Iterations for Diagonally Dominant Matrices
Canadian mathematical bulletin, Tome 19 (1976) no. 3, pp. 375-377
Voir la notice de l'article provenant de la source Cambridge University Press
Matrix iterative methods of solving systems of linear algebraic equations for a class of matrices which includes strictly and irreducibly diagonally dominant matrices are considered and a convergence theorem proved.
Mots-clés :
65F10, 15A06, 15A15, Iterations, algebraic systems, diagonally dominant matrices
Shivakumar, P. N.; Chew, Kim Ho. Iterations for Diagonally Dominant Matrices. Canadian mathematical bulletin, Tome 19 (1976) no. 3, pp. 375-377. doi: 10.4153/CMB-1976-059-1
@article{10_4153_CMB_1976_059_1,
author = {Shivakumar, P. N. and Chew, Kim Ho},
title = {Iterations for {Diagonally} {Dominant} {Matrices}},
journal = {Canadian mathematical bulletin},
pages = {375--377},
year = {1976},
volume = {19},
number = {3},
doi = {10.4153/CMB-1976-059-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1976-059-1/}
}
TY - JOUR AU - Shivakumar, P. N. AU - Chew, Kim Ho TI - Iterations for Diagonally Dominant Matrices JO - Canadian mathematical bulletin PY - 1976 SP - 375 EP - 377 VL - 19 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1976-059-1/ DO - 10.4153/CMB-1976-059-1 ID - 10_4153_CMB_1976_059_1 ER -
[1] 1. James, K. R., Convergence of Matrix Iterations Subject to Diagonal Dominance, SIAM J. Numer. Anal. Vol. 10, No. 3, (1973), 478–484. Google Scholar
[2] 2. Shivakumar, P. N. and Chew, K. H., A sufficient condition for non-vanishing of determinants, Proc. of Amer. Math. Soc. Vol. 43, 1 (1974), 63–66. Google Scholar
[3] 3. Varga, R. S., Matrix Iterative Analysis, Prentice-Hall, Englewood Cliffs, N.J., 1962. Google Scholar
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