Conditions for unique solvability of the matrix equation AX plus X*B = C

被引：3

作者：

Vorontsov, Yu O. ^{[1
]}

Ikramov, Khakim D. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Computat Math & Cybernet, Moscow 119992, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2012年 / 52卷 / 05期

关键词：

Sylvester matrix equations; equivalence transformations; regular pencil; Weierstrass canonical form; singular pencil; Kronecker canonical form;

D O I：

10.1134/S0965542512050156

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Conditions for the unique solvability of the matrix equation AX + X*B = C are formulated in terms of the eigenvalues and the Kronecker structure of the matrix pencil A + lambda B* associated with this equation.

引用

页码：665 / 673

页数：9

共 5 条

[1]

[Anonymous], 1959, The Theory of Matrices

[2] On the Unique Solvability of the Matrix Equation AX + XTB = C in the Singular Case [J].

Ikramov, Kh. D. ;

Vorontsov, Yu. O. .

DOKLADY MATHEMATICS, 2011, 83 (03) :380-383

[3] Conditions for unique solvability of the matrix equation AX + X T B = C [J].

Ikramov, Kh. D. .

DOKLADY MATHEMATICS, 2010, 81 (01) :63-65

[4]

Ikramov Kh. D., 1991, PROGR SCI TECHNOLOGY, V29, P3

[5]

Ikramov Kh. D., 1984, Numerical Solution of Matrix Equations

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