This article surveys preconditioning techniques for the iterative solution of large linear
systems, with a focus on algebraic methods suitable for general sparse matrices. Covered …

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 …

Excerpt More than 25 years have passed since the first edition of this book was published in
1996. Least squares and least-norm problems have become more significant with every …

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 …

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 …

In der angewandten Statistik können Regressionsmodelle mit hochdimensionalen
Koeffizienten auftreten, die sich nicht mit gewöhnlichen Computersystemen schätzen …

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 FEniCS Project set out in 2003 with an idea to automate the solution of mathematical
models based on differential equations. Initially, the FEniCS Project consisted of two …

We study integral methods applied to the resolution of the Maxwell equations where the
linear system is solved using an iterative method which requires only matrix–vector …

A number of recently proposed preconditioning techniques based on sparse approximate
inverses are considered. A description of the preconditioners is given, and the results of an …