An improved strongly sub-feasible SSLE method for optimization problems and numerical experiments |
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Authors: | Xing-de MoJin-bao Jian Su-min Yang |
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Institution: | College of Mathematics and Information Science, Guangxi University, 530004 Nanning, China |
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Abstract: | In this paper, the super-linearly and quadratically convergent strong sub-feasible method J.L. Li, J.B. Jian, A superlinearly and quadratically convergent strongly subfeasible method for nonlinear inequality constrained optimization, OR Transactions, 7 (2) (2003) 21-34] for nonlinear inequality constrained optimization is improved, such that the iterative points can get into the feasible region after a finite number of iterations. As a result, a strict restricted condition can be overcome. Another two contributions of this paper are that a new bidirectional Armijo line search is presented and a lot of numerical comparison results are reported. |
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Keywords: | Constrained optimization Sequential systems of linear equations Method of strongly sub-feasible directions Convergence and rate of convergence Numerical experiments |
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