A criterion for separating a real factor from a matrix polynomial (Q1097933)
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scientific article; zbMATH DE number 4035989
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A criterion for separating a real factor from a matrix polynomial |
scientific article; zbMATH DE number 4035989 |
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A criterion for separating a real factor from a matrix polynomial (English)
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1987
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The following theorem is proved: The \(n\times n\)-matrix equation \(X^ mA_ 0+X^{m-1}A_ 1+...+A_ m=0\) has a real matrix solution X iff there exists a decomposition \(A(x)=(Ex-B)D(x),\) where B is a complex matrix such that the Smith matrix of Ex-B is real.
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matrix polynomial
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algebraic matrix equations
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0.8939126
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0.8750042
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0.87441015
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0.8732191
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