Solving a class of quadratic matrix equations (Q1642083)
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scientific article; zbMATH DE number 6891857
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solving a class of quadratic matrix equations |
scientific article; zbMATH DE number 6891857 |
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Solving a class of quadratic matrix equations (English)
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20 June 2018
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The authors describe all commuting solutions (i.e., \(AX=XA\)) and, under a full rank condition, all non-commuting solutions, of the matrix equation \(AXA=XAX\), for a given invertible matrix \(A\).
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matrix equation
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idempotent matrix
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spectral perturbation
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