THE GENERALIZED SCHUR DECOMPOSITION OF AN ARBITRARY PENCIL-A - LAMBDA-B - ROBUST SOFTWARE WITH ERROR-BOUNDS AND APPLICATIONS .2. SOFTWARE AND APPLICATIONS

被引：78

作者：

DEMMEL, J

KAGSTROM, B

机构：

[1] UNIV CALIF BERKELEY,DEPT MATH,BERKELEY,CA 94720

[2] UMEA UNIV,INST INFORMAT PROC,S-90187 UMEA,SWEDEN

来源：

ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE | 1993年 / 19卷 / 02期

关键词：

ALGORITHMS; RELIABILITY; THEORY; CONTROLLABLE SUBSPACE; GENERALIZED EIGENVALUES; ILL-POSED PROBLEM; KRONECKER CANONICAL FORM; MATRIX PENCILS; REDUCING SUBSPACES; SCHUR DECOMPOSITION; SOFTWARE; UNCONTROLLABLE MODES;

D O I：

10.1145/152613.152616

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

Robust software with error bounds for computing the generalized Schur decomposition of an arbitrary matrix pencil A - lambdaB (regular or singular) is presented. The decomposition is a generalization of the Schur canonical form of A - lambdaI to matrix pencils and reveals the Kronecker structure of a singular pencil. The second part of this two-part paper describes the computed generalized Schur decomposition in more detail and the software, and presents applications and an example of its use. Background theory and algorithms for the decomposition and its error bounds are presented in Part I of this paper.

引用

页码：175 / 201

页数：27

共 21 条

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