Abstract
For a given commutative ring with an identity element, we define and study the substitution of a matrix with entries in into a matrix polynomial or rational function over . A Bezout-type remainder theorem and a "partial-substitution rule" are derived and used to obtain a number of results. The tensor map is introduced and used to investigate the solvability of linear matrix equations.
Original language | English |
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Pages (from-to) | 353-370 |
Journal | Linear Algebra and Its Applications |
Volume | 226-228 |
DOIs | |
Publication status | Published - 1995 |