Maximization of the sum of the trace ratio on the Stiefel manifold. I: Theory

From MaRDI portal
Publication:2018891

DOI10.1007/s11425-014-4824-0zbMath1341.90128OpenAlexW2261652123MaRDI QIDQ2018891

Lei-Hong Zhang, Ren-Cang Li

Publication date: 26 March 2015

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-014-4824-0



Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).


Related Items (17)

A self-consistent-field iteration for MAXBET with an application to multi-view feature extractionOptimization on matrix manifold based on gradient information and its applications in network controlRobust Rayleigh Quotient Minimization and Nonlinear Eigenvalue ProblemsNonconvex and nonsmooth optimization with generalized orthogonality constraints: an approximate augmented Lagrangian methodMaximization of the sum of the trace ratio on the Stiefel manifold. II: computationSampling Algebraic Varieties for Sum of Squares ProgramsVariational Characterization of Monotone Nonlinear Eigenvector Problems and Geometry of Self-Consistent Field IterationA Riemannian derivative-free Polak-Ribiére-Polyak method for tangent vector fieldOrthogonal canonical correlation analysis and applicationsA Riemannian conjugate gradient method for optimization on the Stiefel manifoldOn an eigenvector-dependent nonlinear eigenvalue problem from the perspective of relative perturbation theoryPerturbation analysis of an eigenvector-dependent nonlinear eigenvalue problem with applicationsOn the Analysis of the Discretized Kohn--Sham Density Functional TheoryAn Eigenvalue-Based Method for the Unbalanced Procrustes ProblemOn generalizing trace minimization principlesMaximizing sum of coupled traces with applicationsSharp Estimation of Convergence Rate for Self-Consistent Field Iteration to Solve Eigenvector-Dependent Nonlinear Eigenvalue Problems



Cites Work


This page was built for publication: Maximization of the sum of the trace ratio on the Stiefel manifold. I: Theory