The explicit solutions and solvability of linear matrix equations (Q1567556)
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scientific article; zbMATH DE number 1462185
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The explicit solutions and solvability of linear matrix equations |
scientific article; zbMATH DE number 1462185 |
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The explicit solutions and solvability of linear matrix equations (English)
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21 June 2000
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Conditions are derived for which the linear matrix equation \(\sum^k_{i=0} A^i XB_i= C\) has an explicit solution over a field \(F\). The Smith normal form of polynomial matrices is discussed. Its general solutions are given if this matrix equation is consistent.
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linear matrix equation
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Smith normal form
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polynomial matrices
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