ON A QR-LIKE ALGORITHM FOR SOME STRUCTURED EIGENVALUE PROBLEMS

被引：10

作者：

GEORGE, A ^{[1
]}

IKRAMOV, KD ^{[1
]}

MATUSHKINA, EV ^{[1
]}

TANG, WP ^{[1
]}

机构：

[1] MOSCOW MV LOMONOSOV STATE UNIV,FAC NUMER MATH & CYBERNET,MOSCOW 119890,RUSSIA

来源：

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS | 1995年 / 16卷 / 04期

关键词：

CONSIMILARITY; UNITARY CONGRUENCE; CONEIGENVALUE; YOULA FORM; CON-QR ALGORITHM;

D O I：

10.1137/S0895479893255196

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a QR-like algorithm, called the con-QR algorithm, for computing the Youla form of a general complex matrix is presented. The Youla form is an analog of the Schur form where unitary congruences instead of unitary similarities are employed. We introduce a set of invariants of a unitary congruence transformation which are called coneigenvalues, and discuss their condition. Finally, the practical value of the Youla form is discussed.

引用

页码：1107 / 1126

页数：20

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