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Convergence of multisplitting method for a symmetric positive definite matrix

โœ Scribed by Jae Heon Yun; Seyoung Oh; Eun Heui Kim

Publisher
Springer-Verlag
Year
2005
Tongue
English
Weight
190 KB
Volume
18
Category
Article
ISSN
1598-5865

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A parallel symmetric multisplitting method for solving a symmetric positive system Ax = b is presented. Here the s.p.d. (symmetric positive definite) matrix A need not be assumed in a special form (e.g. the dissection form (R.E. White, SIAM J. Matrix Anal. Appl. 11 (1990) 69-82). The main tool for d

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Nonstationary synchronous two-stage multisplitting methods for the solution of the symmetric positive definite linear system of equations are considered. The convergence properties of these methods are studied. Relaxed variants are also discussed. The main tool for the construction of the two-stage

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It is shown for an n x n symmetric positive definite matrix T = (t, j) with negative offdiagonal elements, positive row sums and satisfying certain bounding conditions that its inverse is well approximated, unifornaly to order l/n 2, by a matrix S = (s,,,