For any given n-by-n matrix An, T. Chan's circulant preconditioner cF (An) proposed by T.
Chan [T. Chan, An optimal circulant preconditioner for Toeplitz systems, SIAM J. Sci. Statist …

The efficiency of the recently developed algorithms for sparse Radon transforms depends
heavily on the efficiency of the inverse transformation and its adjoint. In this paper, we …

We consider the solution of delay differential equations by using boundary value methods
(BVMs). These methods require the solution of some nonsymmetric, large, and sparse linear …

We present a modified T. Chan's preconditioner for solving Toeplitz linear systems by the
preconditioned conjugate gradient (PCG) method in this paper. Especially, we give some …

Some stability properties of T. Chan’s preconditioner Page 1 Linear Algebra and its
Applications 395 (2005) 361–365 www.elsevier.com/locate/laa Some stability properties of T …

Block preconditioner with circulant blocks (BPCB) has been used for solving linear systems
with block Toeplitz structure since 1992 [R. Chan, X. Jin, A family of block preconditioners for …

A matrix is said to be stable if the real parts of all the eigenvalues are negative. In this paper,
for any matrix An, we give some sufficient and necessary conditions for the stability of …

This thesis concerns preconditioning for Toeplitz-related systems. Specifically, we consider
functions of Toeplitz matrices, ie h (T n) xn= bn, where h (z) is an analytic function and T n …