Zero-degree solutions to the bilateral polynomial matrix equations (Q1086317)
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scientific article; zbMATH DE number 3983387
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Zero-degree solutions to the bilateral polynomial matrix equations |
scientific article; zbMATH DE number 3983387 |
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Zero-degree solutions to the bilateral polynomial matrix equations (English)
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1986
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The paper deals with the bilateral polynomial matrix equation \(AX+YB=C\) and, for given A, B, C, with the following two problems: 1. Find X, Y such that deg X\(=0\) and deg Y\(=0\); 2. Find X, Y such that deg X\(=0\) and deg \(Y\leq \max (\deg A\), deg C) - deg B. Necessary and sufficient conditions for the existence of the solutions are respectively proved. For problem 2 an illustrative example is given.
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zero-degree solutions
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bilateral polynomial matrix equation
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