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Yale sparse matrix package. I: The symmetric codes. (English) Zbl 0492.65012

MSC:
65F05 Direct numerical methods for linear systems and matrix inversion
65-04 Software, source code, etc. for problems pertaining to numerical analysis
Software:
LINPACK; MA28; SSLEST; symrcm; YSMP
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References:
[1] ’Application of sparse matrix methods in electric power system analysis’, in R. A. Willoughby, Ed., Sparse Matrix Proceedings, Report RA1, IBM Research, Yorktown Heights, New York, 1968.
[2] and , ’Two FORTRAN subroutines for direct solution of linear equations whose matrix is sparse, symmetric, and positive definite’, Harwell Report AERE-R7119, 1972.
[3] , and , ’The Yale matrix package II: the non-symmetric codes’, Report 114, Yale Univeristy Department of Computer Scinece, 1977.
[4] , and , ’Application of sparse matrix methods to partial differential equations’, Proc. AICA Int. Symp. on Computer Methods for Partial Differential Equations, Bethlehem, Pennsylvania, 1975, pp. 40-45.
[5] Eisenstat, SIAMJ. Sci. Stat. Comput. 2 pp 225– (1981)
[6] ’Some basic techniques for solving sparse systems of linear equations’, in and , Eds., Sparse Matrices, and Their Applications, Plenum Press, 1972, pp. 41-52. · doi:10.1007/978-1-4615-8675-3_4
[7] Interational Mathematical, and Statistical Libraries, Inc. The IMSL Library 3, Edition 6, 1977.
[8] and , ’Programs for the solution of large sparse matrix problems based on the are-graph structure’, Technical Report TR-262, University of Maryland Computer Scinence, 1973.
[9] ’A graph-theoretic study of the numerical solution of sparse positive definite systems of linear equations’, in Ed., Graph Theory, and Computing, Academic Press, 1972, pp. 183-217. · doi:10.1016/B978-1-4832-3187-7.50018-0
[10] ’On the efficient solution of sparse systems of linear, and nonlinear equations’, Ph.D. dissert., Department of Computer Science, Ylae University, 1975.
[11] ’Yale sparse matrix package users guide’, Report UCID-30114, Lawrence Livermore Laboratory, 1975.
[12] , , and , ’LINPACK user’s guide’, Society for Industrial, and Applied Mathematics, 1979.
[13] ’MA28–a set of Fortran subroutines for sparse unsymmetric linear equations’, AERE Report R. 8730, HMSO, London, 1977.
[14] and , Computer Solution of Large Sparse Positive Definite Systems, Prentice-Hall, 1981. · Zbl 0516.65010
[15] and , ’SSLEST: A Fortran IV subroutine for solving sparse systems of linear equations. User’s guide’, Technical Report 78-01, Numersk Inst., Denmark, 1978.
[16] ’Fortran subroutines for direct solution of sets of sparse, and symmetric linear equations’, Report NI-77-05, Technical University of Denmark, 1977.
[17] ’An implementation of the minimum degree algorithm’ (to appear).
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