The Geometry of Algorithms with Orthogonality Constraints

In this paper we develop new Newton and conjugate gradient algorithms on the Grassmann and Stiefel manifolds. These manifolds represent the constraints that arise in such areas as the symmetric eigenvalue problem, nonlinear eigenvalue problems, electronic structures computations, and signal processi...

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Bibliographic Details

Published in:	SIAM journal on matrix analysis and applications Vol. 20; no. 2; pp. 303 - 353
Main Authors:	Edelman, Alan, Arias, Tomás A., Smith, Steven T.
Format:	Journal Article
Language:	English
Published:	Philadelphia Society for Industrial and Applied Mathematics 1998
Subjects:	Algorithms Applied mathematics Eigenvalues Eigenvectors Geometry Linear algebra Optimization Physics Quadratic programming Signal processing
ISSN:	0895-4798, 1095-7162
Online Access:	Get full text
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