Inverse product Toeplitz preconditioners for non-Hermitian Toeplitz systems

In this paper, we first propose product Toeplitz preconditioners (in an inverse form) for non-Hermitian Toeplitz matrices generated by functions with zeros. Our inverse product-type preconditioner is of the form TF T−1 L T−1 U where TF, TL, and TU are full, band lower triangular, and band upper triangular Toeplitz matrices, respectively. Our basic idea is to decompose the generating function properly such that all factors TF, TL, and TU of the preconditioner are as well-conditioned as possible. We prove that under certain conditions, the preconditioned matrix has eigenvalues and singular values

• Type: Journal
• Year: 2010
• Where: NA
• Authors: Fu-Rong Lin, Michael K. Ng
• Keywords: Inverse Product-type Preconditioner, NA 2010, Non-hermitian Toeplitz Matrices, Toeplitz Matrices