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Monitoring the stability of the triangular factorization of a sparse matrix. (English) Zbl 0271.65021


MSC:

65F05 Direct numerical methods for linear systems and matrix inversion
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References:

[1] Businger, P. A.: Monitoring the numerical stability of Gaussian elimination. Num. Math.16, 360-361 (1971) · Zbl 0194.18103 · doi:10.1007/BF02165006
[2] Erisman, A. M.: Sparse matrix approach to the frequency domain analysis of linear passive electrical networks. Sparse matrices and their applications. Ed. Rose, D. J. and Willoughby, R. A., 31-40. Plenum Press, New York (1972)
[3] Reid, J. K.: A note on the stability of Gaussian elimination. J. Inst. Maths. Applics.8, 374-375 (1971) · Zbl 0229.65030 · doi:10.1093/imamat/8.3.374
[4] Gear, C. W.: The automatic integration of ordinary differential equations. Comm. ACM,14, 176-179 (1971) · Zbl 0217.21701 · doi:10.1145/362566.362571
[5] Marlow S., Reid, J. K.: Fortran subroutines for the solution of linear equations, inversion of matrices and evaluation of determinants. A.E.R.E. Report R. 6899. HMSO London (1971)
[6] Wilkinson, J. H.: Error analysis of direct methods of matrix inversion. J. ACM.8, 281-330 (1961) · Zbl 0109.09005 · doi:10.1145/321075.321076
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