2ND-ORDER SYSTEMS WITH SINGULAR MASS MATRIX AND AN EXTENSION OF GUYANREDUCTION

Authors
BHAT SP BERNSTEIN DS
Citation
Sp. Bhat et Ds. Bernstein, 2ND-ORDER SYSTEMS WITH SINGULAR MASS MATRIX AND AN EXTENSION OF GUYANREDUCTION, SIAM journal on matrix analysis and applications, 17(3), 1996, pp. 649-657
Citations number
9
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on matrix analysis and applications → ACNP
ISSN journal
08954798
Volume
17
Issue
3
Year of publication
1996
Pages
649 - 657
Database
ISI
SICI code
0895-4798(1996)17:3<649:2SWSMM>2.0.ZU;2-M
Abstract
The set of consistent initial conditions for a second-order system wit h singular mass matrix is obtained. In general, such a system can be d ecomposed (i.e., partitioned) into three coupled subsystems of which t he first is algebraic, the second is a regular system of first-order d ifferential equations, and the third is a regular system of second-ord er differential equations. Under specialized conditions, these subsyst ems are decoupled. This result provides an extension of Guyan reductio n to include viscous damping.