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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Vydané v:	SIAM journal on matrix analysis and applications Ročník 20; číslo 2; s. 303 - 353
Hlavní autori:	Edelman, Alan, Arias, Tomás A., Smith, Steven T.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Philadelphia Society for Industrial and Applied Mathematics 1998
Predmet:	Algorithms Applied mathematics Eigenvalues Eigenvectors Geometry Linear algebra Optimization Physics Quadratic programming Signal processing
ISSN:	0895-4798, 1095-7162
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