Clarke generalized Jacobian of the projection onto the cone of positive semidefinite matrices

DOI10.1007/s11228-005-0005-1zbMath1100.49033OpenAlexW2012743680MaRDI QIDQ2432660

Jérôme Malick, Hristo S. Sendov

Publication date: 25 October 2006

Published in: Set-Valued Analysis (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/inria-00070517v2/file/malick-sendov.pdf

zbMATH Keywords

nonsmooth analysisperturbation theorydifferentiability eigenvalue optimizationprojection spectral function

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Set-valued functions (26E25) Eigenvalue problems for linear operators (47A75)

Related Items

Clarke generalized Jacobian of the projection onto symmetric cones, Douglas-Rachford splitting method for semidefinite programming, Convexity and differentiability properties of spectral functions and spectral mappings on Euclidean Jordan algebras, The higher-order derivatives of spectral functions, Differentiating Nonsmooth Solutions to Parametric Monotone Inclusion Problems, An inexact projected gradient method with rounding and lifting by nonlinear programming for solving rank-one semidefinite relaxation of polynomial optimization, Differential properties of Euclidean projection onto power cone, A nonsmooth Newton method for the design of state feedback stabilizers under structure constraints, Solution refinement at regular points of conic problems, Projection Methods in Conic Optimization, Complementarity problems with respect to Loewnerian cones

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