On optimizing the sum of the Rayleigh quotient and the generalized Rayleigh quotient on the unit sphere
type: Item
instance of: scholarly article
title: On optimizing the sum of the Rayleigh quotient and the generalized Rayleigh quotient on the unit sphere
zbMATH Open document ID: 1285.90042
author: Lei-Hong Zhang
published in: Computational Optimization and Applications
publication date: 2013-02-25T00:00:00Z
Mathematics Subject Classification ID: 90C26
zbMATH DE Number: 6138707
zbMATH Keywords: Rayleigh quotient
zbMATH Keywords: generalized Rayleigh quotient
zbMATH Keywords: nonlinear eigenvalue problem
zbMATH Keywords: trust-region method
zbMATH Keywords: linear discriminant analysis
describes a project that uses: PRMLT
describes a project that uses: ARPACK
describes a project that uses: eigs
MaRDI profile type: Publication
full work available at URL: s10589-012-9479-6
OpenAlex ID: W2092679871
cites work: Manifolds, tensor analysis, and applications.
cites work: Accelerated Line-search and Trust-region Methods
cites work: A truncated-CG style method for symmetric generalized eigenvalue problems
cites work: Trust-region methods on Riemannian manifolds
cites work: Q5433140
cites work: Newton's method on Riemannian manifolds and a geometric model for the human spine
cites work: Q5483032
cites work: Q4503250
cites work: The Projected Gradient Method for Least Squares Matrix Approximations with Spectral Constraints
cites work: Trust Region Methods
cites work: An optimal transformation for discriminant and principal component analysis
cites work: The Geometry of Algorithms with Orthogonality Constraints
cites work: Variable Selection via Nonconcave Penalized Likelihood and its Oracle Properties
cites work: An Optimal Set of Discriminant Vectors
cites work: Q3998716
cites work: Continuous methods for symmetric generalized eigenvalue problems
cites work: Continuous methods for extreme and interior eigenvalue problems
cites work: Q5689624
cites work: Optimization and dynamical systems
cites work: Structure Preserving Dimension Reduction for Clustered Text Data Based on the Generalized Singular Value Decomposition
cites work: Variable selection using MM algorithms
cites work: Q4841246
cites work: Deflation Techniques for an Implicitly Restarted Arnoldi Iteration
cites work: ARPACK Users' Guide
cites work: On sparse linear discriminant analysis algorithm for high-dimensional data classification.
cites work: Q5491447
cites work: The Rayleigh Quotient Iteration and Some Generalizations for Nonnormal Matrices
cites work: Q4348515
cites work: The Conjugate Gradient Method and Trust Regions in Large Scale Optimization
cites work: Q3914337
cites work: Fast Algorithms for the Generalized Foley–Sammon Discriminant Analysis
DOI: 10.1007/S10589-012-9479-6
description: scientific article; zbMATH DE number 6138707