Some contributions of Homotopic Deviation to the theory of matrix pencils

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 5434 LNCS, Issue , 2009, Pages 13-19

  Chatelin, Françoise ^a   Ahmadnasab, Morad ^b,c  

^a UNIVERSITÉ DE TOULOUSE   (France)

^b UNIVERSITY OF KURDISTAN   (Iran)

^c CERFACS   (France)

Author keywords

Cauchy; Communication matrix; Frontier point; Homotopic deviation; Induction matrix; Matrix pencil; Observation point; Weierstrass

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; NUMERICAL ANALYSIS;

CAUCHY; COMMUNICATION MATRIXES; FRONTIER POINT; HOMOTOPIC; MATRIX PENCIL; OBSERVATION POINT; WEIERSTRASS;

MATRIX ALGEBRA;

EID: 67650477355     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-00464-3_2     Document Type: Conference Paper

References (9)

1. Ahmadnasab, M.: Homotopic Deviation theory: A qualitative study. PhD thesis, Université Toulouse 1 and CERFACS, Toulouse, France, October 24 (2007)
2. Ahmadnasab, M.: An order reduction method for computing the finite eigenvalues of regular matrix pencils. Technical Report TR/PA/08/23, CERFACS, Toulouse, France (2008)
3. Ahmadnasab, M., Chaitin-Chatelin, F.: Parameter analysis of the structure of matrix pencils by Homotopic Deviation theory. In: Proceedings ICIAM 2007. Wiley, Chichester (2007) (to appear)
4. Ahmadnasab, M., Chaitin-Chatelin, F.: Matrix pencils under Homotopic Deviation theory. Technical Report TR/PA/07/108, CERFACS, Toulouse, France (2007)
5. Chaitin-Chatelin, F., van Gijzen, M.B.: Analysis of parameterized quadratic eigenvalue problems in computational acoustics with homotopic deviation theory. Numerical Linear Algebra with Applications 13, 487-512 (2006)
6. Chaitin-Chatelin, F.: Computing beyond classical logic: SVD computation in nonassociative Dickson algebras. In: Calude, C. (ed.) Randomness and Complexity, pp. 13-23. World Scientific, Singapore
7. Chatelin., F.: Eigenvalues of matrices. Wiley, Chichester (1993)
8. Chatelin, F.: Homotopic Deviation in Linear algebra. In: Qualitative Computing: a computational journey into nonlinearity, vol. 7. World Scientific, Singapore (to appear, 2009)
9. Gantmacher, F.: The theory of matrices. Chelsea Publishing Company, New York (1960)