Abstract
In this paper, we propose a family of new smoothing functions for solving a system of equalities and inequalities, which is a generalization of [13]. We then investigate an algorithm based on a new reformation (H) over cap with less dimensionality and show, as in [13], that it is globally and locally convergent under suitable assumptions. Numerical evidence shows the better performance of the algorithm in the sense that some unsolved examples in [13] can be solved by our proposed method. Moreover, the involved parameters in the family of new smoothing functions does not have influence in the algorithm, which is a new discovery to the literature.
Original language | American English |
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Pages (from-to) | 185-206 |
Journal | PACIFIC JOURNAL OF OPTIMIZATION |
Volume | 12 |
Issue number | 1 |
State | Published - 2016 |
Keywords
- ALGORITHM
- FINITE NUMBER
- ITERATIONS
- NONLINEAR INEQUALITIES
- convergence
- smoothing function
- system of equations and inequalities