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
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
收藏
页码:665 / 673
页数:9
相关论文
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[Anonymous], 1959, The Theory of Matrices
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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