论文信息 - A Stability Property of T. Chan's Preconditioner - 字舞流文

A Stability Property of T. Chan's Preconditioner

In this short note, we prove that T. Chan's preconditioner proposed in {TChan} [SIAM J. Sci. Statist. Comput., 9 (1988), pp. 766--771] is stable for matrices that are normal and stable.

Yimin Wei | Wei Xu | Xiao-Qing Jin | Wei Xu | X. Jin | Yimin Wei

[1] Dragoslav D. Šiljak,et al. Large-Scale Dynamic Systems: Stability and Structure , 1978 .

[2] G. Strang. A proposal for toeplitz matrix calculations , 1986 .

[3] R. Chan,et al. The circulant operator in the banach algebra of matrices , 1991 .

[4] Thomas Huckle,et al. Circulant and Skewcirculant Matrices for Solving Toeplitz Matrix Problems , 1992, SIAM J. Matrix Anal. Appl..

[5] Raymond H. Chan,et al. Conjugate Gradient Methods for Toeplitz Systems , 1996, SIAM Rev..

[6] T. Chan. An Optimal Circulant Preconditioner for Toeplitz Systems , 1988 .

[7] Xiao-Qing Jin,et al. Developments and Applications of Block Toeplitz Iterative Solvers , 2003 .

[8] Biswa Nath Datta. Applied and Computational Control, Signals and Circuits: Recent Developments , 2001 .