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

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE