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 …

A deflation procedure is introduced that is designed to improve the convergence of an
implicitly restarted Arnoldi iteration for computing a few eigenvalues of a large matrix. As the …

Eigenvalues and eigenfunctions of linear operators are important to many areas of applied
mathematics. The ability to approximate these quantities numerically is becoming …

Some might say that the eigenproblem is one of the examples people discovered by looking
at the sky and wondering. Even though it was formulated to explain the movement of the …

In this paper, proper generalized decomposition (PGD) is utilized to reduce the
computational burden of evaluating multigroup neutron diffusion eigenvalue problems. PGD …

This paper is concerned with the precise localization of Hopf bifurcations in various fluid flow
problems. This is when a stationary solution loses stability and often becomes periodic in …

This goal of this paper is to present an elegant relationshipbetween an implicitly restarted
Arnoldi method (IRAM) and nonstationary (subspace) simultaneous iteration. This …

This paper presents improved and new methodologies for the calculation of critical
eigenvalues in the small-signal stability analysis of large electric power systems. They …