In the six years that have passed since the publication of the first edition of this book,
iterative methods for linear systems have made good progress in scientific and engineering …

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 …

Based on extensive research by Henk van der Vorst, this book presents an overview of a
number of Krylov projection methods for the solution of linear systems of equations. Van der …

A parallel preconditioner is presented for the solution of general sparse linear systems of
equations. A sparse approximate inverse is computed explicitly and then applied as a …

This paper sketches the main research developments in the area of iterative methods for
solving linear systems during the 20th century. Although iterative methods for solving linear …

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 …

A method for computing a sparse incomplete factorization of the inverse of a symmetric
positive definite matrix A is developed, and the resulting factorized sparse approximate …

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 …

This paper is concerned with a new approach to preconditioning for large, sparse linear
systems. A procedure for computing an incomplete factorization of the inverse of a …

The standard incomplete LU (ILU) preconditioners often fail for general sparse indefinite
matrices because they give rise to" unstable" factors L and U. In such cases, it may be …