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Merit functions for semi-definite complemetarity problems

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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/3-540-61310-2_13openalex-snapshot
Cone-LP's and semidefinite programs: Geometry and a simplex-type method
inferredcites →https://doi.org/10.1007/978-1-4615-2025-2_6openalex-snapshot
Complementarity Problems
inferredcites →https://doi.org/10.1007/978-1-4757-6075-0_2openalex-snapshot
Mathematical Programming
inferredcites →https://doi.org/10.1007/978-1-4899-0289-4_11openalex-snapshot
Merit Functions for Variational Inequality and Complementarity Problems
inferredcites →https://doi.org/10.1007/978-1-4899-0289-4_9openalex-snapshot
Inexact Newton Methods for Semismooth Equations with Applications to Variational Inequality Problems
inferredcites →https://doi.org/10.1007/978-1-4899-1358-6_7openalex-snapshot
Testing a New Class of Algorithms for Nonlinear Complementarity Problems
inferredcites →https://doi.org/10.1007/bf00121662openalex-snapshot
Unconstrained minimization approaches to nonlinear complementarity problems
inferredcites →https://doi.org/10.1007/bf00249052openalex-snapshot
A class of smoothing functions for nonlinear and mixed complementarity problems
inferredcites →https://doi.org/10.1007/bf00249054openalex-snapshot
On the resolution of monotone complementarity problems
inferredcites →https://doi.org/10.1007/bf01580617openalex-snapshot
NE/SQP: A robust algorithm for the nonlinear complementarity problem
inferredcites →https://doi.org/10.1007/bf01582210openalex-snapshot
Error bounds for analytic systems and their applications
inferredcites →https://doi.org/10.1007/bf01582565openalex-snapshot
A class of gap functions for variational inequalities
inferredcites →https://doi.org/10.1007/bf01585171openalex-snapshot
Nonlinear complementarity as unconstrained and constrained minimization
inferredcites →https://doi.org/10.1007/bf01585558openalex-snapshot
A primal—dual potential reduction method for problems involving matrix inequalities
inferredcites →https://doi.org/10.1007/bf01585696openalex-snapshot
Equivalent differentiable optimization problems and descent methods for asymmetric variational inequality problems
inferredcites →https://doi.org/10.1007/bf02096261openalex-snapshot
Error bounds and convergence analysis of feasible descent methods: a general approach
inferredcites →https://doi.org/10.1007/bf02189797openalex-snapshot
Equivalence of the generalized complementarity problem to differentiable unconstrained minimization
inferredcites →https://doi.org/10.1007/bf02191990openalex-snapshot
On stationary points of the implicit Lagrangian for nonlinear complementarity problems
inferredcites →https://doi.org/10.1007/bf02192026openalex-snapshot
Nonlinear complementarity as unconstrained optimization
inferredcites →https://doi.org/10.1007/bf02192160openalex-snapshot
A Newton-type method for positive-semidefinite linear complementarity problems
inferredcites →https://doi.org/10.1007/bf02192639openalex-snapshot
Growth behavior of a class of merit functions for the nonlinear complementarity problem
inferredcites →https://doi.org/10.1007/bf02592192openalex-snapshot
A semismooth equation approach to the solution of nonlinear complementarity problems
inferredcites →https://doi.org/10.1007/bf02614360openalex-snapshot
Equivalence of variational inequality problems to unconstrained minimization
inferredcites →https://doi.org/10.1007/bf02614395openalex-snapshot
A nonsmooth inexact Newton method for the solution of large-scale nonlinear complementarity problems
inferredcites →https://doi.org/10.1007/bf02614396openalex-snapshot
Solution of monotone complementarity problems with locally Lipschitzian functions
inferredcites →https://doi.org/10.1007/springerreference_5340openalex-snapshot
Complementarity problems
inferredcites →https://doi.org/10.1016/0024-3795(90)90058-kopenalex-snapshot
Error bounds for the linear complementarity problem with a P-matrix
inferredcites →https://doi.org/10.1016/0024-3795(95)00707-5openalex-snapshot
On a global projection-type error bound for the linear complementarity problem
inferredcites →https://doi.org/10.1016/0167-6377(82)90049-9openalex-snapshot
The gap function of a convex program
inferredcites →https://doi.org/10.1016/0167-6377(92)90080-mopenalex-snapshot
On a global error bound for a class of monotone affine variational inequality problems
inferredcites →https://doi.org/10.1016/0898-1221(95)90187-6openalex-snapshot
Variational inequalities and network equilibrium problems
inferredcites →https://doi.org/10.1016/b978-0-12-775850-3.50013-3openalex-snapshot
Projections on Convex Sets in Hilbert Space and Spectral Theory: Part I. Projections on Convex Sets: Part II. Spectral Theory
inferredcites →https://doi.org/10.1016/b978-1-898563-21-1.50008-0openalex-snapshot
Mathematical Programming
inferredcites →https://doi.org/10.1017/cbo9780511810817openalex-snapshot
Matrix Analysis
inferredcites →https://doi.org/10.1023/a:1022607213765openalex-snapshot
Convexity of the Implicit Lagrangian
inferredcites →https://doi.org/10.1023/a:1022660704427openalex-snapshot
Unconstrained Optimization Reformulations of Variational Inequality Problems
inferredcites →https://doi.org/10.1023/a:1022688013571openalex-snapshot
On Unconstrained and Constrained Stationary Points of the Implicit Lagrangian
inferredcites →https://doi.org/10.1080/01630568908816335openalex-snapshot
Variational principles for variational inequalities
inferredcites →https://doi.org/10.1080/02331939208843795openalex-snapshot
A special newton-type optimization method
inferredcites →https://doi.org/10.1080/10556789408805573openalex-snapshot
Some equation-based methods for the nonlinear complementarity problem
inferredcites →https://doi.org/10.1080/10556789508805608openalex-snapshot
A Class of Netwton-Type methods for equality and ineqality constrained optimization
inferredcites →https://doi.org/10.1080/10556789508805627openalex-snapshot
On the local superlinear convergence of a Newton-type method for LCP under weak conditions
inferredcites →https://doi.org/10.1137/0131009openalex-snapshot
Equivalence of the Complementarity Problem to a System of Nonlinear Equations
inferredcites →https://doi.org/10.1137/0331064openalex-snapshot
An Interior-Point Method for Minimizing the Maximum Eigenvalue of a Linear Combination of Matrices
inferredcites →https://doi.org/10.1137/0805002openalex-snapshot
Interior Point Methods in Semidefinite Programming with Applications to Combinatorial Optimization
inferredcites →https://doi.org/10.1137/0806019openalex-snapshot
Global Convergence Properties of Some Iterative Methods for Linear Complementarity Problems
inferredcites →https://doi.org/10.1137/0806020openalex-snapshot
An Interior-Point Method for Semidefinite Programming
inferredcites →https://doi.org/10.1137/0806024openalex-snapshot
Equivalence of Complementarity Problems to Differentiable Minimization: A Unified Approach
inferredcites →https://doi.org/10.1137/1.9780898719000openalex-snapshot
The Linear Complementarity Problem
inferredcites →https://doi.org/10.1137/1.9781611970777openalex-snapshot
Linear Matrix Inequalities in System and Control Theory
inferredcites →https://doi.org/10.1137/s0363012994268655openalex-snapshot
Modified Projection-Type Methods for Monotone Variational Inequalities
inferredcites →https://doi.org/10.1137/s0363012994276494openalex-snapshot
A New Nonsmooth Equations Approach to Nonlinear Complementarity Problems
inferredcites →https://doi.org/10.1137/s0363012994277645openalex-snapshot
Equivalent Unconstrained Minimization and Global Error Bounds for Variational Inequality Problems
inferredcites →https://doi.org/10.1137/s1052623494269035openalex-snapshot
Interior-Point Methods for the Monotone Semidefinite Linear Complementarity Problem in Symmetric Matrices
inferredcites →https://doi.org/10.1137/s1052623494279110openalex-snapshot
A New Merit Function For Nonlinear Complementarity Problems And A Related Algorithm
inferredcites →https://doi.org/10.1137/s1052623495290209openalex-snapshot
Primal-Dual Interior-Point Methods for Self-Scaled Cones
inferredcites →https://doi.org/10.1137/s1052623495294955openalex-snapshot
A Superlinearly Convergent Primal-Dual Infeasible-Interior-Point Algorithm for Semidefinite Programming
inferredcites →https://doi.org/10.1137/s1052623496304700openalex-snapshot
Primal-Dual Interior-Point Methods for Semidefinite Programming: Convergence Rates, Stability and Numerical Results
inferredcites →https://doi.org/10.1142/2752openalex-snapshot
Recent Advances in Nonsmooth Optimization
inferredcites →https://doi.org/10.1142/9789812812827_0006openalex-snapshot
An NCP–Function and its Use for the Solution of Complementarity Problems
inferredcites →https://doi.org/10.1145/227683.227684openalex-snapshot
Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming
inferredcites →https://doi.org/10.1287/moor.12.3.474openalex-snapshot
A Posteriori Error Bounds for the Linearly-Constrained Variational Inequality Problem
inferredcites →https://doi.org/10.1287/moor.19.4.880openalex-snapshot
New Error Bounds for the Linear Complementarity Problem
inferredcites →https://doi.org/10.1515/9781400873173openalex-snapshot
Convex Analysis

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Complementarity Problems Over Symmetric Cones: A Survey of Recent Developments in Several Aspects
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A New Merit Function and a Descent Method for Semidefinite Complementarity Problems
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General Complementarity Functions
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Two classes of merit functions for the second-order cone complementarity problem
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A Perturbation approach for an inverse quadratic programming problem
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Non-Interior Continuation Method for Solving the Monotone Semidefinite Complementarity Problem
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Non-Interior continuation methods for solving semidefinite complementarity problems
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Analysis of nonsmooth vector-valued functions associated with second-order cones
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Cartesian P-property and Its Applications to the Semidefinite Linear Complementarity Problem
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An unconstrained smooth minimization reformulation of the second-order cone complementarity problem
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A note on the Lipschitz continuity of the gradient of the squared norm of the matrix-valued Fischer-Burmeister function
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The rate of convergence of the augmented Lagrangian method for nonlinear semidefinite programming
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A trust region method for solving semidefinite programs
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Constructions of complementarity functions and merit functions for circular cone complementarity problem
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On merit functions for p-order cone complementarity problem
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Some characterizations for SOC-monotone and SOC-convex functions
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The decompositions with respect to two core non-symmetric cones
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Equivalence of Two Nondegeneracy Conditions for Semidefinite Programs
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Conditions for Error Bounds and Bounded Level Sets of Some Merit Functions for the Second-Order Cone Complementarity Problem
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Coercivity and Strong Semismoothness of the Penalized Fischer-Burmeister Function for the Symmetric Cone Complementarity Problem
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Differential Properties of the Symmetric Matrix-Valued Fischer-Burmeister Function
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A New Approximation of the Matrix Rank Function and Its Application to Matrix Rank Minimization
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Nonsingularity of FB system and constraint nondegeneracy in semidefinite programming
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Convergence analysis on matrix splitting iteration algorithm for semidefinite linear complementarity problems
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The same growth of FB and NR symmetric cone complementarity functions
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Inexact non-interior continuation method for monotone semidefinite complementarity problems
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A sufficient condition that has no exceptional family of elements for SDCP
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Lipschitz continuity of the gradient of a one-parametric class of SOC merit functions
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Three classes of merit functions for the complementarity problem over a closed convex cone
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SOME PROPERTIES OF A CLASS OF MERIT FUNCTIONS FOR SYMMETRIC CONE COMPLEMENTARITY PROBLEMS
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VECTOR-VALUED IMPLICIT LAGRANGIAN FOR SYMMETRIC CONE COMPLEMENTARITY PROBLEMS
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Lipschitz Continuity of the Solution Mapping of Symmetric ConeComplementarity Problems
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A Continuous Trust-Region-Type Method for Solving Nonlinear Semidefinite Complementarity Problem
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THE PROJECTION NEURAL NETWORK METHOD AND THE EULER METHOD FOR SOLVING THE SDLCP
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Smooth Newton Method Based on a New NCP Function for Solving Variational Inequality Problems
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The Strong Second-Order Sufficient Condition and Constraint Nondegeneracy in Nonlinear Semidefinite Programming and Their Implications
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Semismooth Homeomorphisms and Strong Stability of Semidefinite and Lorentz Complementarity Problems
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MERIT FUNCTIONS FOR MATRIX CONE COMPLEMENTARITY PROBLEMS
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On methods for solving nonlinear semidefinite optimization problems
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Some Properties of Solution to Semidefinite Complementarity Problem
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A Modified Newton Method Based on the Metric Projector for Solving SOCCVI Problem
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