# 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