Total decoupling of general quadratic pencils, Part I: Theory

Journal of Sound and Vibration

Volumn 309, Issue 1-2, 2008, Pages 96-111

  Chu, Moody T ^a   Del Buono, Nicoletta ^b  

^a NORTH CAROLINA STATE UNIVERSITY   (United States)

^b UNIVERSITY OF BARI   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATION THEORY; DEGREES OF FREEDOM (MECHANICS); FACTORIZATION; MATHEMATICAL TRANSFORMATIONS; POLYNOMIALS;

MATRIX POLYNOMIAL FACTORIZATION TACTICS; POSITIVE DEFINITENESS; QUADRATIC PENCILS; REAL MATRICES;

MATRIX ALGEBRA;

EID: 35448964347     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2007.05.058     Document Type: Article

References (9)

1. Tisseur F., and Meerbergen K. The quadratic eigenvalue problem. SIAM Review 43 (2001) 235-286
2. Horn R.A., and Johnson C.R. Matrix Analysis (1991), Cambridge University Press, New York
3. Uhlig F. A canonical form for a pair of real symmetric matrices that generate a nonsingular pencil. Linear Algebra and its Applications 14 (1979) 189-209
4. Garvey S.D., Friswell M.I., and Prells U. Co-ordinate transformations for second order systems, I: general transformations. Journal of Sound and Vibration 258 (2002) 885-909
5. Garvey S.D., Friswell M.I., and Prells U. Co-ordinate transformations for second order systems, II: elementary structure-preserving transformations. Journal of Sound and Vibration 258 (2002) 911-930
6. Gohberg I., Lancaster P., and Rodman L. Matrix Polynomials (1982), Computer Science and Applied Mathematics, Academic Press, New York
7. M.T. Chu, N. Del Buono, Total decoupling of general quadratic pencils, part II: structural preserving isospectral flows, Journal of Sound and Vibration, in press, doi:10.1016/j.jsv.2007.05.052.
8. Garvey S.D., Prells U., Friswell M., and Chen Z. General isospectral flows for linear dynamic systems. Linear Algebra and its Applications 385 (2004) 335-368
9. Gohberg I., Lancaster P., and Rodman L. Spectral analysis of selfadjoint matrix polynomials. Annals of Mathematics 112 (1980) 33-71