Title of article
A representation of the general common solution to the matrix equations A1XB1 = C1 and A2XB2 = C2 with applications
Author/Authors
A. Navarra، نويسنده , , P. L. Odell، نويسنده , , D. M. Young، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2001
Pages
7
From page
929
To page
935
Abstract
We give new necessary and sufficient conditions for the existence of a common solution to the pair of linear matrix equations A1XB1 = C1 and A2XB2 = C2 and derive a new representation of the general common solution to these two equations. We apply this result to determine new necessary and sufficient conditions for the existence of an Hermitian solution and a representation of the general Hermitian solution to the matrix equation AXB = C.
Keywords
Invec operator , Conditional inverse , Simultaneous matrix equations , Vec operator , Kronecker matrix product
Journal title
Computers and Mathematics with Applications
Serial Year
2001
Journal title
Computers and Mathematics with Applications
Record number
918877
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