Accession Number:
AD0687461
Title:
A CONVERGENT SPLITTING OF MATRICES.
Descriptive Note:
Technical summary rept.,
Corporate Author:
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s):
Report Date:
1969-01-01
Pagination or Media Count:
10.0
Abstract:
Let A, M, N be n x n real matrices, let A M - N, let A and M be nonsingular, let My or 0 imply Ny or 0, and let Ay or 0 imply Ny or where the prime denotes the transpose. Then the spectral radius rhoM superscript-1 N of M superscript -1 N is less than one, and the iterative process x superscript i1 M superscript -1 N x superscript i M superscript -1 b converges to the solution of Ax b starting from any x superscript zero. Author
Descriptors:
Subject Categories:
- Theoretical Mathematics