Page 1 NUMERICAL MATHEMATICS AND SCIENTIFIC COMPUTATION Iterative Methods
for Toeplitz Systems MICHAEL K. NG OXFORD SCIENCE PUBLICATIONS Page 2 Page 3 …

This book describes, in a basic way, the most useful and effective iterative solvers and
appropriate preconditioning techniques for some of the most important classes of large and …

In the last decades several matrix algebra optimal and superlinear preconditioners (those
assuring a strong clustering at the unity) have been proposed for the solution of polynomially …

Preconditioning for Toeplitz systems has been an active research area over the past few
decades. Along this line of research, circulant preconditioners have been recently proposed …

The paper is devoted to exact and asymptotic formulas for the determinants of Toeplitz
matrices with perturbations by blocks of fixed size in the four corners. If the norms of the …

In the last two decades a lot of matrix algebra optinal and super-linear preconditioners
(those assuring a strong clustering at the unity) have been proposed for the solution of …

In this paper, we consider solving the BTTB system \calT_m,nfx=b by the preconditioned
conjugate gradient (PCG) method, where \calT_m,nf denotes the m× m block Toeplitz matrix …

In this paper, we study factorized banded inverse preconditioners for matrices with Toeplitz
structure. We show that if a Toeplitz matrix T has certain off-diagonal decay property, then …

In this paper we study n× n real, non-symmetric, ill conditioned Toeplitz systems of the form T
n (f) x= b. The corresponding generating function is a complex valued one of the form f= f 1+ …

The paper studies fast and efficient solution algorithms for n× n symmetric ill conditioned
Toeplitz systems Tn (f) x= b where the generating function f is known a priori, real valued …