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The Multifrontal Solution of Indefinite Sparse Symmetric Linear
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Source ACM Transactions on Mathematical Software (TOMS) archive
Volume 9 ,  Issue 3  (September 1983) table of contents
Pages: 302 - 325  
Year of Publication: 1983
ISSN:0098-3500
Authors
I. S. Duff  Computer Science and Systems Division, AERE Harewell, Oxford OX11 ORA, England
J. K. Reid  Computer Science and Systems Division, AERE Harewell, Oxford OX11 ORA, England
Publisher
ACM  New York, NY, USA
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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.

 
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BUNCH, J.R., AND ROSE, D.J. (Eds) Sparse Matrix Computatmns. Academic Press, New York, 1976.
 
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DUFF, I.S. MA28--A set of Fortran subroutines for sparse unsymmetnc linear equations HarweU Rep. AERE R. 8730, HMSO, London, 1977.
 
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DUFF, I.S Design features of a code for solving sparse unsymmetric hnear systems out-of-core. SIAM J. Sc~ Stat Comput. 4 (1983).
 
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DUFF, I.S., MA32-A package for solving sparse unsymmetnc systems using the frontal method. Harwell Rep AERE R. 10079, HMSO, London, 1981.
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DUFF, I.S., REID, J.K., MUNKSGAARD, N., AND NIELSEN, H.B. Direct solution of sets of linear equations whose matrix is sparse, symmetric and indefinite. J. Inst. Maths. Appl. 23 (1979), 235-250
 
8
DUFF, I.S., AND STEWART, G.W. (Eds.) Sparse Matrix Proceedings 1978. SIAM Press, Philadelphia, Pa., 1979.
 
9
EISENSTAT, S.C., GURSKY, M C., SCHULTZ, M H., AND SHERMAN, A H. The Yale sparse matrix package, I The symmetric codes, and, II The non-symmetric codes. Reps. 112 and 114, Dept. Computer Science, Yale Univ., New Haven, Corm, 1977.
 
10
EISENSTAT, S.C., GURSKY, M C., SCHULTZ, M.H, AND SHERMAN, A.H. Yale sparse matrix package I The symmetric codes. Int. J. Numer. Meth. Eng 18 (1982), 1145-1151.
 
11
EISENSTAT, S.C., SCHULTZ, M.H., AND SHERMAN, A H. Applications of an element model for Gaussian elimination. In Sparse Matrix Computations, J. R. Bunch and D. J. Rose (Eds.), Academic Press, New York, 1976, pp. 85-96.
 
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EISENSTAT, S.C., SCHULTZ, M.H., AND SHERMAN, A.H. Software for sparse Gaussian elimination with ILmited core storage. In Sparse Matrix Proceedings 1978, I.S. Duff and G.W. Stewart (Eds.), SIAM Press, Philadelphia, Pa., 1979.
 
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EISENSTAT, S C., SCHULTZ, M.H., AND SHERMAN, A.H. Algorithms and data structures for sparse symmetric Gaussian elimination. SIAM J. Sc~. Star Comput. 2 (1981), 225-237.
 
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EVERSTINE, G.C. A comparmon of three resequencing algorithms for the reduction of matrix profile and wavefront. Int. J Numer. Meth. Eng. 14 (1979), 837-853.
 
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GEORGE, J.A., AND LIU, J.W.H. An automatic nested dissection algorithm for irregular finite element problems. SIAM J. Numer. Anal. 15 (1978), 1053-1069.
 
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GEORGE, J.A., AND LIU, J W.H. A minimal storage implementation of the minimum degree algorithm. SIAM J Numer. Anal. 17 (1980), 282-299
 
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GEORGE, A., LIU, J.W., AND NG, E. User grade for SPARSPAK: Waterloo sparse linear equations package. Res. Rep. CS-78-30 (Rev. Jan. 1980), Dept. Computer Science, Univ. of Waterloo, Waterloo, Ont., Canada, 1980.
 
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HOOD, P. Frontal solution program for unsymmetric matrices. Int. J. Numcr Meth. Eng. 10 (1976), 379-400.
 
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IRONS, B.M. A frontal solution program for finite element analysis. Int. J. Numer. Meth Eng. 2 (1970), 5-32
 
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PETERS, F.J. Sparse matrices and substructures Mathematical Centre Tracts 119, Mathematisch Centrum, Amsterdam, The Netherlands, 1980.
 
22
REIn, J.K. Two Fortran subroutmes for direct solutmn of linear equations whose matrix is sparse, symmetric and posltwe definite. Harwell Rep AERE R. 7119, HMSO, London, 1972,
 
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SHERMAN, A.H On the efficient solutmn of sparse systems of linear and nonlinear equatmns. Res Rep. 46, Dept. Computer Science, Yale Univ., New Haven, Conn, 1975.
 
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SPEELPENNING, B. The generalized element method. Private communication, 1973; also, issued as Rep. UIUCDCS-R-78-946, Dept. Computer Science, Umv. of Ilhnois at Urbana-Champmgn, 1978.

CITED BY  65