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 In an unpublished report, the author had given methods for discovering such theorems, and for finding counterexamples to unfounded conjectures.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