Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Second-order directional derivatives of all eigenvalues of a symmetric matrix - MaRDI portal

Second-order directional derivatives of all eigenvalues of a symmetric matrix

From MaRDI portal
Publication:5958904

DOI10.1016/S0362-546X(00)00165-6zbMath0993.15007MaRDI QIDQ5958904

Mounir Torki

Publication date: 20 March 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)




Related Items

Variational analysis of the Ky Fan \(k\)-normThe bundle scheme for solving arbitrary eigenvalue optimizationsAnalysis of Symmetric Matrix Valued FunctionsGeneralized derivatives of eigenvalues of a symmetric matrixCertifying the global optimality of quartic minimization over the sphereOn the second-order directional derivatives of singular values of matrices and symmetric matrix-valued functionsThe space decomposition method for the sum of nonlinear convex maximum eigenvalues and its applicationsFirst order sensitivity analysis of symplectic eigenvaluesOn perturbation of operators and Rayleigh-Schrödinger coefficientsDifferential properties of the symmetric matrix-valued Fischer-Burmeister functionTwice Epi-Differentiability of Extended-Real-Valued Functions with Applications in Composite OptimizationSecond-order conditions for existence of augmented Lagrange multipliers for eigenvalue composite optimization problemsAsymptotic expansions of the ordered spectrum of symmetric matricesQuadratic expansions of spectral functionsSecond-order directional derivatives of all eigenvalues of a symmetric matrixNearest southeast submatrix that makes multiple a prescribed eigenvalue.Spectral Operators of Matrices: Semismoothness and Characterizations of the Generalized JacobianOn the Analysis of the Discretized Kohn--Sham Density Functional TheoryNonsmooth analysis of singular values. II: ApplicationsFirst- and second-order epi-differentiability in eigenvalue optimizationSpectral bundle methods for non-convex maximum eigenvalue functions: first-order methodsSecond-order directional derivatives of spectral functions



Cites Work