论文信息 - Linear matrix equations from an inverse problem of vibration theory

Linear matrix equations from an inverse problem of vibration theory

Abstract The symmetric, positive semidefinite, and positive definite real solutions of matrix equations A T XA = D and ( A T 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.

Peter Lancaster | Dai Hua | P. Lancaster | Dai Hua

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