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):
Report Date:
1967-08-01
Pagination or Media Count:
19.0
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 In an unpublished report, the author had given methods for discovering such theorems, and for finding counterexamples to unfounded conjectures.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:
Subject Categories:
- Theoretical Mathematics