论文信息 - Condition Numbers for Structured Least Squares Problems

Condition Numbers for Structured Least Squares Problems

This paper studies the normwise perturbation theory for structured least squares problems. The structures under investigation are symmetric, persymmetric, skewsymmetric, Toeplitz and Hankel. We present the condition numbers for structured least squares.

[1] Siegfried M. Rump,et al. Structured Perturbations Part I: Normwise Distances , 2003, SIAM J. Matrix Anal. Appl..

[2] Mei Han An,et al. accuracy and stability of numerical algorithms , 1991 .

[3] Yimin Wei,et al. Condition numbers and perturbation of the weighted Moore-Penrose inverse and weighted linear least squares problem , 2003, Appl. Math. Comput..

[4] Siegfried M. Rump,et al. Structured Perturbations Part II: Componentwise Distances , 2003, SIAM J. Matrix Anal. Appl..

[5] Nicholas J. Higham,et al. INVERSE PROBLEMS NEWSLETTER , 1991 .

[6] Gene H. Golub,et al. Matrix computations (3rd ed.) , 1996 .

[7] Siegfried M. Rump,et al. Ill-Conditionedness Need not be Componentwise Near to Ill-Posedness for Least Squares Problems , 1999 .

[8] Adi Ben-Israel,et al. On Error Bounds for Generalized Inverses , 1966 .

[9] Adi Ben-Israel,et al. Generalized inverses: theory and applications , 1974 .

[10] Desmond J. Higham,et al. Condition numbers and their condition numbers , 1995 .

[11] Hebing Wu,et al. Expression for the perturbation of the weighted Moore-Penrose inverse☆ , 2000 .