Results 1  10
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141,452
MCPLIB: A Collection of Nonlinear Mixed Complementarity Problems
 Optimization Methods and Software
, 1994
"... The origins and some motivational details of a collection of nonlinear mixed complementarity problems are given. This collection serves two purposes. Firstly, it gives a uniform basis for testing currently available and new algorithms for mixed complementarity problems. Function and Jacobian evaluat ..."
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Cited by 90 (31 self)
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The origins and some motivational details of a collection of nonlinear mixed complementarity problems are given. This collection serves two purposes. Firstly, it gives a uniform basis for testing currently available and new algorithms for mixed complementarity problems. Function and Jacobian
NonMonotone TrustRegion Methods for BoundConstrained Semismooth Equations with Applications to Nonlinear Mixed Complementarity Problems
, 1999
"... We develop and analyze a class of trustregion methods for boundconstrained semismooth systems of equations. The algorithm is based on a simply constrained differentiable minimization reformulation. Our global convergence results are developed in a very general setting that allows for nonmonotoni ..."
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Cited by 22 (4 self)
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Newton method, which is shown to converge locally qsuperlinearly or quadratically, respectively, depending on the quality of the approximate BDsubdifferentials used. As an important application we discuss in detail how the developed algorithm can be used to solve nonlinear mixed complementarity
Interiorpoint Methods
, 2000
"... The modern era of interiorpoint methods dates to 1984, when Karmarkar proposed his algorithm for linear programming. In the years since then, algorithms and software for linear programming have become quite sophisticated, while extensions to more general classes of problems, such as convex quadrati ..."
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Cited by 612 (15 self)
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quadratic programming, semidefinite programming, and nonconvex and nonlinear problems, have reached varying levels of maturity. We review some of the key developments in the area, including comments on both the complexity theory and practical algorithms for linear programming, semidefinite programming
Toward a Conceptual Framework for MixedMethod Evaluation Designs. Educational Evaluation and Policy Analysis
, 1989
"... In recent years evaluators of educational and social programs have expanded their methodological repertoire with designs that include the use of both qualitative and quantitative methods. Such practice, however, needs to be grounded in a theory that can meaningfully guide the design and implementat ..."
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Cited by 404 (3 self)
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and implementation of mixedmethod evaluations. In this study, a mixedmethod conceptual framework was developed from the theoretical literature and then refined through an analysis of 57 empirical mixedmethod evaluations. Five purposes for mixedmethod evaluations are identified in this conceptual framework
Smoothing Of Mixed Complementarity Problems
 IN COMPLEMENTARITY AND VARIATIONAL PROBLEMS: STATE OF THE
, 1995
"... We extend the smoothing approach to the mixed complementarity problem, and study the limiting behavior of a path defined by approximate minimizers of a nonlinear least squares problem. Our main result guarantees that, under a mild regularity condition, limit points of the iterates are solutions to t ..."
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Cited by 30 (0 self)
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We extend the smoothing approach to the mixed complementarity problem, and study the limiting behavior of a path defined by approximate minimizers of a nonlinear least squares problem. Our main result guarantees that, under a mild regularity condition, limit points of the iterates are solutions
Algorithms For Complementarity Problems And Generalized Equations
, 1995
"... Recent improvements in the capabilities of complementarity solvers have led to an increased interest in using the complementarity problem framework to address practical problems arising in mathematical programming, economics, engineering, and the sciences. As a result, increasingly more difficult pr ..."
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Cited by 49 (5 self)
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are proposed for solving nonlinear mixed complementarity problems that represent a significant improvement in robustness over previous algorithms. These algorithms have local Qquadratic convergence behavior, yet depend only on a pseudomonotonicity assumption to achieve global convergence from arbitrary
Engineering and economic applications of complementarity problems
 SIAM REVIEW
, 1997
"... This paper gives an extensive documentation of applications of finitedimensional nonlinear complementarity problems in engineering and equilibrium modeling. For most applications, we describe the problem briefly, state the defining equations of the model, and give functional expressions for the c ..."
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Cited by 195 (24 self)
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This paper gives an extensive documentation of applications of finitedimensional nonlinear complementarity problems in engineering and equilibrium modeling. For most applications, we describe the problem briefly, state the defining equations of the model, and give functional expressions
The PATH Solver: A NonMonotone Stabilization Scheme for Mixed Complementarity Problems
 OPTIMIZATION METHODS AND SOFTWARE
, 1995
"... The Path solver is an implementation of a stabilized Newton method for the solution of the Mixed Complementarity Problem. The stabilization scheme employs a pathgeneration procedure which is used to construct a piecewiselinear path from the current point to the Newton point; a step length acceptan ..."
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Cited by 213 (40 self)
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The Path solver is an implementation of a stabilized Newton method for the solution of the Mixed Complementarity Problem. The stabilization scheme employs a pathgeneration procedure which is used to construct a piecewiselinear path from the current point to the Newton point; a step length
Formulating and Solving Nonlinear Programs as Mixed Complementarity Problems
 OPTIMIZATION. LECTURE NOTES IN ECONOMICS AND MATHEMATICAL SYSTEMS
, 2000
"... We consider a primaldual approach to solve nonlinear programming problems within the AMPL modeling language, via a mixed complementarity formulation. The modeling language supplies the first order and second order derivative information of the Lagrangian function of the nonlinear problem using auto ..."
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Cited by 6 (0 self)
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We consider a primaldual approach to solve nonlinear programming problems within the AMPL modeling language, via a mixed complementarity formulation. The modeling language supplies the first order and second order derivative information of the Lagrangian function of the nonlinear problem using
On the Uniqueness of Solutions for Nonlinear and Mixed Complementarity Problems
, 2005
"... The aim of this paper is to establish sufficient local conditions for the uniqueness of solutions to Nonlinear Complementarity Problems (NCP) and Mixed Complementarity Problems (MCP). Our main theorems state that for NCP and MCP defined by continuously differentiable functions, the solution is uniqu ..."
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The aim of this paper is to establish sufficient local conditions for the uniqueness of solutions to Nonlinear Complementarity Problems (NCP) and Mixed Complementarity Problems (MCP). Our main theorems state that for NCP and MCP defined by continuously differentiable functions, the solution
Results 1  10
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141,452