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Preconditioned Splitting Iterations for Solving Multi-linear Systems
编辑:林煜发布时间:2019年04月04日

Speaker:Wen LiSouth China Normal University

Time:2019-04-04,15:00

Location:Conference Room 108 at Experiment Building at Haiyun Campus

Abstract: It is known that the spectral radius of the iterative tensor can be seen as an approximate convergence rate for solving multi-linear systems by tensor splitting iterative methods. So in this talk, first we give some spectral radius comparisons between two different iterative tensors. Then, we propose the preconditioned tensor splitting method for solving multi-linear systems, which provides an alternative algorithm with the choice of a preconditioner. In particular, also we give some spectral radius comparisons between the preconditioned iterative tensor the original one. Numerical examples are given to demonstrate the efficiency of the proposed preconditioned methods.