May 3, 2017 · Theorem 1.1. ([11]) If A is a strong M -tensor, then for every positive vector b the tensor system A x m − 1 = b has a unique positive solution.

We solve these tensor systems, especially focusing on symmetric M M-tensor systems, by some tensor methods. A new tensor method is proposed based on the rank-1 ...

May 13, 2019 · To find a solution to the underlying system (1.3) with M-tensors, some state-of-the-art algorithms, including the Jacobi, Gauss-Seidel, Newton ...

Tensor systems involving tensor-vector products (or polynomial systems) are considered. We solve these tensor systems, especially focusing on symmetric M-tensor ...

Thus A = 1500I−B is a symmetric nonsingular M-tensor. We apply the Newton method, the accelerated Jacobi method, the accelerated Gauss-Seidel method, and ...

May 3, 2017 · We solve these tensor systems, especially focusing on symmetric -tensor systems, by some tensor methods. A new tensor method is proposed based ...

Tensor Methods for Solving Symmetric $${\mathcal {M}}$$ M -tensor Systems. Work. HTML. Year: 2017. Type: article. Source: Journal of Scientific Computing.

We solve these tensor systems, especially focusing on symmetric M -tensor systems, by some tensor methods. A new tensor method is proposed based on the rank-1 ...

This paper presents a Tensor approximation algorithm, based on the Levenberg–Marquardt method, to decompose large-scale tensors into the sum of the products ...

The steepest descent and conjugate gradient methods are classical gradient based iterative methods for solving symmetric positive definite linear system ...