Investigations on Improved Iterative Methods for Solving Sparse Systems of Linear Equations.
Abstract
The research conducted under this effort was centered about general matrix methods and applications of matrix theory in solving large systems of linear equations. In particular, the classification of certain factorizations of M matrices was undertaken. An extension of the Stein-Rosenberg theorem comparing the spectral radii of matrices useful in constructing iterative solution techniques was obtained. The use of summability methods and approximated conformal mapping techniques in the study of iterative methods was pursued. Finally, a study of SOR and SSOR iterative methods was accomplished using the theory of H matrices. Eleven papers appeared in the referred literature during this effort. Keywords: General matrix methods; Large systems of linear equations; Stein-Rosenberg theorem.
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1985
- Accession Number
- ADA166170
Entities
People
- Richard S. Varga
Organizations
- Kent State University