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 …

Among the iterative methods for solving large linear systems with a sparse (or, possibly,
structured) nonsymmetric matrix, those that are based on the Lanczos process feature short …

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 …

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 …

Im Rahmen der Numerik linearer Gleichungssysteme befassen wir uns mit der effizienten
Lösung großer, linearer Systeme, wodurch ein wichtiges Teilgebiet der Numerischen …

In this paper we survey the development of fast iterative solvers aimed at solving 2D/3D
Helmholtz problems. In the first half of the paper, a survey on some recently developed …

We present a new block method for solving large nonsymmetric linear systems of equations
with multiple right-hand sides. We first give the matrix polynomial interpretation of the …

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 …

In the present paper, we describe new Lanczos-based methods for solving nonsymmetric
linear systems of equations with multiple right-hand sides. These methods are based on …