A Comparison of Algorithms for Solving Symmetric Indefinite Systems of Linear Equations

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A Comparison of Algorithms for Solving Symmetric Indefinite Systems of Linear Equations

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ACM Transactions on Mathematical Software (TOMS) archive
Volume 2 , Issue 3 (September 1976) table of contents

Pages: 242 - 251

Year of Publication: 1976

ISSN:0098-3500

Authors

Victor Barwell	Chemical Research, Ontario Hydro, Toronto, Ont., Canada
Alan George	Department of Computer Science, University of Waterloo, Waterloo, Ont., Canada N2L 3G1

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.

	1	AAsE~, J O. On the reduction of a symmetmc matrix to trldlagonal form. BIT 1I (1973), 233-242.
	2	BraNCH, J R. Analysis of the diagonal pivoting method. SIAM J. Numer. Anal. 8 (1971), 656-680
	3	BraNCh, J.R., AND K~tVFMAN, L. Some stable methods for calculating inertia and solving symmetric linear systems. Rep. CU-CS-063-75, Dep. Comptr. Sci., U. of Colorado, Boulder, Colo., March 1975.
	4	BraNCH, J.R., AND PARLETT, B.N. Direct methods for solving symmetric indefimte systems of linear equations. SIAM J. Numer. Anal. 8 (1971), 639-655.
	5	George E. Forsythe , Michael A. Malcolm , Cleve B. Moler, Computer Methods for Mathematical Computations, Prentice Hall Professional Technical Reference, 1977
	6	FORSYTHE, G.E., AND MOLER, C.B. Computer Solution of Linear Algebrazc Systems. Prentice- Hall, Englewood Cliffs, N J 1967.
	7	GEORGE, A. Computer implementation of the finite element method. Tech. Rep. Stan- CS-71-208, Dep. Comptr. Scl., Stanford U., Stanford, Calif.
	8	The IMSL L~brary, Vol 1. Int. Mathematical and Statistical Llbrarms, Inc., Houston, Tex., 1973.
	9	I:)ARLETT, B.N., AND REID, J.K. On the solution of a system of linear equations whose matrix is symmetric but not definite. BIT 10 (1970), 386-397.
	10	RYDER, B.G. "The PFORT verifier. Software Practwe and Experience 4 (1974), 359- 377.
	11	SMITE, B.T., BOrLE, J.M., GARBOW, B.S., IKEBE, Y., KLEMA, V.C., AND M~OLER, C.B. Lecture Notes zn Computer Science, Matmx E~gensystem Routines E~spack Guide. Springer, New York, 1974, pp. 351-352.
	12	USA Standard Fortran. ANS X3.9-1966, Amer. Nat Standards Inst, New York, 1966.
	13	WESTLAKE, J. Handbook of Numemcal Matmx Inverswn and Solution of Linear Equations. Wiley, New York, 1968.
	14	WILKINSON, J.H., AND REINSCH, C. Handbook for A~tomatic Computation, Vol. 11. Springer, New York, 1971.