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Approximating the inverse of a symmetric positive definite matrix

โœ Scribed by Gordon Simons; Yi-Ching Yao

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
405 KB
Volume
281
Category
Article
ISSN
0024-3795

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โœฆ Synopsis

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,,,

๐Ÿ“œ SIMILAR VOLUMES

Symmetric multisplitting of a symmetric
Symmetric multisplitting of a symmetric positive definite matrix
โœ Zhi-Hao Cao; Zhong-Yun Liu ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 562 KB

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