A B-differentiable equation-based, globally and locally quadratically convergent algorithm for nonlinear programs, complementarity and variational inequality problems-Reference-Cited by-同舟云学术

A B-differentiable equation-based, globally and locally quadratically convergent algorithm for nonlinear programs, complementarity and variational inequality problems

Published:1991-07 Issue:1-3 Volume:51 Page:101-131
ISSN:0025-5610
Container-title:Mathematical Programming
language:en
Short-container-title:Mathematical Programming

Author:

Pang Jong-Shi

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics,Software

Link

http://link.springer.com/content/pdf/10.1007/BF01586928.pdf

Reference14 articles.

1. D.P. Bertsekas,Constrained Optimization and Lagrange Multiplier Methods (Academic Press, New York, 1982).

2. R.W. Cottle, “Manifestations of the Schur complement,”Linear Algebra and its Applications 8 (1974) 189–211.

3. R. Fletcher,Practical Methods of Optimization (Wiley, New York, 1987, 2nd ed.).

4. P.T. Harker and J.S. Pang, “Finite-dimensional variational inequality and nonlinear complementarity problems: a survey of theory, algorithms and applications,”Mathematical Programming (Series B) 48 (1990) 161–220.

5. P.T. Harker and J.S. Pang, “A damped-Newton method for the linear complementarity problem,” in: E.L. Allgower and K. Georg, eds.,Computational Solution of Nonlinear Systems of Equations. Lectures in Applied Mathematics No. 26 (American Mathematical Society, Providence, RI, 1990) pp. 265–284.

Cited by 142 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. An algorithm based on B-differentiable equations method for solving problems involving frictional contact coupled with concrete plastic damage;Engineering Structures;2024-10

2. Three Methods for 3d Elastoplastic Frictional Contact Problems Based on B-Differentiable Newton Method;2024

3. A Smooth Approach to the solution of Nonlinear Complementarity Problems involving $\mathcal{P}_{0}$-function;2022 8th International Conference on Optimization and Applications (ICOA);2022-10-06

4. B-Subdifferentials of the Projection onto the Generalized Simplex;Asia-Pacific Journal of Operational Research;2021-05-11

5. Parametric NCP-Based Recurrent Neural Network Model: A New Strategy to Solve Fuzzy Nonconvex Optimization Problems;IEEE Transactions on Systems, Man, and Cybernetics: Systems;2021-04