Sensitivity analysis of all eigenvalues of a symmetric matrix

From MaRDI portal
Publication:1347028

DOI10.1007/s002110050109zbMath0816.15016OpenAlexW2016624757MaRDI QIDQ1347028

Dongyi Ye, Jean-Baptiste Hiriart-Urruty

Publication date: 23 July 1995

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002110050109



Related Items

Spectral (isotropic) manifolds and their dimension, Domain derivative of the leading eigenvalue of a model transport operator, The bundle scheme for solving arbitrary eigenvalue optimizations, Generalized derivatives of eigenvalues of a symmetric matrix, A Second-Order Bundle Method Based on -Decomposition Strategy for a Special Class of Eigenvalue Optimizations, Testing the eigenvalue structure of spot and integrated covariance, Solving large-scale semidefinite programs in parallel, Special backtracking proximal bundle method for nonconvex maximum eigenvalue optimization, Remote state estimation problem: towards the data-rate limit along the avenue of the second Lyapunov method, A space decomposition scheme for maximum eigenvalue functions and its applications, The higher-order derivatives of spectral functions, The space decomposition method for the sum of nonlinear convex maximum eigenvalues and its applications, Analyzing the Influence of Agents in Trust Networks: Applying Nonsmooth Eigensensitivity Theory to a Graph Centrality Problem, A semismooth Newton based dual proximal point algorithm for maximum eigenvalue problem, A smallest singular value method for nonlinear eigenvalue problems, \( L^2 \)-gradient flows of spectral functionals, First order sensitivity analysis of symplectic eigenvalues, On perturbation of operators and Rayleigh-Schrödinger coefficients, Convex analysis of the eigenvalues of a 3D second-order symmetric tensor, A fresh variational-analysis look at the positive semidefinite matrices world, The space decomposition theory for a class of eigenvalue optimizations, A new derivation of a formula by Kato, Verified error bounds for real eigenvalues of real symmetric and persymmetric matrices, First order optimality conditions for mathematical programs with semidefinite cone complementarity constraints, Hyperbolic Polynomials and Convex Analysis, Inference about long run canonical correlations, Second-order conditions for existence of augmented Lagrange multipliers for eigenvalue composite optimization problems, Derivatives of compound matrix valued functions, Derivatives of orbital function and an extension of Berezin-Gel'fand's theorem, \(\mathcal{UV}\)-theory of a class of semidefinite programming and its applications, A fast space-decomposition scheme for nonconvex eigenvalue optimization, An inexact spectral bundle method for convex quadratic semidefinite programming, Asymptotic expansions of the ordered spectrum of symmetric matrices, On the isoperimetric spectrum of graphs and its approximations, Computation of multiple bifurcation point, On max-\(k\)-sums, Quadratic expansions of spectral functions, Second-order directional derivatives of all eigenvalues of a symmetric matrix, Nearest southeast submatrix that makes multiple a prescribed eigenvalue., Feature selection in SVM via polyhedral \(k\)-norm, A Decomposition Algorithm for the Sums of the Largest Eigenvalues, Orthogonal Trace-Sum Maximization: Applications, Local Algorithms, and Global Optimality, Finite and continuous perturbations of matrix eigenvalues, Nearest common root of a set of polynomials: a structured singular value approach, First- and second-order epi-differentiability in eigenvalue optimization, On norm sub-additivity and super-additivity inequalities for concave and convex functions