Add to ORKGThe main result of the paper is a theorem, using which a new proof of Roth's theorem is obtained, a new solvability criterion for the matrix equation AX-YB = C is proved, a formula for a particular solution of the latter is derived, and the least of the orders of square nonsingular matrices containing a given rectangular matrix as a submatrix is determined. Bibliography: 5 titles. © 2006 Springer Science+Business Media, Inc
AbstractRoth's theorem on the solvability of matrix equations of the form AX−YB=C is proved for matr...
AbstractIn this paper, two new matrix iterative methods are presented to solve the matrix equation A...
In a previous article by Aihua Li and Duane Randall, the existence of solutions to certain matrix eq...
The main result of the paper is a theorem, using which a new proof of Roth's theorem is obtained, a ...
AbstractA necessary and sufficient condition is established for solvability of the matrix equation A...
W.E. Roth (1952) proved that the matrix equation AX-XB=C has a solution if and only if the matrices ...
AbstractWe give a necessary and sufficient condition for the consistency of the matrix equation X − ...
For the pair of matrix equations AX = C, XB = D this paper gives common solutions of minimum possibl...
AbstractFor a complex matrix equation AXB=C, we solve the following two problems: (1) the maximal an...
AbstractIn this paper, the properties of the strict Chebyshev solutions of the linear matrix equatio...
AbstractLet A be an n×s matrix of rank r, B be an n×t matrix of rank ρ⩽r, and X be an s×t matrix. Th...
AbstractFor a consistent complex matrix equation AX+YB=C, we solve the following two problems:(1)the...
AbstractIn this paper, the matrix equation with two unknown matrices X, Y of form AXB + CYD = F is d...
AbstractThis note deals with the consistency of complex matrix equations AX − YB = C and AX − XB = C...
ABSTRACT Some methods of finding the solutions of Matrix equation AX XB = C were discussed startin...
AbstractRoth's theorem on the solvability of matrix equations of the form AX−YB=C is proved for matr...
AbstractIn this paper, two new matrix iterative methods are presented to solve the matrix equation A...
In a previous article by Aihua Li and Duane Randall, the existence of solutions to certain matrix eq...
The main result of the paper is a theorem, using which a new proof of Roth's theorem is obtained, a ...
AbstractA necessary and sufficient condition is established for solvability of the matrix equation A...
W.E. Roth (1952) proved that the matrix equation AX-XB=C has a solution if and only if the matrices ...
AbstractWe give a necessary and sufficient condition for the consistency of the matrix equation X − ...
For the pair of matrix equations AX = C, XB = D this paper gives common solutions of minimum possibl...
AbstractFor a complex matrix equation AXB=C, we solve the following two problems: (1) the maximal an...
AbstractIn this paper, the properties of the strict Chebyshev solutions of the linear matrix equatio...
AbstractLet A be an n×s matrix of rank r, B be an n×t matrix of rank ρ⩽r, and X be an s×t matrix. Th...
AbstractFor a consistent complex matrix equation AX+YB=C, we solve the following two problems:(1)the...
AbstractIn this paper, the matrix equation with two unknown matrices X, Y of form AXB + CYD = F is d...
AbstractThis note deals with the consistency of complex matrix equations AX − YB = C and AX − XB = C...
ABSTRACT Some methods of finding the solutions of Matrix equation AX XB = C were discussed startin...
AbstractRoth's theorem on the solvability of matrix equations of the form AX−YB=C is proved for matr...
AbstractIn this paper, two new matrix iterative methods are presented to solve the matrix equation A...
In a previous article by Aihua Li and Duane Randall, the existence of solutions to certain matrix eq...