Displacement structure: theory and applications

T Kailath, AH Sayed - SIAM review, 1995 - SIAM
In this survey paper, we describe how strands of work that are important in two different
fields, matrix theory and complex function theory, have come together in some work on fast …

[图书][B] Handbook of linear algebra

L Hogben - 2006 - books.google.com
The Handbook of Linear Algebra provides comprehensive coverage of linear algebra
concepts, applications, and computational software packages in an easy-to-use handbook …

Conjugate gradient methods for Toeplitz systems

RH Chan, MK Ng - SIAM review, 1996 - SIAM
In this expository paper, we survey some of the latest developments in using preconditioned
conjugate gradient methods for solving Toeplitz systems. One of the main results is that the …

Statistical models of fracture

MJ Alava, PKVV Nukala, S Zapperi - Advances in Physics, 2006 - Taylor & Francis
Disorder and long-range interactions are two of the key components that make material
failure an interesting playfield for the application of statistical mechanics. The cornerstone in …

[图书][B] An introduction to iterative Toeplitz solvers

RHF Chan, XQ Jin - 2007 - SIAM
In this book, we introduce current developments and applications in using iterative methods
for solving Toeplitz systems. Toeplitz systems arise in a variety of applications in …

[图书][B] Iterative methods for Toeplitz systems

MK Ng - 2004 - books.google.com
Page 1 NUMERICAL MATHEMATICS AND SCIENTIFIC COMPUTATION Iterative Methods
for Toeplitz Systems MICHAEL K. NG OXFORD SCIENCE PUBLICATIONS Page 2 Page 3 …

A unifying approach to some old and new theorems on distribution and clustering

EE Tyrtyshnikov - Linear algebra and its applications, 1996 - Elsevier
A unifying approach is proposed to studying the distributions of eigenvalues and singular
values of Toeplitz matrices associated with a Fourier series, and multilevel Toeplitz matrices …

[图书][B] Fast reliable algorithms for matrices with structure

T Kailath, AH Sayed - 1999 - SIAM
The design of fast and numerically reliable algorithms for large-scale matrix problems with
structure has become an increasingly important activity, especially in recent years, driven by …

Toeplitz preconditioners for Toeplitz systems with nonnegative generating functions

RH Chan - IMA journal of numerical analysis, 1991 - academic.oup.com
The preconditioned conjugate gradient method is employed to solve Toeplitz systems T nx=
b where the generating functions of the n-by-n Toeplitz matrices Tn are continuous …

Circulant and skewcirculant matrices for solving Toeplitz matrix problems

T Huckle - SIAM Journal on Matrix Analysis and Applications, 1992 - SIAM
In recent papers, numerous authors studied the solutions of symmetric positive definite
Toeplitz systems Tx=b by the conjugate gradient method for different families of circulant …