A note on the CQ algorithm for the split feasibility problem

By B. Qu, N. Xiu. 2005

332 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/ff936ea447ba2549dab4c767d0ed9505b7ed3b75

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In Computational Mechanics

In Computational Theory and Mathematics

In Numerical Analysis

Citations in the corpus

Perturbed projections and subgradient projections for the multiple-sets split feasibility problem (2007, methodology): “…developments on the split feasibility problem appear in Cegielski [9,10], where the linear split feasibility problem is studied, in Qu and Xiu [23] who modify algorithms by adopting Armijo-like searches, in Yang [29] where algorithms that do not depend on the calculation of the spectral…”
Iterative algorithms for the split variational inequality and fixed point problems under nonlinear transformations (2017, background): “The reader can refer to: Byrne [2], Ceng et al. [3, 4], Censor et al. [5–7], He et al. [10, 11], Qu and Xiu [15], Xu [17, 18], Yang [19], Yao et al. [21, 23, 26], Zhao [30], and the references therein.”
The multiple-sets split feasibility problem and its applications for inverse problems (2005, neutral): “Related to the two-sets split feasibility problem are also the recent papers of Zhao and Yang [37] and Qu and Xiu [30].”
Algorithms for the Split Variational Inequality Problem (2010, background): “More work on the SCFP can be found in [6, 15, 27, 34, 38, 40, 43, 44, 46, 48, 49].”
A New Algorithm for Solving The Multiple-Sets Split Feasibility Problem in Banach Spaces (2014, background): “The MSSFP has been widely studied by many authors (see [3, 6, 11, 15, 16, 19, 20, 22, 23]), due to its various real-world applications, such as the inverse problem arising in intensity-modulate radiation therapy [4].”
The strong convergence of a KM–CQ-like algorithm for a split feasibility problem (2010, methodology): “Various algorithms have been invented to solve the SFP, see [1, 2, 4, 7, 10, 14, 15] and references therein.”