The numerical study of a regularized smoothing Newton method for solving \(P_{0}\)-NCP based on the generalized smoothing Fischer-Burmeister function
From MaRDI portal
Publication:434689
DOI10.1016/j.amc.2012.01.003zbMath1256.65056OpenAlexW2070426454MaRDI QIDQ434689
Publication date: 16 July 2012
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2012.01.003
global convergencenonlinear complementarity problemnumerical experimentFischer-Burmeister functionsmoothing and regularization Newton methodsuperlinear/quadratic convergence
Numerical mathematical programming methods (65K05) Methods of quasi-Newton type (90C53) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)
Related Items
Modified modulus-based matrix splitting algorithms for a class of weakly nondifferentiable nonlinear complementarity problems, A one-parametric class of smoothing functions and an improved regularization Newton method for the NCP, A regularization Newton method based on the generalized Fischer-Burmeister smoothing function for the NCP, The modulus-based matrix splitting algorithms for a class of weakly nonlinear complementarity problems, A partially smoothing Jacobian method for nonlinear complementarity problems with \(P_0\) function
Cites Work
- Unnamed Item
- Unnamed Item
- NE/SQP: A robust algorithm for the nonlinear complementarity problem
- A B-differentiable equation-based, globally and locally quadratically convergent algorithm for nonlinear programs, complementarity and variational inequality problems
- Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
- On convergence of a smoothing Broyden-like method for \(P_0\)-NCP
- A regularization semismooth Newton method based on the generalized Fischer-Burmeister function for \(P_0\)-NCPs
- A family of NCP functions and a descent method for the nonlinear complementarity problem
- A regularization smoothing Newton method for solving nonlinear complementarity problem
- The convergence of a smoothing damped Gauss-Newton method for nonlinear complementarity problem
- A new continuation method for complementarity problems with uniform P- functions
- Solution of monotone complementarity problems with locally Lipschitzian functions
- Predictor-corrector smoothing Newton method, based on a new smoothing function, for solving the nonlinear complementarity problem with a \(P_0\) function
- The global linear convergence of an infeasible non-interior path-following algorithm for complementarity problems with uniform \(P\)-functions
- The non-interior continuation methods for solving the \(P_0\) function nonlinear complementarity problem
- On the resolution of monotone complementarity problems
- Strict feasibility conditions in nonlinear complementarity problems
- Global Newton-type methods and semismooth reformulations for NCP
- A new look at smoothing Newton methods for nonlinear complementarity problems and box constrained variational inequalities
- A nonsmooth version of Newton's method
- A null space approach for solving nonlinear complementarity problems
- A globally and superlinearly convergent smoothing Broyden-like method for solving nonlinear complementarity problem
- The convergence of a one-step smoothing Newton method for \(P_0\)-NCP based on a new smoothing NCP-function
- On P- and S-functions and related classes of \(n\)-dimensional nonlinear mappings
- Superlinear/quadratic one-step smoothing Newton method for \(P_0\)-NCP
- The Global Linear Convergence of a Noninterior Path-Following Algorithm for Linear Complementarity Problems
- On a New Homotopy Continuation Trajectory for Nonlinear Complementarity Problems
- A New Nonsmooth Equations Approach to Nonlinear Complementarity Problems
- A Non-Interior-Point Continuation Method for Linear Complementarity Problems
- Computational complexity of LCPs associated with positive definite symmetric matrices
- Homotopy Continuation Methods for Nonlinear Complementarity Problems
- Semismooth and Semiconvex Functions in Constrained Optimization
- Beyond Monotonicity in Regularization Methods for Nonlinear Complementarity Problems
- A General Framework of Continuation Methods for Complementarity Problems
- Engineering and Economic Applications of Complementarity Problems
- A Globally and Locally Superlinearly Convergent Non--Interior-Point Algorithm for P0LCPs
- Existence and Limiting Behavior of a Non--Interior-Point Trajectory for Nonlinear Complementarity Problems Without Strict Feasibility Condition
- Convergence Analysis of Some Algorithms for Solving Nonsmooth Equations
- Some Noninterior Continuation Methods for Linear Complementarity Problems
- Iterative methods for linear complementarity problems with upperbounds on primary variables
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- Global Convergence Properties of Some Iterative Methods for Linear Complementarity Problems
- Limiting Behavior of Trajectories Generated by a Continuation Method for Monotone Complementarity Problems
