Positive definite solutions of some matrix equations (Q952033)
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scientific article; zbMATH DE number 5362051
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Positive definite solutions of some matrix equations |
scientific article; zbMATH DE number 5362051 |
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Positive definite solutions of some matrix equations (English)
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6 November 2008
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The authors investigate some existence questions of positive semi-definite solutions for certain classes of matrix equations known as the generalized Lyapunov equations. The authors use a simple but useful lemma (Lemma 2.1) and properties of Fourier transforms to get sufficient and necessary conditions for certain equations and only sufficient for others.
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matrix equation
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Lyapunov matrix equation
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positive definite matrix
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positive definite solution
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Fourier transform
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