LINEAR MATRIX EQUATIONS FROM AN INVERSE PROBLEM OF VIBRATION THEORY

Authors
HUA D LANCASTER P
Citation
D. Hua et P. Lancaster, LINEAR MATRIX EQUATIONS FROM AN INVERSE PROBLEM OF VIBRATION THEORY, Linear algebra and its applications, 246, 1996, pp. 31-47
Citations number
17
Categorie Soggetti
Mathematics,Mathematics
Journal title
Linear algebra and its applications → ACNP
ISSN journal
00243795
Volume
246
Year of publication
1996
Pages
31 - 47
Database
ISI
SICI code
0024-3795(1996)246:<31:LMEFAI>2.0.ZU;2-I
Abstract
The symmetric, positive semidefinite, and positive definite real solut ions of matrix equations A(T)XA = D and (A(T)XA, XA - YAD) = (D, 0) ar e 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 p roblem of vibration theory.