A note on the Lipschitz continuity of the gradient of the squared norm of the matrix-valued Fischer-Burmeister function
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Publication:2492709
DOI10.1007/s10107-005-0697-xzbMath1111.90112OpenAlexW1971929307WikidataQ58028378 ScholiaQ58028378MaRDI QIDQ2492709
Chee-Khian Sim, Jie Sun, Daniel Ralph
Publication date: 14 June 2006
Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10107-005-0697-x
Methods of quasi-Newton type (90C53) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)
Related Items (6)
Differential properties of the symmetric matrix-valued Fischer-Burmeister function ⋮ The \(SC^1\) property of the squared norm of the SOC Fischer-Burmeister function ⋮ On the generalized Fischer-Burmeister merit function for the second-order cone complementarity problem ⋮ Lipschitz continuity of the gradient of a one-parametric class of SOC merit functions ⋮ A one-parametric class of merit functions for the symmetric cone complementarity problem ⋮ An unconstrained smooth minimization reformulation of the second-order cone complementarity problem
Cites Work
- Merit functions for semi-definite complementarity problems
- Strong semismoothness of the Fischer-Burmeister SDC and SOC complementarity functions
- An unconstrained smooth minimization reformulation of the second-order cone complementarity problem
- Flexible complementarity solvers for large-scale applications
- A Squared Smoothing Newton Method for Nonsmooth Matrix Equations and Its Applications in Semidefinite Optimization Problems
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