Some New Convergence Conditions for Jacobi's Method

Document Type

Article

Publication Date

1-1-1982

Abstract

Let Aχ = b be a linear system or equations in which A is an n × n matrix and both χ and b are n dimensional column vectors. If in addition A is row diagonally predominant (i.e. for any i, |:aii|>|:aij|: for all 1≤j≤n,i≠j), then criteria are developed to show how to ascertain when such matrix problems may be successfully solved using Jacobi's iterative method. © 1982.

Identifier

0020096837 (Scopus)

Publication Title

Journal of the Franklin Institute

External Full Text Location

https://doi.org/10.1016/0016-0032(82)90067-9

ISSN

00160032

First Page

61

Last Page

71

Issue

2

Volume

313

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