Condition number related with generalized inverse A(2) T,S and constrained linear systems

Journal of Computational and Applied Mathematics

Volumn 157, Issue 1, 2003, Pages 57-72

  Wei, Yimin ^a   Zhang, Naimin ^a  

^a FUDAN UNIVERSITY   (China)

Author keywords

Condition number; Generalized inverse; Minimum of condition number

Indexed keywords

COMPUTATIONAL METHODS; LINEAR SYSTEMS; PERTURBATION TECHNIQUES;

CONDITION NUMBERS;

INVERSE PROBLEMS;

MATHEMATICAL ANALYSIS;

EID: 0041695256     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(03)00375-3     Document Type: Article

References (12)

1. Ben-Israel A. Greville T.N.E. Generalized Inverse: Theory and Applications 1974 Wiley New York
2. Chen G.L. Liu G.M. Xue Y.G. Perturbation theory for the generalized Bott-Duffin inverse and its applications Appl. Math. Comput. 129 2002 145-155
3. Higham D.J. Condition numbers and their condition numbers Linear Algebra Appl. 214 1995 193-213
4. (2) and its applications Linear Algebra Appl. 280 1998 87-96
5. (2) Appl. Math. Comput. 142 2003 189-194
6. Wei Y.M. Wang D.K. Condition numbers and perturbation of the weighted Moore-Penrose inverse and weighted linear least squares problem Appl. Math. Comput. 145 2003 45-58
7. Wei Y.M. Wang G.L. Wang D.K. Condition number of Drazin inverse and their condition number of singular systems Appl. Math. Comput. 146 2003 287-299
8. (2) and rectangular systems Internat. J. Comput. Math. 77 2001 401-424
9. (2) of rectangular matrix A J. Comput. Appl. Math. 137 2001 317-329
10. (2) Appl. Math. Comput. 135 2003 263-276
11. Wei Y.M. Xu W. Condition number of Bott-Duffin inverse and their condition numbers Appl. Math. Comput. 142 2003 79-97
12. (2) with application to constrained linear system Appl. Math. Comput. 142 2003 63-78