Accession Number : AD0662744
Title : NEW ROOT-LOCATION THEOREMS FOR PARTITIONED MATRICES.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Brenner,J. L.
Report Date : AUG 1967
Pagination or Media Count : 19
Abstract : In solving systems of linear equations by iteration methods, an advance guarantee is sometimes needed that the iteration will converge. Such a guarantee is available from one or another of the class of theorems known as root-location theorems, or Gersgorin-type theorems. In an unpublished report, the author had given methods for discovering such theorems, and for finding counterexamples to unfounded conjectures. In the present paper, several new root-location theorems are given.
Descriptors : (*ITERATIONS, CONVERGENCE), (*MATRICES(MATHEMATICS), THEOREMS), COMPLEX NUMBERS, INEQUALITIES
Subject Categories : THEORETICAL MATHEMATICS
Distribution Statement : APPROVED FOR PUBLIC RELEASE