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 …

The general method of graph coarsening or graph reduction has been a remarkably useful
and ubiquitous tool in scientific computing and it is now just starting to have a similar impact …

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 …

When simulating a mechanism from science or engineering, or an industrial process, one is
frequently required to construct a mathematical model, and then resolve this model …

This paper presents an efficient implementation of the incomplete LU (ILU) factorization
derived from the Crout version of Gaussian elimination. At step k of the elimination, the k th …

Iterative methods are currently the solvers of choice for large sparse linear systems of
equations. However, it is well known that the key factor for accelerating, or even allowing for …

Abstract Electrical Impedance Tomography (EIT) is a recently developed imaging technique.
Small insensible currents are injected into the body using electrodes. Measured voltages …

The article introduces a cell-centered finite-volume method for the Biot problem in
heterogeneous anisotropic media, characterized with full-tensor properties. We derive the …

A Journey through the History of Numerical Linear Algebra: Back Matter Page 1 Bibliography
[1] A. Abdelfattah, H. Anzt, A. Bouteiller, A. Danalis, JJ Dongarra, M. Gates, A. Haidar, J. Kurzak …

The article introduces a finite-volume method for the poromechanics problem for
heterogeneous anisotropic media. The media are characterized by the full tensors of …