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Algorithm 696: an inverse rayleigh iteration for complex band matrices
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Source ACM Transactions on Mathematical Software (TOMS) archive
Volume 17 ,  Issue 3  (September 1991) table of contents
Pages: 335 - 340  
Year of Publication: 1991
ISSN:0098-3500
Author
Géza Schrauf  Deutsche Airbus GmbH, Bremen, Germany
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 3,   Downloads (12 Months): 36,   Citation Count: 1
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appendices and supplements   references   cited by   index terms   peer to peer  

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APPENDICES and SUPPLEMENTS
gZip696.gz (9 KB)
inverse rayleigh iteration for complex band matrices
Gams: d4a4, d4a


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
DONGARRA, J J., MOLER, C. B., BUNCH, J. R., AND, STEWART, G.W. LINPACK User's Guzde. SIAM, Philadelphia, 1979.
 
2
OSTROWSKY, A M. On the convergence of the Rayleigh quotient iteration for the computatlon of characteristic roots and vectors. I, II, III, IV, V, VI. Arch. rat. Mech. Anal I (1958), 233 241; 2 (1958), 423 428; 3 (1958) 325-340; 3 (1958) 341-347; 3 (1958) 472-481; 4 (1959) 153-165.
 
3
MITH, B. T., BOYLE, J. M., DONGARRA, J. J., GARBOW, B. S, IKEBE, Y., KLEMA, V. C., AND MOLER, C. B. Matrix Eigensyster~ Routlnes--EISPACK Guide Springer Verlag, Berlin, 1976.
4
Géza Schrauf, ALGORITHM 664: a Gauss algorithm to solve systems with large, banded matrices using random-access disk storage, ACM Transactions on Mathematical Software (TOMS), v.14 n.3, p.257-260, Sept. 1988  [doi>10.1145/44128.214379]
 
5
SCHRAUF, G An efficient solver of the eigenvalue problem of the linear stability equations for three-dimensional, compressible boundary-layer flows. In StrSmungen m~t AblSsung, 6. DGLR-Bericht 88-05, 1988. DGLR Fach-Symposium 8.-10 Nov 1988, Braunschweig

CITED BY
Gary W. Howell , Nadia Diaa, Algorithm 841: BHESS: Gaussian reduction to a similar banded Hessenberg form, ACM Transactions on Mathematical Software (TOMS), v.31 n.1, p.166-185, March 2005

INDEX TERMS

Primary Classification:
  G. Mathematics of Computing
  G.1 NUMERICAL ANALYSIS
      G.1.3 Numerical Linear Algebra
          Subjects: Eigenvalues and eigenvectors (direct and iterative methods)

Additional Classification:
  D. Software
  D.3 PROGRAMMING LANGUAGES
      D.3.2 Language Classifications

          Nouns: FORTRAN 77

  F. Theory of Computation
  F.2 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY
      F.2.1 Numerical Algorithms and Problems
          Subjects: Computations on matrices


General Terms:
Algorithms, Theory


Keywords:
banded matrices, inverse Rayleigh iteration


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