Abstract
In this paper, we intend to solve the multi-linear system by preconditioned iterative method based on tensor splitting. We propose a new preconditioner I+Smax. In order to compare the convergence rates of preconditioned iterative methods with preconditioner I+Smax and preconditioner I+Sα presented by Li et al. (2018), we propose a new splitting method for tensors. The convergence and comparison theorems of newly proposed splitting method with two preconditioner are given.
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