Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
Dr. Peiting Gao, TaiYuan University of Technology
Inviter:
Title:
Some adaptive projection methods for constrained monotone nonlinear equations with compressive sensing
Time & Venue:
2019.11.26 15:30-16:30 Z311
Abstract:
In this talk, we want to introduce some three-term conjugate gradient methods involving the selection of adaptive parameters. Some parameters in the search direction are determined by minimizing the distance between the relative matrix and self-scaling memoryless BFGS updated by Oren in the Frobenius norm. And the remain others are obtained by enforcing the boundness of the condition number of the relative matrix. By the projection technology, we extend these methods to solve the monotone nonlinear equations with convex constraints. Preliminary numerical results are reported to demonstrate a promising computational performance. Furthermore, we also employ our algorithms to compressive sensing. Some numerical comparisons are given to indicate that our algorithms are efficient.
Appendix：
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