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Error bounds in mathematical programming (Q1365060)

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scientific article; zbMATH DE number 1053963

Language	Label	Description	Also known as
English	Error bounds in mathematical programming	scientific article; zbMATH DE number 1053963

Statements

scholarly article

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Error bounds in mathematical programming (English)

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Mathematical Programming. Series A. Series B

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publication date

25 May 1998

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zbMATH Keywords

inequality systems

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penalty function

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error bounds

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MaRDI profile type

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Variational principles for variational inequalities

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Convergence of stationary sequences for variational inequalities with maximal monotone operators

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Convex Functions with Unbounded Level Sets and Applications to Duality Theory

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Global Regularity Theorems

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Well behaved asymptotical convex functions

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On Projection Algorithms for Solving Convex Feasibility Problems

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The distance to a polyhedron

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Projection methods for variational inequalities with application to the traffic assignment problem

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Partial Proximal Minimization Algorithms for Convex Pprogramming

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Semianalytic and subanalytic sets

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Stability and regular points of inequality systems

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Verifiable necessary and sufficient conditions for openness and regularity of set-valued and single-valued maps

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Survey of penalty, exact-penalty and multiplier methods from 1968 to 1993

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On the Identification of Active Constraints II: The Nonconvex Case

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An Exact Penalization Viewpoint of Constrained Optimization

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Weak Sharp Minima in Mathematical Programming

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On the Identification of Active Constraints

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Exposing Constraints

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A Unified Analysis of Hoffman’s Bound via Fenchel Duality

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Minimizing and Stationary Sequences of Constrained Optimization Problems

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Optimization and nonsmooth analysis

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Sensitivity theorems in integer linear programming

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Penalty functions in subanalytic optimization

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Computable Error Bounds For Convex Inequality Systems In Reflexive Banach Spaces

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Computable error bounds for semidefinite programming

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Exact barrier function methods for Lipschitz programs

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Exact Penalty Functions in Constrained Optimization

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Characterizations of Strong Regularity for Variational Inequalities over Polyhedral Convex Sets

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Well-posed optimization problems

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Global and Asymptotic Convergence Rate Estimates for a Class of Projected Gradient Processes

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A Study of Indicators for Identifying Zero Variables in Interior-Point Methods

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On the Accurate Identification of Active Constraints

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Convergence to second-order stationary points in inequality constrained optimization

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Finite termination of the proximal point algorithm

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Minimum principle sufficiency

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Error bounds and strong upper semicontinuity for monotone affine variational inequalities

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Nondegenerate Solutions and Related Concepts in Affine Variational Inequalities

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Engineering and Economic Applications of Complementarity Problems

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A special newton-type optimization method

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On finite termination of an iterative method for linear complementarity problems

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Equivalent differentiable optimization problems and descent methods for asymmetric variational inequality problems

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An inexact NE/SQP method for solving the nonlinear complementarity problem

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On the Continuity of the Solution Map in Linear Complementarity Problems

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An Analysis of Zero Set and Global Error Bound Properties of a Piecewise Affine Function via Its Recession Function

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On the Boundedness and Stability of Solutions to the Affine Variational Inequality Problem

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On the Lipschitzian properties of polyhedral multifunctions

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On the Convergence of the Proximal Point Algorithm for Convex Minimization

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Approximations to Solutions to Systems of Linear Inequalities

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Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications

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The gap function of a convex program

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The Distance to the Intersection of Two Convex Sets Expressed by the Distances to Each of Them

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On the division of distributions by polynomials

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On Dual Convergence and the Rate of Primal Convergence of Bregman’s Convex Programming Method

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Convergence Rate Analysis of Nonquadratic Proximal Methods for Convex and Linear Programming

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Equivalence of the generalized complementarity problem to differentiable unconstrained minimization

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New NCP-functions and their properties

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Asymptotic constraint qualifications and global error bounds for convex inequalities.

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Interior-Point Methods for the Monotone Semidefinite Linear Complementarity Problem in Symmetric Matrices

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Combined Primal–Dual and Penalty Methods for Convex Programming

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The sharp Lipschitz constants for feasible and optimal solutions of a perturbed linear program

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Remarks on Convergence of the Matrix Splitting Algorithm for the Symmetric Linear Complementarity Problem

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Error Bounds for Piecewise Convex Quadratic Programs and Applications

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Abadie's Constraint Qualification, Metric Regularity, and Error Bounds for Differentiable Convex Inequalities

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Global error bounds for convex multifunctions and applications

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Sur le problème de la division

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Extension of Hoffman’s Error Bound to Polynomial Systems

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On a global projection-type error bound for the linear complementarity problem

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New Error Bounds for the Linear Complementarity Problem

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Error bounds for analytic systems and their applications

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Exact penalization and stationarity conditions of mathematical programs with equilibrium constraints

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Superlinear Convergence of a Symmetric Primal-Dual Path Following Algorithm for Semidefinite Programming

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On the Linear Convergence of Descent Methods for Convex Essentially Smooth Minimization

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On the convergence of the coordinate descent method for convex differentiable minimization

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Error Bound and Convergence Analysis of Matrix Splitting Algorithms for the Affine Variational Inequality Problem

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On the convergence of the affine-scaling algorithm

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Error bounds and convergence analysis of feasible descent methods: A general approach

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Error Bound and Reduced-Gradient Projection Algorithms for Convex Minimization over a Polyhedral Set

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On the Convergence Rate of Dual Ascent Methods for Linearly Constrained Convex Minimization

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Perturbation Analysis of a Condition Number for Linear Systems

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On the rate of convergence of a distributed asynchronous routing algorithm

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Asymptotic Convergence Analysis of the Proximal Point Algorithm

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A Condition Number for Differentiable Convex Inequalities

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Error bounds for nondegenerate monotone linear complementarity problems

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Global error bounds for monotone affine variational inequality problems

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Error bounds for inconsistent linear inequalities and programs

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Error bounds for nondifferentiable convex inequalities under a strong Slater constraint qualification

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Exact penalty for mathematical programs with linear complementarity constraints

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New improved error bounds for the linear complementarity problem

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Error bounds for monotone linear complementarity problems

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Lipschitz Continuity of Solutions of Linear Inequalities, Programs and Complementarity Problems

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Nonlinear complementarity as unconstrained and constrained minimization

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Error bounds for the linear complementarity problem with a P-matrix

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Limiting Behavior of the Derivatives of Certain Trajectories Associated with a Monotone Horizontal Linear Complementarity Problem

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Local convergence of interior-point algorithms for degenerate monotone LCP

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Complete Characterization of Openness, Metric Regularity, and Lipschitzian Properties of Multifunctions

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Lipschitzian \(\mathbb{Q}\)-matrices are \(\mathbb{P}\)-matrices

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Inexact Newton methods for the nonlinear complementarity problem

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NE/SQP: A robust algorithm for the nonlinear complementarity problem

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Piecewise Smoothness, Local Invertibility, and Parametric Analysis of Normal Maps

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Two-stage parallel iterative methods for the symmetric linear complementarity problem

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Metric regularity, openness and Lipschitzian behavior of multifunctions

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A new proof of Robinson's homeomorphism theorem for pl-normal maps

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An Application of Error Bounds for Convex Programming in a Linear Space

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Regularity and Stability for Convex Multivalued Functions

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Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems

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Strongly Regular Generalized Equations

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Some continuity properties of polyhedral multifunctions

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An Implicit-Function Theorem for a Class of Nonsmooth Functions

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Normal Maps Induced by Linear Transformations

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Convex Analysis

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Mathematical programs with complementarity constraints: stationarity, optimality, and sensi\-tivity.

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Homeomorphism Conditions for Coherently Oriented Piecewise Affine Mappings

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Superlinear convergence of an algorithm for monotone linear complementarity problems, when no strictly complementary solution exists

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Nondegeneracy concepts for zeros of piecewise smooth functions

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A globally convergent Newton method for solving strongly monotone variational inequalities

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On the Rate of Convergence of a Partially Asynchronous Gradient Projection Algorithm

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On linear convergence of iterative methods for the variational inequality problem

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A Lipschitzian Characterization of Convex Polyhedra

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Global error bounds for convex quadratic inequality systems<sup>*</sup>

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A Necessary and Sufficient Condition for a Constrained Minimum

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Identifiable Surfaces in Constrained Optimization

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Equivalent Unconstrained Minimization and Global Error Bounds for Variational Inequality Problems

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Unconstrained optimization reformulations of variational inequality problems

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Non-Linear Programming Via Penalty Functions

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full work available at URL

https://doi.org/10.1007/bf02614322

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Identifiers

zbMATH Open document ID

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10.1007/BF02614322

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:1365060

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