On solvability of the matrix equation AXB = C over a principal ideal domain
Keyword(s):
In this paper we present conditions of solvability of the matrix equation AXB = B over a principal ideal domain. The necessary and sufficient conditions of solvability of equation AXB = B in term of the Smith normal forms and in term of the Hermi-te normal forms of matrices constructed in a certain way by using the coefficients of this equation are proposed. If a solution of this equation exists we propose the method for its construction.
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2008 ◽
Vol 84
(1)
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pp. 63-72
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2010 ◽
pp. 166-174
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2017 ◽
Vol 52
(1)
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pp. 22-26
1993 ◽
Vol 186
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pp. 255-275
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1977 ◽
Vol 16
(3)
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pp. 361-369