTAC 8: 143-7.
|
| |
58
|
L. COLLATZ (1942): Fehlerabschtzung ftir das Iterationsverfahren zur Aufl5sung linearer Gleiehungssysteme, Z. Angew. Math. Physik 22: 357-61.
|
| |
59
|
(1942): Einschliessungssatz fiir die characteristischen Zahlen von Matrizen, Math. Z. 8: 221-6.
|
| |
60
|
(I950): Zur Herleitung yon Konvergenzkriterien ftir Iterationsverfahren bei linearen Gleichungssystemen, Z. Angew. Math. Mech. SO: 278-80.
|
| |
61
|
(1952) : Einschliessungsstze bei Iteration und Relaxation, Z. Angew. Math. Mech. 82: 76-84.
|
| |
62
|
(1953): Einige Anwendungen funktionanalytischer Methoden in der praktischen Analysis, Z. Angew Math. Physik $: 327-57.
|
| |
63
|
W. A. COPPEL (1955) : The solution of equations by iteration, Proc. Cambridge Philos. Soc. 51: 41-3.
|
| |
64
|
Louis COUFFIGNAL (1944) : La r6solution numdrique des systmes d'6quations linaires. Premier M6moire: L'operation fundamentale de rduction d'un tableau, Rev. Sci. 8: 67-78.
|
| |
65
|
(1949) : Calcul d'un quotient ou d'une racine carrie dans le systhme de numeration binaire, Compt. rend. 229: 488-9.
|
| |
66
|
(1951) : Sur la resolution num6rique des systmes d'dquations lin6aires. Deuxibme partie: Pr6cision de la solution, Rev. Sci. 89: 3-10.
|
| |
67
|
RICHARD COURANT AND DAVID HILBERT (1953): "Methods of mathematical physics," v. I. (tr.), lnterscience, New York, xv + 561 pp.
|
| |
68
|
E. J. CRAIG (1954): Iteration procedures for simultaneous equations, Doctoral Diss., MIT, Cambridge, Mass.
|
| |
69
|
HUBERT CalMER (ed.) (1953): Probleme der Entwicklung Programmgesteuerter Rechengerte und Integrieranlagen, Mathematisches Institut, Lehrstuhlc, Aachen.
|
| |
70
|
J. H. CURTISS (1954) : A generalization of the method of conjugate gradients for solving systems of linear algebraic equations, MTAC 8: 189-93.
|
| |
71
|
D. F. DAVIDENKO (1953) : On a certain new method for the numerical solution of systems of nonlinear equations (Russian), Doklady Akad. Nauk SSSR, 88: 601-2.
|
| |
72
|
(1953) : On the approximate solution of systems of nonlinear equations (Russian), Ukrain. Mat. 2urnal. 5: 196-206.
|
| |
73
|
PHILIP DAvzs (1953): Errors of numerical approximation for analytic functions, J. Rat. Mech. An. : 303-13.
|
| |
74
|
|
| |
75
|
AND (1954): On the estimation of quadrature errors for analytic functions, MTAC 8: 193--203.
|
| |
76
|
L. DERWIDU (1954) : La mthode de L. Couffignal pour la rsolution numrique des systemes d'6quations lin6aires, Mathesis 6S: 9-12.
|
| |
77
|
S. P. DILIBERTO AND E. G. STTRAUS (1951) : On the approximation of a function of several variables by the sum of functions of fewer variables, Pacific J. Math. 1: 195-210.
|
| |
78
|
PAUL S. DWYER AND FREDERICK V. WAUGH (1953) : On errors in matrix inversion, J. Amer. Statist. Assoc. 18: 289-319.
|
| |
79
|
E. EGERV_RY (1953): On a property of the projector} matrices and its application to the canonical representation of matrix functions, Acta. Sci. Math. Szeged 15: 1-6.
|
| |
80
|
(1954) : On a lemma of Stieltjes on matrices, Acta Sci. Math. Szeged 155: 99-103.
|
| |
81
|
H. ELTERiANN (1952): Die LSsung algebraischer und transzendenter Gleichungen mit Hilfe yon rekursiven Folgen, Z. Angew. Math. Mech. 8: 231-2.
|
| |
82
|
MARVI EPSTmN AND HARLEY FLANDERS (1955): On the reduction of a matrix to diagonal form, Amer. Math. Monthly 6 168-70.
|
| |
83
|
SmuRn FALK (1954): Neue Verfahren zur direkten LSsung des allgemeinen Matrixeneigenwertproblemes, g. Angew. Math. Mech. S$: .289-91.
|
| |
84
|
KY FAN (1949); On a theorem of Weyl concerning eigenvalues of linear transformations, I., Proc. Nat. Acad. Sci. SS: 653-5.
|
| |
85
|
(1950) : On a theorem of Weyl concerning eigenvalues of linear transformations, II., Proc. Nat. Acad. Sci. S6: 31-35.
|
| |
86
|
GEORGE E. FORSYTHE (1952) : Alternative derivations of Fox's escalator formulae for latent roots, Quart. J. Mech Appl. Math. 55: 191-5
|
| |
87
|
(1953a) : Solving linear algelraic equations Can be interesting, Bull. Amer. Math. Soc. 559: 299-329.
|
| |
88
|
(1953b) : A numerical analyst's fifteen-foot shelf, MTAC 7: 221-8.
|
| |
89
|
A. I. FORSYTHE AND (1955): Punched-card experiments with accelerated gradient,: methods for linear equations, Nat. Bur. Standards Appl. Math. Series 39, U. S. G0vt Print. Off, pp 5 9.
|
| |
90
|
GEORGE E . FORYSTHE &ND LOUISE W. STRAUS (1954) : The Souriau-Frame c istic equation algorithm on a digital computer, J. Math. Phys. 34: 152--6.
|
| |
91
|
R. FORTET (1952): Les m6thodes de Monte-Carlo en physique nuclaire, Estadistica 3: 341-71.
|
| |
92
|
L. Fox (1952): Escalator methods for latent roots, Quart. J. Mech. Appl. 178-90.
|
| |
93
|
-- (1953) : The use of large intervals in finite difference equations, MTAC 7
|
| |
94
|
H. FEBUDENTAL (149): Mathematische problemen van terugkoppeling, N Natuurkunde 15: 275--81.
|
| |
95
|
F. R. GANTMAHER AND M. G. KREiN (1950): "Oscillation matrices and kei small vibrations of mechanical systems", Moscow-Leningrad, 354 pp.
|
| |
96
|
A. DE A GARZA (1953) : Error bounds on approximate solutions to systems algebraic equations, MTAC 7: 81-4.
|
| |
97
|
WERNER GAUTSCm (1953): The asymptotic behavior of powers of matric Math. J. 20: 122-40; 375--79.
|
| |
98
|
(1954) : Bounds of matrices with regard to an Herraitian metric, Compositio Math. i: 1.16.
|
| |
99
|
YU. M. GAVRILOV (1955) : On the convergence of iterative processes and criteria of sign definiteness of quadratic forms (Russian) Izvestiya Akad. Nauk SSSR. Set Mat 18: 87-94.
|
| |
100
|
B. L. GINSBURG (1954) : Formulas for numerical quadrature most convenient for a plication (Russian), Uspehi Matem. Nauk. 9(60) 137-42.
|
| |
101
|
WALLACE GIVENS (1954): Numerical computation of the characteristic values oi real symmetric matrix, Oak Ridge National Laboratory, ORNL-1574.
|
| |
102
|
J. VICENTI GONQALVES (1954) : Sur la methode de Newton, Univ. Lisboa. Revista FacCi. A. Ci. Mat. (2) 3: 191-6.
|
| |
103
|
R. L. GOODSTEIN AND T. A. A. BROADBENT (1948) : The convergence of iterative processes, d. London Math. Soc. : 168-71.
|
| |
104
|
E. T. GoonwIN (1949) : The evaluation of integrals of the form l?" f(x)e - dx, Proc. Cambridge Philos. Soe. 5: 241-5.
|
| |
105
|
SAuL GORN (1952) : On the study of computational errors, Ballistic Research Labora' tories: Report No. 816.
|
| |
106
|
(1954a) : The automatic analysis and control of computing errors, J. Soc. Indust, Appl. Math 2: 69-81.
|
| |
107
|
(1954b): Maximal convergence intervals and a Gibbs type phenomenon for Newton's approximation procedure, Ann. Math. (2) 59: 463-76.
|
| |
108
|
D. h. GORODSKIi (1951) : Simple method of numerical solution of algebraic equationsi lleklriestro S: 65-6.
|
| |
109
|
ROBT. E. GREENWOOD AND J. J. MILLER (1948) : Zeros of the Hermite polynomials and weights for Gauss' mechanical quadrature formula, Bull. Amer, Math. Soc. a ; 765--9.
|
| |
110
|
AND A. M. GLEASON (1953) : Distribution of round-off errors for running averages Pacific J. Math. 3: 505-11.
|
| |
111
|
ROBERT T. GREGORY (1953) : Computing eigenvalues and eigenvectors of a symmetric matrix on the ILLIAC, MTAC 7: 215--20.
|
| |
112
|
OLIVER GROSS (1954): Polynomial-like approximation, MTAC 8: 58-60.
|
| |
113
|
P. G. GUEST (1951) : The estimation of standard error from successive finite differences J. Roy. Statist. Soc. 13: 233--7.
|
| |
114
|
(1952): Curve-fitting by the method of grouping, Australian J. Sci. Research Set; A : 238-57.
|
| |
115
|
(1953a) : On the standard errors in the fitting of polynomials to unequally spaced observations, Australian J. Physics 6: 131-54.
|
| |
116
|
(1953b): Note on the fitting of polynomials to equally-spaced observations, J. Math. Physics 32: 68-71.
|
| |
117
|
(1953c) : The Doolittle method and the fitting of polynomials to weighted data, Biometrika 40: 229-31.
|
| |
118
|
-- (1954): Grouping methods in the fitting of polynomials to equally spaced observations, Biometrika 41: 62-76.
|
| |
119
|
J. M. ttAMrFSLY ANn K. W. /ORTON (1954a): Poor man's Monte Carlo, J. Roy. Statist. Soc. Ser. B. 16:23-38 (discussion 61-75).
|
| |
120
|
- - AND-- (1954b): Transposed branching processes, J. Roy. Statist. Soc. Ser. B. 15: 76-9.
|
| |
121
|
HARRY H. HARMAN (1954): The square-root method and multiple-group methods of factor analysis, Pychometrika 19: 39-55.
|
| |
122
|
D. R. HARTaEE (1952) : "Numerical analysis", Clarendon Press, Oxford, xiv -4- 287 pp.
|
| |
123
|
J. G. HAYES AND T. VICKERS (1951): The fitting of polynomials to unequally-spaced data, Phil. Mat. (7) 42: 1387-1400.
|
| |
124
|
A. HERMANN (1952) : Bestimmung der hSheren Eigenwerte einer Matrix durch Iteration, Ann. Univ. Saraviensis 1: 220-3.
|
| |
125
|
M. HERZBEaGER (1953) : Approximate methods in mathematics, Nat. Acad. Sci. Prec. S9: 853-60.
|
| |
126
|
MAGNUS R. HESTENES AND EDUARD STIEFEL (1950): Methods of conjugate gradients for solving linear systems, J. Research Nat. Bur. Standards 9:. 409-36.
|
| |
127
|
A. J. HOFFMAN AND H. W. WELANDT (1953) : The variation of the spectrum of a normal matrix, Duke Math. J. 0: 37-40.
|
| |
128
|
A. HORN (1950) : On the singular values of a product of completely continuous operators, Prec. Nat. Acad. Sci. 86: 374-5.
|
| |
129
|
(1954): On the eigenvalues of a matrix with prescribed singular values, Prec. Amer. Math. Soc. g: 4-7.{
|
| |
130
|
ALSTON S. HOUSEHOLDER (1954a) : Generation of errors in digital computation, Bull. Amer. Soc. 60: 234-47.
|
| |
131
|
(1954b) : On the solution of linear algebraic systems, Oak Ridge National Laboratory, ORNL-1785.
|
| |
132
|
(1954e): On norms of vectors and matrices, Oak Ridge National Laboratory, O1NL-1756, Physics.
|
| |
133
|
.... (1955) : Convergence of iterative methods for solving linear systems, Oak Ridge National Laboratory, ORNL-1883.
|
| |
134
|
VJCLAR HRUSKA (1943): LSsung von Gleichungssystemen dureh das Iterationsverfahren, eskd Akad. Vd a Umn 4: 239-304.
|
| |
135
|
International Congress of Mathematicians Proceedings (1954): Volume II, Short Lectures. North Holland Publ. Co., Amsterdam, 440 pp.
|
| |
136
|
GASmEL ISAXSON (1949): A method for accelerating the convergence of an iteration procedure, J. Aeronaut. Sci. 16: 443.
|
| |
137
|
WILHELM JAROSCH (1950) : Matrizenbnder, Akad. Wiss. Wien. Sitz, IIA lg9: 287-96.
|
| |
138
|
M. KAc, W. L. MURnOCK AND G. SzEG5 (1953) : On the eigen-values of certain Hermitian forms, J. Rat. Mech. and An. ~: 767-800.
|
| |
139
|
W. KAaUSH (1951) : An iterative method for finding characteristic vectors of a symmetric matrix, Pacific J. Math. 1: 233-48.
|
| |
140
|
BRADFORD F. KIMBALL (1953): Note on computation of orthogonal predictors, Ann. Math. Stag. 4: 299-303.
|
| |
141
|
- - (1953): A multiple group least squares' problem and the significance of the associated orthogonal polynomials, J'. Am. Star. Assoc. $8: 320-35.
|
| |
142
|
I. Kiss (1954):Uber eine Verallgemeinerung des Newtonschen Niherungsverfahrens, Z. Angew. Math. Mech. 84: 68-9.
|
| |
143
|
E. G. KOGB rrLINTz (1954) : Onthe solution of linear equations by diagonalizing th coefficient matrix. BM Report No. 4 (final).
|
| |
144
|
KARL KOERELI (1951): Berechnung der trigonometrischen und zyklometrischen Funktionen durch Kettenwurzeln, Math. Phys. Semesterber. : 126-34.
|
| |
145
|
A. M. KOT:LYANsKIi (1955): On some sufficient conditions for the reality and sire. plicity of the spectrum of a matrix, Mat. Sbornik 36(78) 163-8.
|
| |
146
|
.- (1955) : On the effect of the transformation of Gauss on the spectrum of a matrix, Uspehi Matem. Nauk. 10, I(63) 117-21.
|
| |
147
|
M. A. KRASN0SL'SKIi XND S. G. KRiN (1952): Iterative processes with minimal residuals, Mat. Sb. 81: 315-34.
|
| |
148
|
-- AND - (1953) : Remarks on the distribution of errors in the solution of syster of linear equations by means of iterative processes (Russian), Uspehi Mathem. Nauk 7, S(50) 157-61.
|
| |
149
|
E. KREYSIG (1954) : Die Einschliessung von Eigenwerten hermitescher Matrizen beim Iterationsverfahren, Z. Angew. Math. Mech. 85: 459---69.
|
| |
150
|
GiBRIEL KRON (1953): A set of principles to interconnect the solutions of physical systems, J. Appl. Phys. $: 965-80.
|
| |
151
|
V. I. KRVLOV (1954): On computation of an indefinite integral with a small number of values of the integrated function (Russian) Doklady Akad. Nauk SSSR 94: 613--4.
|
| |
152
|
JEAN KUNTZMANN (1948a) : Meilleure formule de quadrature approchde deux valeurs pour les fonctions ayant une ddrivde seconde borndc, Compt. rend.7: 584-6.
|
| |
153
|
.- (1948b) : Formules de quadrature approchde pour lea foncions continues d6rivde premiere continue et ddrivoe seconde born6e, Compt. rend. ZS: 38--9.
|
| |
154
|
(1948c) : Remarques sur le caleul approch6 des racines d'une quation, An. Univ. Grenoble 8:143--4
|
| |
155
|
(1950) : Notions de grille et de tube, Ann. Inst. Fourier : 197-205.
|
| |
156
|
. (1954) : }Etude dereprdsentations approchdes de ddrivdes, Compt. rend. 39: 1119-11.
|
| |
157
|
CORNELIUS LANCZOS (1952) : Solution of systems of linear equations by minimized iterations, J. Research Nat. Bur. Standards $9: 33-53.
|
| |
158
|
M.M. LXVRENT'EV (1953) : On improvement of the accuracy of the solution of a system of linear equations (Russian), Doklady Akad. Nauk SSSR (N.S.) 9: 885--6.
|
| |
159
|
(1954a) : On an estimate of the accuracy of a solution of a system of linear equations (Russian), Doklady Akad. Nauk 8SSR (N. S.) 95: 447-8.
|
| |
160
|
. (1954b) : On the accuracy of solutions of systems of linear equations (Russian), Mat. Sbornik N. S. 85(76) 259--68.
|
| |
161
|
A. P. LxvuT (1952) : Distribution of proper values of the transformation of Seidel for systems of normal equations (Russian), Uspehi Malem. Nauk 7, 6(52) 197-202.
|
| |
162
|
M.J. LEEMANS (1952) : Sur le dveloppement d'une fonction par une s6rie de polynomes dennis, Mathesis 61: 262-9.
|
| |
163
|
N .J . LEHANN (1949/50) : Berechnung vonEigenwertschranken bei linearenProblemen, Arch. Math. : 139--47.
|
| |
164
|
D. H. LSHMER (1953) : The sieve problem for all-purpose computers, MTAC 7: 6-14.
|
| |
165
|
G. LMAiTRE (1942): L'iteration rationelle, Acad. Roy. Belg. Bull. Cl. Sci. (5) 8: 347-54.
|
| |
166
|
BEPPO LEVI (1941) : La aproximaci6n come instrumento de clculo y de demostraei6n, Math. Notae 1: 37-63.
|
| |
167
|
(1943) : Sobre la resolueion approximada de equaeiones trascendentes representad per desarrollos de Taylor, Math. Notae 8: 1-40.
|
| |
168
|
JOHN B. LOHMN (1949) : An iterative method for finding the smallest eigenvaluc of a matrix, Quart. Appl. Math. 7: 234.
|
| |
169
|
A. M. LoPIC (1949): A numerical method for determining the characteristic values and characteristic planes of a linear operator (Russian), Trudy Sere. Vck. Tenz Analizu 7: 233-59.
|
| |
170
|
(1952): An extremal theorem for a hyperellipsoid and its application t o the solution of a system of linear algebraic equations, Trudy Sere. Vek. Tenz. Analizu 9: 183-97.
|
| |
171
|
A. N. LOWAN (1939) : On the computation of the second differences of the St(x), Ei(x), and Ci(x) function, Bull. Amer. Math. oc. 45: 583-8.
|
| |
172
|
-- AND JACK LADERMAN (1939) : On the distribution of errors in tabular differences, Ann. Math. Statistics 10: 360-4.
|
| |
173
|
SAMUEL IJUBKIN (1952): A method of summing infinite series, J. Research Nat. Bur. Standards 48: 228-54.
|
| |
174
|
RUDObF LUDWIG (1952): Verbesserung ether Iterationsfolge bet Gleichungssystemen, Z. Angew. Math. Mech. 82: 232-4.
|
| |
175
|
---- (1954a): Uber Iterationsverfahren ffir Gleichungen und Gleichungssysteme, Z. Angew. Math. Mech. 34.', 210-25.
|
| |
176
|
---- (1954b) : ber Iterationsverfahren fiir Gleiehungen und Gleiehungssysteme (Teil I I ), Z. Angew. Math. Mech. 8: 404-16.
|
| |
177
|
YUDELL L. LUKE (1954) : On the computation of oscillatory integrals, Proc. Cambridge Phil. Soc. 50: 269-77.
|
| |
178
|
Les machines of calculer et la pense humaine (19531 : Centre Nationale de la Recherche Scientifique, Paris, xix + 570 pp,
|
| |
179
|
NATttANIEL MACON (1954): Computation of exponential and hyperbolic functions by continued fractions, Office of Ordnance Project No. 1278, Interim Technical Report No. 1.
|
| |
180
|
HANS J. MAEHLY (1954) : Zur iterativen AuflSsung algebraischer Gleiehungen, Z. Angew Math. Mech 5: 260-3.
|
| |
181
|
L. S. MAYANC (1945): A method for making more precise the roots of secular equations of higher degrees and for numerical analysis of their dependence upon parameters of the corresponding matrices (Russian), Doklady Akad. Nauk (N. S.) 50: 121--4.
|
| |
182
|
P. V. MELENT'EV (1948) : On the solution of equations of high degree, Pri. Mat. Meh. 12: 215-18.
|
| |
183
|
S. E. MIKELADZE (1948a): Mumerical integration (Russian), Uspehi Matem. Nauk. 8, 6: 4.,--88.
|
| |
184
|
(1948b) : On the decomposition of determinants whose elements are polynomials (Russian), Pri. Mat. Meh. 1: 219-22.
|
| |
185
|
(1952) : Approximate formulas for definite integrals (Russian), Soobeniya Akad. Nauk. Gruzin. SSR. 13: 193-9.
|
| |
186
|
(1953a): On the theory of construction of interpolation formulas (Russian), Doklady Akad. Naulc SSSR 90: 503-6.
|
| |
187
|
-- (1953b) : "Numerical methods of mathematical analysis", Gostehizdat, Moscow- Leningrad, 528 pp.
|
| |
188
|
RICHARD VON MISES (1954): Numerische Berechnung mehrdimensionaler Integrale, Z. Angew. Math. Mech. 84: 201-10.
|
| |
189
|
A. R. MITCHELL (1953) : Round-off errors in the solution of the heat conduction equation by relaxation methods, Appl. Sci. Research A4: 109-19.
|
| |
190
|
-- AND J. W. CRAGGS (1953) : Stability of difference relations in the solution of ordinary differential equations, MTAC 7: 127-9.
|
| |
191
|
-- AND D. E. RUTHERFORD (1953) : On the theory of relaxation, Glasgow Math. Assoc. Proc. I: 101-10.
|
| |
192
|
P. MONTEL (1932): Sur une formule de Darboux et les polynomes d'interpolation, Annali Pisa II, 1: 371-84.
|
| |
193
|
(1937): Sur quelques propri6tds des differences divis6es, J. Math. Pures Appl. (9) 16: 219-31.
|
| |
194
|
J. MORRIS AND J. W. HEAD (1953) : Note on Lin's iteration process for the extraction of complex roots of algebraic equations, Quart. J. Mech. Appl. Math. 6: 391-7.
|
| |
195
|
PHILip M. MORSE AND HERMAN FESHBACH (1953) : "Methods of theoretical physics", McGraw-Hill Book Co., Inc., New York, xxii + 1978 pp.
|
| |
196
|
National Physical Laboratory (1954) "AutomatlcLaboratorydigital computation."on March I:26 Proceedings I :27 and of a symposium held at the National Physical 11953. Her Majesty's Stationery Office, London, vi - 296 pp.
|
| |
197
|
Naturforschung and Medezin in Deutschland, 1939-1946. Band 3. Angewandte Mathematik. Verlag Chemic, Weinheim. 1953.
|
| |
198
|
J. YON NEUANN (1937): Some matrix inequalities and metrization of matrix-space, Bull. Inst. Math. Mech. Univ. Tomsk 1: 286-99.
|
| |
199
|
RUFUS OLDENBURGER (1940): Infinite powers of matrices and characteristic roots Duke Math. J. 6: 357-61.
|
| |
200
|
F. W. J. OLVER (1951): A new method for the evaluation of zeros of Bessel functions and of other solutions of second-order differential equations, Proe. Cambridge Philos. Soc. 46: 570-80.
|
| |
201
|
-- (1952): The evaluation of zeros of high-degree polynomials, Philos. Trans. RoD Soc. London. Ser. A. 244: 385-415.
|
| |
202
|
ALEXANDRE OSrEOWSXI (1951a): Sur les conditions generales pour la regularit6 de matrices, Rend. Mat. (5) I0: 1-13.
|
| |
203
|
-- (1951b) : Ueber das Nichtverschwlnden ether Klasse yon Determinanten and di Lokalisierung der charakteristischen Wurzeln yon Matrizen, Comp. Math. 9: 209-26.
|
| |
204
|
(1951c) : Sur les matrices pea diff6rentes d'une matrice triangulaire, Compt. rend. 2ss: 1559-6o.
|
| |
205
|
-- (1952a): Note on bounds for determinants with dominant principal diagonal Proc Amer. Math. Soc. 8: 26-30.
|
| |
206
|
n _ (1952b): Bounds for the greatest latent roots of a positive matrix, J. London Math. Soc. 27: 253--6.
|
| |
207
|
(1952c) : Sur quelques applications des fonctions convexes et concaves au seas de I. Schur, J. Math. Pares Appl. (9) 31: 253-92.
|
| |
208
|
-- (1952d): Bounds for the greatest latent root of a positive matrix, J. London: l Math. Soe. 27: 253--6.
|
| |
209
|
--On over and under relaxation in the theory of the cyclic single step iter- I 2O9. ation,(1953) MTAC: 7: 152-9.
|
| |
210
|
. (1954) : On the spectrum of a one parametric family of matrices, J Math. 198: 143-60.
|
| |
211
|
L. J. PAIG AND OLGA TXtrSS:Y, aDS. (1953): Simultaneous linear eqt determination of eigenvalues, National Bureau of Standards. Appl. U. S. Govt. Printing Office, 126 pp.
|
| |
212
|
A. PALLET (1901): Sur la m6thode d'approximation de Newton, B France 29: 228-30.
|
| |
213
|
ERWIN PFLANZ (1949/50) : ber ein Verfahren zur geniherten AuflSsunt gen f(x) = O, Arch. Math. 2: 5-9.
|
| |
214
|
MXURO PICONE (1951) : Vedute generala sull'interpolazione e qualche lo An Sc. N. Sup. Pisa (3) 5: 193-244.
|
| |
215
|
(1952): Allgemeine Gesiehtspunkte zur Interpolation and einig geregte Untersuchungen, Mort. f . Math. 57: 44--65.
|
| |
216
|
-- (1953a) : Points de vue g6n4raux sur l'interpolation et quelques r suggrent, Rend. Circ. Mat. Palermo. (2) 1: 1-20.
|
| |
217
|
(1953b) : On the mathematical work of the Italian Institute for of Calculus during the first quarter century of its existence, Ist. Nan Pub. N. S62.
|
| |
218
|
W. L. VXNDErt POEL (1949): Benadering van experimenteel gegevel middel van veeltermen met methode van Tchebycheff, Simon Stevi
|
| |
219
|
EVSRE'rT W. PURCELL (1953) : The vector method of solving simultane tions, J. Math. Physics SS: 180-3.
|
| |
220
|
Reissner Anniversary Volume (1949): "Contributions to Applied Me Edwards, Ann Arbor, viii + 493 pp.
|
| |
221
|
A. RNI AND P. TURIN (1953): On the zeros of polynomials, Acta. Math. Hung. 3: 275-84.
|
| |
222
|
L. F. RICItARDSON (1910): The approximate solution by finite differences of physical problems involving differential equations with an application to the stresses in a masonry dam, Philos. Trans. Roy. Soc. London, 210A: 307-57.
|
| |
223
|
(1950): A purification method for computing the latent columns of numerical matrices and some integrals of differential equations, Philos. Trans. Roy. Soc. London A242: 439-91.
|
| |
224
|
HANS RICHTER (1954): Bemerkung zur Norm der Inversen einer Matrix, Arch. Mat. 5: 447-8.
|
| |
225
|
FIxRIX SOFIX Rosa (1950): Sulla risoluzione numerica dei sistemi di equazioni algebriche lineari col metodo della ortogonalizzazione, Ricerca Sci. 20: 1288-90.
|
| |
226
|
L. ROSENHEAD (1954): Society and the calculating machine, Advancement Sci. 40: 421-33.
|
| |
227
|
J. B. ROSSER (1950) : Note on zeros of the Hermite polynomials and weights for Gauss' mechanical quadrature formula, Proc. Amer. Math. Soe. 3: 388-9.
|
| |
228
|
-- (1952) : A method of computing exact inverse of matrices with integer coefficients, J. Research Nat. Bur. Standards 49: 349-58.
|
| |
229
|
C. RUNGE (1922) : "Praxis der Gleichungen", Walter de Gruyter and Co., Berlin and Leipzig, 172 pp.
|
| |
230
|
HEINZ RUTISItA.USER (1950): Eine Konvergenzverbesserung ffir die Newtonsche Methode, Z. Angew. Math. Physik 1: 211-12.
|
| |
231
|
(1953): Beitrgge zur Kenntnis des Biorthogonalisicrungs algorithmus von C. Lanczos, Z. Angew. Math. Physik 4: 35-56.
|
| |
232
|
- (1954a): Der Quotienten-Differenzen-Algorithmus, Z. Angew. Math. Physik 5: 233-51.
|
| |
233
|
(1954b): Ein infinitesimales Analogon zum Quotient-Differenzen-Algorithmus, Arch. Math. 5: 132-7.
|
| |
234
|
MXNUEL SADOSr (1952) : "Celculo numerico y grffico", Liberia del Colegio, Buenos Aires, 347 pp.
|
| |
235
|
EDWARD SAIBEL AND W. J. BERGER (1953) : On finding the characteristic equation of a square matrix, MTAC 7: 228--36.
|
| |
236
|
G. S. SALEHOR (1952) : On the convergence of the process of tangent hyperbolas (Russian), Doklady Akad. Nauk SSSR 82: 525-8.
|
| |
237
|
HERBERT E. SnLZER (1944): A new formula for inverse interpolation, Bull. Amer. Math. Soc. 550: 513-16.
|
| |
238
|
- (1945): Inverse interpolation for eight-, nine-, ten-, and eleven-point direct interpolation, J. Math. Physics 24: 106-8.
|
| |
239
|
(1952a): Formulas for numerical differentiation in the complex plane, J. Math. Physics 31: 155-69.
|
| |
240
|
(1952b): On calculating the zeros of polynomials by the method of Lueas, J. Research Nat. Bur. Standards 49: 133--4.
|
| |
241
|
(1952c): New formulas for facilitating osculatory interpolation, J. Research Nat. Bur. Standards 552: 211-16.
|
| |
242
|
R. SAN JUAN (1935) : Complments la methode de Grffe pour la resolution des equations algebriques, Bull. Soc. Math. 559: 104-9.
|
| |
243
|
ARTHUR SARD (1952a): Remainders as integrals of partial derivatives, Proc. Amer." Math. Soc. 3: 732-41.
|
| |
244
|
(1952b) : Approximation and variance, Trans. Amer. Math. Soc. 73: 428--46.
|
| |
245
|
HANS SCHNEIDER (1952) : Theorems on normal matrices, Quart. J. Math., Oxford Set. (2) 8: 241-9.
|
| |
246
|
(1953):.An inequality for latent roots applied to determinants with dominant principal diagonal, J. London Math. Soe. 28: 8-20.
|
| |
247
|
JOHANN SCHRJDER (1953): Eine Bemerkung zur Konvergenz der Iterationsverfahren fur lineare Gleichungssysteme, Arch. Math. 4: 322-6.
|
| |
248
|
HNs SCHWEnDTFEGR (1953) : Problems in the theory of matrices and its tplications, Austratian J. Sci. 15: t12-5.
|
| |
249
|
H. SERnlN (1954): Numerical qutdrature of some improper inegrMs, Qtart. Appl. Math. i2: 188-94.
|
| |
250
|
D:NIEL SH.NKS (1954a) : A logarithm algorithm, MTAC 8: 60-4.
|
| |
251
|
---- (1954b): Non-linear transformations of divergent and slowly convergent soquences, Thesis, Univ. of Md.
|
| |
252
|
GOnGE SHORTLEY (1953) : Use of Tschebyscheff-polynomial operators in thee.numerical solution of boundary-value problems, J. Appl. Phys. 24: 392-6.
|
| |
253
|
FRANK WILIaA SNDEN (1954): Ein 0szillationssatz fiir algebrfische Eigenwcrtprobleme, Z. Angev. Math. Physik 5: 86-8.
|
| |
254
|
WALTER W. Sonox,(1954): "Amdog methods in computation and simulation", Mc- Graw-Hill Book Co., Inc., New York, xii + 390 pp.
|
| |
255
|
JEt, N-MARIE SOURIAU (1948) : Une mthode pour la d@composition spectrMe et l'inversion des matrices, Compt. rend. 227: 1010-11.
|
| |
256
|
J. F. STaUFFEr'SON (1933) : Remarks on iteration, Skand. Aktuarietidskr. 16: 65-72.
|
| |
257
|
---- (1945) : Further remtrks on iteration, Skand. Aktuarietidskr. 28: 44-55.
|
| |
258
|
P. STmN AND R. L. ROSE.ERC (1948) : On the solution of linear simultaneous equations by iteration, J. London Math. Soc. 23: 111-18.
|
| |
259
|
I. M. STESlN (1954): Ewduation of proper values by means of continued fractions (Russian), Uspehi Mate'm. Nauk. 9, 60: 191-8.
|
| |
260
|
EDU.RD STIEFL (1952/53): Ausgleichung ohne Aufstellung der Gausschen Normal. gleichungen, Wiss. Zts. Tech. Hochschule Dresden 2: 441-2.
|
| |
261
|
...... (1953) : Zur Interpolation yon tabellierten Funktionen durch Exponentialsummen und zur Bereehnung yon Eigenwerten aus den Schwarzschen Konstanten, Z. Angew. Math. Mech. 33: 260-2.
|
| |
262
|
I. V. SVlRSKIi (1952): On the estimation of the accuracy of variational methods of determining characteristic values, Doklady Akad. Nauk SSSR (N. S.) 87: 889-92.
|
| |
263
|
OTTO SZASZ (1950): Summation of slowly convergent series, J. Math. Physics 28: 272-79.
|
| |
264
|
L. TASNY-TscHLSS'Y (1953) : The location of the roots of polynomial equations by the repeated evaluation of linear forms, Quart. Appl. Math. i1: 319-26.
|
| |
265
|
A. H. TAvB (1951): A sampling method for solving the equations of compressible flow in a permeable medium, Proc. Midweastern Conf. on Fluid Dynamics. First Conference, 1950:121-7.
|
| |
266
|
OLGA TAUSSKr (1948) : Bounds for characteristic roots of matrices, Duke Math. J. 15: 1943-4.
|
| |
267
|
-- (cd.) (1954): Contributions to the solution of linear systems nd the determination of eigenvMues, National Bureau of Standards. Appl. Math. Set. No. 39, U. S. Govt. Printing Office.
|
| |
268
|
WILLIAM C. TArLO, Ja. (1954) : A neglected method for the resolution of polynomial equations, J. Franklin Inst. 257: 459-64.
|
| |
269
|
L. TCHAKALOFF (1948): Uber eine allgemeine Quadraturformel, C. R. Acad. Bulgare Sci. Math. Nat. 1: 9-12.
|
| |
270
|
D. TICHROEW (1952): Use of continued fractions in high speed computing, MTAC e: 127-33.
|
| |
271
|
K. D. TOCtiR (1954): The application of automatic computers to sampling expertments, J. Roy. Statist. Soe. Ser. B. 15:39-61 (discussion 61-75).
|
| |
272
|
JOgN TODD (1954) : L. F. Richardson (1881-1953), MTAC 8: 242-5.
|
| |
273
|
(1955) : Motivation for working in numerical analysis, Comm. Pure Appl. Math. 8: 97-116.
|
| |
274
|
PAOLO TORTOmCI (1951): Su un metodo numerico di cMcolo approssimato per gli integrali doppi, Ist. Naz. A ppl. Calcolo. Pub. 303, Rome, 7 pp.
|
| |
275
|
PAuL TUREN (1951): On approximative solution of algebraic equations, Publ. Math. 2: 26-42,
|
| |
276
|
H. W. TUnNtUIL (1927a) : Note on partial fractions and determinants, Proc. Edinburgh Math. Soc. (2) 1: 454.
|
| |
277
|
(1927b) : On differentiating a matrix, Proc. Edinburgh Math. Soc. (2) 1: 111-28.
|
| |
278
|
---- (1929): A matrix form of Taylor's theorem, Proc. Edinburgh Math. Soc. (2) 2: 33-54.
|
| |
279
|
---- (1936): Matrix differentiation of the characteristic function, Proc. Edinburgh Math. Soc. (2) 2: 256-64.
|
| |
280
|
---- (1947): "Timory of equations", Oliver and Boyd, Edinburgh and London, xii + 166 pp.
|
| |
281
|
M. C. K. TwEmI (1954) : A modification of the Aitken-Neville linear iterative proeedures for polynomial interpolation, MTAC 8: 13-16.
|
| |
282
|
C. W. TYLER (1953) :Numerical integration of functions of several variables, Canadian J. Math. 5: 393-412.
|
| |
283
|
J. L. ULLMtN (1951): Hankel determinants whose elements are sections of a Taylor series. Part I., Duke Math. J. 18: 751-6.
|
| |
284
|
- (1952): Hankel determinants whose elements are sections of a Taylor series. Part II., Duke Math. J. 19: 155-64.
|
| |
285
|
H. UNGR (1952): Zur Aufl6sung umfangreicher linearer Gleichungssysteme, Z. Angew. Math. Mech. $2: 1-9.
|
| |
286
|
---- (1953): Zur Praxis der Biorthonormierung yon Eigen- und Hauptvektoren, Z. Angew. Math. Mech. 33: 319-31.
|
| |
287
|
Cm J. DE LA VALLfE POUSmN (1911): Sur la m6thode de l'approximation minimum, Soc. Sci. Brux., Ann. 20, Mdmoires: 35: 1-16. (Eng. trans, and suppl, notes by N. E. Salzer, private distribution.)
|
| |
288
|
RICHARD S. VARGA (1954): Eigenvalues of eirculant matrices, Pacific J. Math. 4: 151-60.
|
| |
289
|
GIUSm, PE VAROLI (1954): Aleune osservazioni sul metodo di iterazione per la risoluzione approssimata delle equazioni, Period. Mat. (4) 32: 70-76.
|
| |
290
|
HJBERT VAUCm.tN (1954): Symmetry in central polynomial interpolation, J. Inst. Actuar. 80: 63-8.
|
| |
291
|
V. P. VE'rINKIN AND F. M. KOGAN (1949): New methods of numerical quadrature (Russian) Gostehizdat, Moscow-Leningrad, 22 pp.
|
| |
292
|
TULLIO V1OLt (1952): Sur l'approximation des fonetions continues, Jour. Math. 31: 91-101.
|
| |
293
|
ALFRED VOGEL (1950) : Cur Bestimmung der Eigenwerte einer Matrix dureh Iteration, Z. Angew. Math. Mech. 30: 174-82.
|
| |
294
|
H. S. WALL (1948): "Analytic theory of continued fractions", Van Nostrand, New Yol-k, xiii + 433 pp.
|
| |
295
|
MORQAN WARD (1930) : The reversion of a power series, Rend. Circ. Mat. Palermo. 45: 4.2-6.
|
| |
296
|
WOLFFGANG WASOW (1953) : Metodi probabilistiei per la risoluzione numeriea di alcuni problemi di analisi e di algebra, Rend. Mat. e app. Rome (5) 11: 1-11.
|
| |
297
|
KeelemRo WASHIZU (1953): Geometrical representations of bounds of eigenvalues, J. Jap. Soe. Appl. Mech. 5: 29-32.
|
| |
298
|
L WEBER (1949) : Sur les m6thodes de caleul employees pour la recherche des valeurs et veeteurs propres d'une matrice, Rech. Adronautique 199 No. 10: 57-60.
|
| |
299
|
U. WEGNER (1951) : Bemerkungen zu den Iterationsverfahren fiir lineare Gleiehungssysteme, Z. Angew. Math. Mech. 31: 243-4.
|
| |
300
|
---- (1953a) : Bemerkungen zur Matrizentheorie, Z. Angew. Math. Mech. SS: 262--4.
|
| |
301
|
---- (1953b): Contributi alla teoria dei proeedimenti iterativi per la risoluzione numeriea dei sistemi di equazionl lineari Mgebriche, Atti Accad. Naz. Lineei., Mere. Cl. Sci. Fis. Mat. Nat. (8) .4: 1-48. 100 ALSTON S. HOUSEHOLDER
|
| |
302
|
JOmXNNES WEISSrqGER (1951) : Uber das Iterationsverfahren, Z. Angew. Math. 31 : 245-6.
|
| |
303
|
(1952): Zur Theorie und Anwendung des IterationsverfLthrens, Math. Nachr. 8 193-212.
|
| |
304
|
-- (1953): Verallgemeinerungen des Seidelschen Iterationsverfahrens, Z. Angew. Math. Mech. 33: 155-63.
|
| |
305
|
F. WNZL (1954): ber Gleichungssysteme der Tsehebyscheffschen Approximation, Z. Angew. Math. Mech. 34: 385-91.
|
| |
306
|
MtmON WZTZm (1954): Applications of continued fractions, Project in Numerical Solution of Integral Equations, Office of Ordnance Research, U. S. Army, Technical Report No. 5.
|
| |
307
|
HERMANN WEYL (1949) : Inequalities between the two kinds of eigenvalues of a linear transformation, Proc. Nat. Acad. Sci. 35: 408-11.
|
| |
308
|
ttELMUT WIIgLANDT (1948): Ein Einschliessungssatz ffir charakterische Wurzeln normaler Matrizen, Arch. Math. i: 348-52. i
|
| |
309
|
---- (1949): Die Einschliessung von Eigenwerten normaler Matrizen, Math. Ann: 121: 234-41.
|
| |
310
|
-- (1950) : Unzerlegbare, nicht negative Matrizen, Math. Z. 52: 642-8.
|
| |
311
|
-- (1953): Error bounds for eigenvalues of symmetric integral equations, NBS Reports 2831.
|
| |
312
|
A. vo WIJNGAAIDEN (1953) : A transformation of formal series, Nederl. Akad. Weten seh., Proc. 56: 522--43.
|
| |
313
|
J. H. WILKINSON (1954) : The calculation of the latent roots and vectors of mat1 the Pilot Model of the A.C.E., Proc. Cambridge Philos. Soc. 50: 536-66.
|
| |
314
|
R. WILSON (1954): Determinantal criteria for meromorphic functions, Proc. Math. Soc. (3) 4: 357-74.
|
| |
315
|
JOHN WISHART AND THEOCHARIS METAKIDES (1953): Orthogonal polynomial Biometrika 40: 361-9.
|
| |
316
|
C. E. WOLFE (1928): Note on numerical integration, Proc. Edinburgh Math. 1: 139--48.
|
| |
317
|
Y. K. WONG (1953) : An inequality for Minkowski matrices, Proc. Amer. Math. 137-41.
|
| |
318
|
ANDREW YOU'G (1954): Approximate product-integration, Proe. Roy. Soc. 24A: 552-61.
|
| |
319
|
DAVID YouNo (1954a): On Richardson's method for solving linear systems with posi tive definite matrices, J. Math. Physics 32: 243-55.
|
| |
320
|
(1954b): Iterative methods for solving partial difference equations of ellipfii type, Trans. Amer. Math. Soc. 76: 92-111.
|
| |
321
|
S. I. ZuHowcxIi (1953) : On the best approximation in the sense of P .L . ebyev of finite system of incompatible linear equations, Mat. Sbornik. N. S. 38(75) 327-42
|
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