CUED Publications database

A Grassman-Rayleigh quotient iteration for computing invariant subspaces

Absil, P-A and Mahony, R and Sepulchre, R and Van Dooren, P (2000) A Grassman-Rayleigh quotient iteration for computing invariant subspaces. In: UNSPECIFIED pp. 4241-4246..

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Abstract

The classical Rayleigh Quotient Iteration (RQI) computes a 1-dimensional invariant subspace of a symmetric matrix A with cubic convergence. We propose a generalization of the RQI which computes a p-dimensional invariant subspace of A. The geometry of the algorithm on the Grassmann manifold Gr(p,n) is developed to show cubic convergence and to draw connections with recently proposed Newton algorithms on Riemannian manifolds.

Item Type: Conference or Workshop Item (UNSPECIFIED)
Uncontrolled Keywords: Grassmann manifold Invariant subspace Rayleigh quotient iteration
Subjects: UNSPECIFIED
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 07 Mar 2014 11:46
Last Modified: 08 Dec 2014 02:25
DOI: