Maximization of the sum of the trace ratio on the Stiefel manifold. I: Theory
type: Item
instance of: scholarly article
title: Maximization of the sum of the trace ratio on the Stiefel manifold. I: Theory
zbMATH Open document ID: 1341.90128
author: Lei-Hong Zhang
author: Ren-Cang Li
published in: Science China. Mathematics
publication date: 2015-03-26T00:00:00Z
Mathematics Subject Classification ID: 90C32
Mathematics Subject Classification ID: 90C46
Mathematics Subject Classification ID: 65F15
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 62H30
Mathematics Subject Classification ID: 15A18
zbMATH DE Number: 6419673
zbMATH Keywords: trace ratio
zbMATH Keywords: Rayleigh quotient
zbMATH Keywords: Stiefel manifold
zbMATH Keywords: nonlinear eigenvalue problem
zbMATH Keywords: optimality condition
zbMATH Keywords: eigenspace
MaRDI profile type: Publication
full work available at URL: s11425-014-4824-0
OpenAlex ID: W2261652123
cites work: Q5433140
cites work: The Geometry of Algorithms with Orthogonality Constraints
cites work: Optimization and dynamical systems
cites work: On sparse linear discriminant analysis algorithm for high-dimensional data classification.
cites work: Q5491447
cites work: Matrix algorithms. Vol. 2: Eigensystems
cites work: A feasible method for optimization with orthogonality constraints
cites work: On optimizing the sum of the Rayleigh quotient and the generalized Rayleigh quotient on the unit sphere
DOI: 10.1007/S11425-014-4824-0
description: scientific article; zbMATH DE number 6419673