SOME ALGEBRAIC PROBLEMS IN CONNECTION WITH GENERAL EIGENVALUE ALGORITHMS

被引：28

作者：

ELSNER, L

机构：

[1] Fakultät für Mathematik Universität Bielefeld, 4800 Bielefeld 1

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1979年 / 26卷 / AUG期

关键词：

D O I：

10.1016/0024-3795(79)90175-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Two real matrices A,B are S-congruent if there is a nonsingular upper triangular matrix R such that A = RTBR. This congruence relation is studied in the set of all nonsingular symmetric and that of all skew-symmetric matrices. Invariants and systems of representation are give. The results are applied to the question of decomposability of a matrix in a product of an isometry and an upper triangular matrix, a problem crucial in eigenvalue algorithms. © 1979.

引用

页码：123 / 138

页数：16

共 10 条

[1] Artin E., 1988, GEOMETRIC ALGEBRA, DOI 10.1002/9781118164518
[2] BENISRAEL A, GENERALIZED INVERSES
[3] Brebner M. A., 1974, 245 U CALG DEP MATH
[4] BUNSEGERSTNER A, 1978, THESIS U BIELEFELD
[5] NUMERICAL LINEAR ALGORITHMS AND GROUP-THEORY
DELLADORA, J
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1975, 10 (03) : 267 - 283
[6] DELLADORA J, 1973, THESIS FS GRENOBLE
[7] Gantmacher F., 1959, THEORY MATRICES, VI
[8] GEISLER R, 1976, NUMERISCHE BEHANDLUN
[9] GRAD J, 1974, 238 U CALG DEP MATH
[10] Marcus M., 1964, SURVEY MATRIX THEORY

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