Quadratic one-step smoothing Newton method for \(P_{0}\)-LCP without strict complementarity.
From MaRDI portal
Publication:1406258
DOI10.1016/S0096-3003(02)00234-5zbMath1049.65054OpenAlexW2023913568MaRDI QIDQ1406258
Publication date: 9 September 2003
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00234-5
global convergencesmoothingNewton's methodlinear complementarity problemquadratic convergenceline search
Numerical mathematical programming methods (65K05) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A comparison of large scale mixed complementarity problem solvers
- A new approach to continuation methods for complementarity problems with uniform \(P\)-functions
- The non-interior continuation methods for solving the \(P_0\) function nonlinear complementarity problem
- Global convergence of a class of non-interior point algorithms using Chen-Harker-Kanzow-Smale functions for nonlinear complementarity problems
- A regularization Newton method for solving nonlinear complementarity problems
- A class of smoothing functions for nonlinear and mixed complementarity problems
- A smoothing Newton method for general nonlinear complementarity problems
- Sub-quadratic convergence of a smoothing Newton algorithm for the \(P_0\)- and monotone LCP
- Smoothing methods for convex inequalities and linear complementarity problems
- A new look at smoothing Newton methods for nonlinear complementarity problems and box constrained variational inequalities
- A non-interior predictor-corrector path following algorithm for the monotone linear complementarity problem
- A nonsmooth version of Newton's method
- Regularization of P0-Functions in Box Variational Inequality Problems
- The Global Linear Convergence of a Noninterior Path-Following Algorithm for Linear Complementarity Problems
- Weak Univalence and Connectedness of Inverse Images of Continuous Functions
- A Non-Interior-Point Continuation Method for Linear Complementarity Problems
- On the convergence of a block successive over-relaxation method for a class of linear complementarity problems
- A special newton-type optimization method
- Smooth Approximations to Nonlinear Complementarity Problems
- Global and superlinear convergence of the smoothing Newton method and its application to general box constrained variational inequalities
- A Regularized Smoothing Newton Method for Box Constrained Variational Inequality Problems with P0-Functions
- Convergence Analysis of Some Algorithms for Solving Nonsmooth Equations
- Improving the convergence of non-interior point algorithms for nonlinear complementarity problems
- A Smoothing Newton Method for Extended Vertical Linear Complementarity Problems
- Jacobian Smoothing Methods for Nonlinear Complementarity Problems
- A Global Linear and Local Quadratic Noninterior Continuation Method for Nonlinear Complementarity Problems Based on Chen--Mangasarian Smoothing Functions
- A Global and Local Superlinear Continuation-Smoothing Method forP0andR0NCP or Monotone NCP
- Some Noninterior Continuation Methods for Linear Complementarity Problems
- Superlinear noninterior one-step continuation method for monotone LCP in the absence of strict complementarity.
- Solving variational inequality problems via smoothing-nonsmooth reformulations