Linear matrix equations from an inverse problem of vibration theory

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Department of Mathematics, Nanjing Univ. Aero. and Astronaut., Nanjing 210016, China ^{[1
]}

不详 ^{[2
]}

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Linear Algebra Its Appl | / 31-47期

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摘要：

The symmetric, positive semidefinite, and positive definite real solutions of matrix equations AT XA = D and (AT XA, XA-Y AD) = (D, 0) are considered. Necessary and sufficient conditions for the existence of such solutions and their general forms are derived using the singular value decomposition. The theory is motivated and illustrated with a problem of vibration theory.

引用

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[2] Linear matrix equations from an inverse problem of vibration theory
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