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 In an unpublished report, the author had given methods for discovering such theorems, and for finding counterexamples to unfounded conjectures.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