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 …

The Kronecker product has a rich and very pleasing algebra that supports a wide range of
fast, elegant, and practical algorithms. Several trends in scientific computing suggest that …

In many large scale scientific or engineering computations, ranging from computing the
frequency response of a circuit to the earthquake response of a buildingto the energy levels …

This dissertation focuses on efficiently forming reduced-order models for large, linear
dynamic systems. Projections onto unions of Krylov subspaces lead to a class of reduced …

In this paper we propose a new method for the iterative computation of a few of the extremal
eigenvalues of a symmetric matrix and their associated eigenvectors. The method is based …

38 Davidson's method 115 39 Numerical example 116 40 Davidson's method and
preconditioning 119 41 The methods of Jacobi 120 42 The Jacobi-Davidson iteration …

A general scheme for trust-region methods on Riemannian manifolds is proposed and
analyzed. Among the various approaches available to (approximately) solve the trust-region …

A central drawback of primal-dual interior point methods for semidefinite programs is their
lack of ability to exploit problem structure in cost and coefficient matrices. This restricts …

The purpose of this book is to unify and document in one place many of the techniques and
much of the current understanding about solving systems of linear equations on vector and …

Page 1 HANDBOOK of NUMERICAL ANALYSIS PG CIARLET and JL LIONS • Editors Volume
VIII Solution of Equations in R" (Part 4) Techniques of Scientific Computing (Part 4) Numerical …