Alternated inertial algorithms for split feasibility problems.

Autor:	Tan, Bing, Qin, Xiaolong, Wang, Xianfu
Předmět:	SIGNAL denoising IMAGE denoising HILBERT space IMAGE reconstruction MONOTONIC functions ALGORITHMS
Zdroj:	Numerical Algorithms; Feb2024, Vol. 95 Issue 2, p773-812, 40p
Abstrakt:	We introduce four novel relaxed CQ algorithms with alternating inertial for solving split feasibility problems in real Hilbert spaces. The proposed algorithms employ a new non-monotonic adaptive step size criterion and utilize two different step sizes in each iteration. The weak convergence of the iterative sequences generated by the proposed algorithms is established under some weak conditions. Moreover, the Fejér monotonicity of the even subsequence with respect to the solution set is recovered. Two applications in signal denoising and image deblurring are given to illustrate the computational efficiency of our algorithms. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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