Computing low?rank approximations of the Fréchet derivative of a matrix function using Krylov subspace methods

Exploiting Structure in Krylov Subspace Methods for the WilsonFermion Matrix

The matrix eigenvalue problem - GR and Krylov subspace methods

Scientific Computing, Volume I Germund Dahlquist and Åke Björck This new book from the authors of the highly successful classic Numerical Methods (Prentice-Hall, 1974) addresses the increasingly important role of numerical methods in science and engineering. While treating traditional and well-developed topics, it also emphasizes concepts and ideas of importance to the design of accurate and ef...

Avoiding Krylov Subspace Methods

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On Krylov Subspace Approximations to Thematrix Exponential

A theoretical overview of Krylov subspace methods

We survey Krylov subspace methods for the solution of linear systems with focus on commonly used and recently developed methods. The approach is theoretical and complementary to the engineering-based first article of this special issue. In particular convergence results are derived from a general theoretical framework, compiled and analyzed. I . B a c k g r o u n d The purpose of this paper is ...