EuDML | Browse

Page 1

Displaying 1 – 5 of 5

Inexact Newton-type method for solving large-scale absolute value equation $A x - | x | = b$

Jingyong Tang (2024)

Applications of Mathematics

Newton-type methods have been successfully applied to solve the absolute value equation $A x - | x | = b$ (denoted by AVE). This class of methods usually solves a system of linear equations exactly in each iteration. However, for large-scale AVEs, solving the corresponding system exactly may be expensive. In this paper, we propose an inexact Newton-type method for solving the AVE. In each iteration, the proposed method solves the corresponding system only approximately. Moreover, it adopts a new line search technique,...

Iterative methods for mixed quasi bifunction variational inequalities.

Noor, Muhammad Aslam, Noor, Khalida Inayat, Al-Said, Eisa (2010)

Applied Mathematics E-Notes [electronic only]

Iterative methods for nonlinear quasi complementarity problems.

Noor, Muhammad Aslam (1987)

International Journal of Mathematics and Mathematical Sciences

Iterative methods with analytical preconditioning technique to linear complementarity problems: application to obstacle problems

H. Saberi Najafi, S. A. Edalatpanah (2013)

RAIRO - Operations Research - Recherche Opérationnelle

For solving linear complementarity problems LCP more attention has recently been paid on a class of iterative methods called the matrix-splitting. But up to now, no paper has discussed the effect of preconditioning technique for matrix-splitting methods in LCP. So, this paper is planning to fill in this gap and we use a class of preconditioners with generalized Accelerated Overrelaxation (GAOR) methods and analyze the convergence of these methods for LCP. Furthermore, Comparison between our methods...

Iterative resolvent methods for general mixed variational inequalities.

Noor, Muhammad Aslam, Noor, Khalida Inayat (2003)

Journal of Applied Mathematics and Stochastic Analysis