Solving Multi-linear Systems with -Tensors

W Ding, Y Wei - Journal of Scientific Computing, 2016 - Springer
… with solving some structured multi-linear systems, especially focusing on the equations
We begin with triangular multi-linear equations, which can be solved by a direct method, in …

[HTML][HTML] The tensor splitting with application to solve multi-linear systems

D Liu, W Li, SW Vong - Journal of Computational and Applied Mathematics, 2018 - Elsevier
solving multi-linear systems with coefficient tensor being a strong M -tensor. As an application,
a tensor splitting algorithm for solving the multi-linear … , M -tensors and strong M -tensors. …

[HTML][HTML] Preconditioned Jacobi type method for solving multi-linear systems with M-tensors

Y Zhang, Q Liu, Z Chen - Applied Mathematics Letters, 2020 - Elsevier
… The main purpose of this paper is devoted to solving the multi-linear systems by the
preconditioned methods based on the tensor splittings. We consider a new preconditioner I + G α , …

A new preconditioner of the tensor splitting iterative method for solving multi-linear systems with -tensors

LB Cui, XQ Zhang, SL Wu - Computational and applied mathematics, 2020 - Springer
… 3, we demonstrate the convergence of the new preconditioned multi-linear systems. The
monotonic of the spectral radius of preconditioned iterative tensors and some comparison …

[HTML][HTML] Interval tensors and their application in solving multi-linear systems of equations

H Bozorgmanesh, M Hajarian… - Computers & Mathematics …, 2020 - Elsevier
… definiteness and application in solving multi-linear systems. It is proved … Furthermore, solving
tensor equations using interval … are extended for interval multi-linear systems. Finally, some …

Neural networks based approach solving multi-linear systems with M-tensors

X Wang, M Che, Y Wei - Neurocomputing, 2019 - Elsevier
multi-linear system with an M -tensor is well-verified. Meanwhile, we also solve multi-linear
system … models can find a numerical solution of multi-linear system with singular M -tensors. …

[PDF][PDF] Richardson Iterative Method for Solving Multi-Linear System with M-Tensor

Y Liang, A Ibrahim, Z Omar - Malaysian Journal of Mathematical …, 2023 - mjms.upm.edu.my
In this paper, Richardson iterative method is employed to solve M-Equation. In order to
guarantee the solution can be found, convergence theorems are established and confirmed …

Accelerated convergent zeroing neurodynamics models for solving multi-linear systems with M-tensors

S Wang, L Jin, X Du, PS Stanimirovi - Neurocomputing, 2021 - Elsevier
… , on the other hand, are a type of tensor equations with a wide … approach for solving
multi-linear systems with M -tensors is … of the solution to multi-linear systems with M -tensors, we …

[PDF][PDF] On nonnegative solution of multi-linear system with strong Mz-tensors

C Mo, Y Wei - Numer Math Theor Meth Appl, 2021 - global-sci.com
solution of the homogeneous multi-linear system for some structured tensors, such as strong
M-tensors… and corresponding TCP, especially about M-tensors, here we mainly consider the …

Fast verified computation for positive solutions to M-tensor multi-linear systems and Perron vectors of a kind of weakly irreducible nonnegative tensors

S Miyajima - Journal of Computational and Applied Mathematics, 2022 - Elsevier
… given, and x is to be solved. Examples of multi-linear systems can be found in [1], [2], [3], [4]. …
To define the M -tensors, we need to define Z -tensors and introduce tensor eigenvalues first…