This randomized trial demonstrates the effectiveness of a new preconditioner for multi-linear systems, indicating significant improvements in convergence analysis.
Multi-linear systems with Z-tensors are more general than those with M-tensors. In this paper, we consider multi-linear systems with Z-tensor coefficients. Theoretically, we provide a convergence analysis and compare the spectral radii of the preconditioned iteration tensor and the original tensor within the Z-tensor framework. Numerical examples are presented to verify the theoretical spectral radius comparisons. Additionally, numerical examples on nonsingular M-tensors demonstrate the effectiveness of the proposed preconditioner.
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Yihong Wang (2026) studied this question.
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