Newton’s Method for M-Tensor Equations
Journal of Optimization Theory and Applications(2021)
摘要
We are concerned with the tensor equations whose coefficient tensors are M-tensors. We first propose a Newton method for solving the equation with a positive constant term and establish its global and quadratic convergence. Then we extend the method to solve the equation with a nonnegative constant term and establish its convergence. At last, we do numerical experiments to test the proposed methods. The results show that the proposed methods are quite efficient.
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关键词
M-tensor equation,Newton method,Quadratic convergence
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