摘要
This paper deals with a bi-extrapolated subgradient projection algorithm by intro- ducing two extrapolated factors in the iterative step to solve the multiple-sets split feasibility problem. The strategy is intend to improve the convergence. And its convergence is proved un- der some suitable conditions. Numerical results illustrate that the bi-extrapolated subgradient projection algorithm converges more quickly than the existing algorithms.
This paper deals with a bi-extrapolated subgradient projection algorithm by intro- ducing two extrapolated factors in the iterative step to solve the multiple-sets split feasibility problem. The strategy is intend to improve the convergence. And its convergence is proved un- der some suitable conditions. Numerical results illustrate that the bi-extrapolated subgradient projection algorithm converges more quickly than the existing algorithms.
基金
Supported by Natural Science Foundation of Shanghai(14ZR1429200)
National Science Foundation of China(11171221)
Shanghai Leading Academic Discipline Project(XTKX2012)
Innovation Program of Shanghai Municipal Education Commission(14YZ094)
Doctoral Program Foundation of Institutions of Higher Educationof China(20123120110004)
Doctoral Starting Projection of the University of Shanghai for Science and Technology(ID-10-303-002)
Young Teacher Training Projection Program of Shanghai for Science and Technology
