Rayleigh quotient iteration

Known as: Rayleigh iteration

Rayleigh quotient iteration is an eigenvalue algorithm which extends the idea of the inverse iteration by using the Rayleigh quotient to obtain…

Papers overview

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2016

In this talk we will discuss Domain-Decomposition (DD) type methods for large Hermitian eigenvalue problems. This class of…

2012

Optimizing correlations between sets of variables is an important task in many areas of applications. There are plenty of…

2009

For the Hermitian inexact Rayleigh quotient iteration (RQI), we present general convergence results, independent of iterative…

2008

Optimizing correlation between sets of variables is an important task in many areas of applications. The stationary points where…

2006

Experimental observations of univariate rootfinding by generalised companion matrix pencils expressed in the Lagrange basis show…

2004

We derive a Grassmann-Rayleigh Quotient Iteration for the computation of the best rank-(R1, R2, R3) approximation of higher-order…

2002

We consider the computation of the smallest eigenvalue and associated eigenvector of a an Hermitian positive definite pencil…

1999

We consider the constrained nonlinear optimization problem where the feasible set is possibly empty, in which case no solution…

1996

A new area-time efficient digit serial division algorithm and its architecture are presented. In existing digit serial algorithms…

1975

Abstract : The Rayleigh Quotient Iteration (RQI) is a method for computing eigenvectors and eigenvalues of a square matrix. The…