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Multilinear systems play an important role in scientific calculations ofpractical problems. In this paper, we consider a tensor splitting method with arelaxed Anderson acceleration for solving multilinear systems. The new methodpreserves nonnegativity for every iterative step and improves the existingones. Furthermore, the convergence analysis of the proposed method is given.The new algorithm performs effectively for numerical experiments.

Restarted Nonnegativity Preserving Tensor Splitting Methods via Relaxed Anderson Acceleration for Solving Multi-linear Systems