Many advances in the development of Krylov subspace methods for the iterative solution of
linear systems during the last decade and a half are reviewed. These new developments …

What's in a name? To paraphrase Shakespeare's Juliet, that which-ilie Haynsworth called
the Schur complement, by any other name would be just as beautiful. Nevertheless, her …

Analysis and computation, the most important and indispensable methods for processing
matrices, are closely related but two significantly different areas. The former focuses more on …

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 …

Solving systems of algebraic linear equations is among the most frequent problems in
scientific computing. It appears in many areas like physics, engineering, chemistry, biology …

This book describes, in a basic way, the most useful and effective iterative solvers and
appropriate preconditioning techniques for some of the most important classes of large and …

An important problem that arises in different areas of science and engineering is of
computing limits of sequences of vectors {xm}, where xm∊ ℂ N, the dimension N being very …

Approximations of matrix-valued functions of the form W^Tf(A)W, where A∈\mathbbR^m*m
is symmetric, W∈\mathbbR^m*k, with m large and k≪m, has orthonormal columns, and f is …

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 …

Krylov subspace methods and their variants are presently the favorite iterative methods for
solving a system of linear equations. Although it is a purely linear algebra problem, it can be …