求解Hilbert空间中分裂等式问题的新算法

IF 0.3 Q4 MATHEMATICS

Acta Mathematica Vietnamica Pub Date : 2024-08-13 DOI:10.1007/s40306-024-00552-6

Nguyen Song Ha, Truong Minh Tuyen

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引用次数: 0

摘要

提出了一种利用无约束优化求解实数Hilbert空间中分裂等式问题的新方法。我们的新算法不依赖于传输映射的范数。并给出了相应的松弛迭代算法。最后，我们给出了一些数值实验来验证主要结果的性能。

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New Algorithms for Solving the Split Equality Problems in Hilbert Spaces

We introduce a new approach by using unconstrained optimization to find a solution to the system of the split equality problems in real Hilbert spaces. Our new algorithms do not depend on the norm of the transfer mappings. We also give the relaxed iterative algorithms corresponding to the proposed algorithms. Finally, we present some numerical experiments to demonstrate the performance of the main results.

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来源期刊

Acta Mathematica Vietnamica MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

期刊介绍： Acta Mathematica Vietnamica is a peer-reviewed mathematical journal. The journal publishes original papers of high quality in all branches of Mathematics with strong focus on Algebraic Geometry and Commutative Algebra, Algebraic Topology, Complex Analysis, Dynamical Systems, Optimization and Partial Differential Equations.