Normwise scaling of second order polynomial matrices

SIAM Journal on Matrix Analysis and Applications

Volumn 26, Issue 1, 2005, Pages 252-256

  Fan, Hung Yuan ^a   Lin, Wen Wei ^a   Van Dooren, Paul ^b  

^a NATIONAL TSING HUA UNIVERSITY   (Taiwan)

^b UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

Author keywords

Balancing; Generalized eigenvalues; QZ algorithm

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; ERROR ANALYSIS; POLYNOMIALS; SET THEORY;

GENERALIZED EIGENVALUES; POLYNOMIAL MATRICES; QZ ALGORITHMS; SCALING;

MATRIX ALGEBRA;

EID: 14544299700     PISSN: 08954798     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0895479803434914     Document Type: Article

References (4)

1. D. LEMONNIER AND P. VAN DOOREN, Optimal scaling of companion pencils for the QZ algorithm, Proceedings SIAM Applied Linear Algebra Conference, Williamsburg, July 2003, http://www.siam.org/meetings/la03/proceedings/lemonnid. pdf.
2. F. TISSEUR, Backward error and condition of polynomial eigenvalue problems, Linear Algebra Appl., 309 (2000), pp. 339-361.
3. F. TISSEUR AND K. MEERBERGEN, The quadratic eigenvalue problem, SIAM Rev., 43 (2001), pp. 235-286.
4. P. VAN DOOREN AND P. DEWILDE, The eigenstructure of an arbitrary polynomial matrix: Computational aspects, Linear Algebra Appl., 50 (1983), pp. 545-579.