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 …

'Network'is a heavily overloaded term, so that 'network analysis' means different things to
different people. Specific forms of network analysis are used in the study of diverse …

Sorensen's implicitly restarted Arnoldi algorithm is one of the most successful and flexible
methods for finding a few eigenpairs of a large matrix. However, the need to preserve the …

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 …

We show how spectral submanifold theory can be used to construct reduced-order models
for harmonically excited mechanical systems with internal resonances. Efficient calculations …

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

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

The Arnoldi algorithm, or iteration, is a computationally attractive technique for computing a
few eigenvalues and associated invariant subspace of large, often sparse, matrices. The …

We fit the data for the binary lens microlensing event MACHO 98-SMC-1 from five different
microlensing collaborations and find two distinct solutions characterized by binary …