The traditional metric for the efficiency of a numerical algorithm has been the number of
arithmetic operations it performs. Technological trends have long been reducing the time to …

Computational simulation of scientific phenomena and engineering problems often depends
on solving linear systems with a large number of unknowns. This book gives insight into the …

Numerical Linear Algebra and Applications, 2nd Edition: Back Matter Page 1 page 501 i i i i
Bibliography E. Anderson, Z. Bai, C. Bischof, S. Blackford, J. Demmel, J. Dongarra, J. Du …

In this review paper, we consider some important developments and trends in algorithm
design for the solution of linear systems concentrating on aspects that involve the …

The purpose of this book is to unify and document in one place many of the techniques and
much of the current understanding about solving systems of linear equations on vector and …

The eigenvalues and eigenvectors of tridiagonal Toeplitz matrices are known in closed form.
This property is in the first part of the paper used to investigate the sensitivity of the spectrum …

This book deals with numerical methods for solving large sparse linear systems of
equations, particularly those arising from the discretization of partial differential equations. It …

Page 1 HANDBOOK of NUMERICAL ANALYSIS PG CIARLET and JL LIONS • Editors Volume
VIII Solution of Equations in R" (Part 4) Techniques of Scientific Computing (Part 4) Numerical …

Abstract Recently Eirola and Nevanlinna have proposed an iterative solution method for
unsymmetric linear systems, in which the preconditioner is updated from step to step …

Scalability of Krylov subspace methods suffers from costly global synchronization steps that
arise in dot-products and norm calculations on parallel machines. In this work, a modified …