The development of ARPACK began as a research code written in Matlab and then in
Fortran 77 in 1990. Initially, the code was developed to study and verify the properties of the …

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 book, Eigensystems, is the second volume in a projected five-volume series entitled
Matrix Algorithms. The first volume treated basic decompositions. The three following this …

This book, Basic Decompositions, is the first volume in a projected five-volume series
entitled Matrix Algorithms. The other four volumes will treat eigensystems, iterative methods …

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 …

If a matrix or linear operator A is far from normal, its eigenvalues or, more generally, its
spectrum may have little to do with its behavior as measured by quantities such as|| A n|| or …

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 …

Recently the Jacobi--Davidson subspace iteration method has been introduced as a new
powerful technique for solving a variety of eigenproblems. In this paper we will further exploit …

We present a linear method for global camera pose registration from pairwise relative poses
encoded in essential matrices. Our method minimizes an approximate geometric error to …

Over the past decade considerable progress has been made towards the numerical solution
of large-scale eigenvalue problems, particularly for nonsymmetric matrices. Krylov methods …