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- Title
Prediction-correction method with BB step sizes.
- Authors
Dong, Xiaomei; Cai, Xingju; Han, Deren
- Abstract
In the prediction-correction method for variational inequality (VI) problems, the step size selection plays an important role for its performance. In this paper, we employ the Barzilai-Borwein (BB) strategy in the prediction step, which is efficient for many optimization problems from a computational point of view. To guarantee the convergence, we adopt the line search technique, and relax the conditions to accept the BB step sizes as large as possible. In the correction step, we utilize a longer step length to calculate the next iteration point. Finally, we present some preliminary numerical results to show the efficiency of the algorithms.
- Subjects
MATHEMATICAL equivalence; MATHEMATICAL optimization; MATHEMATICAL programming; SUBSET selection; SET theory
- Publication
Frontiers of Mathematics in China, 2018, Vol 13, Issue 6, p1325
- ISSN
1673-3452
- Publication type
Article
- DOI
10.1007/s11464-018-0739-3