Solving Multi-linear Systems with -Tensors
… 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 …
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
… 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. …
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 , …
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 …
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 …
tensor equations using interval … are extended for interval multi-linear systems. Finally, some …
Neural networks based approach solving multi-linear systems with M-tensors
… 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. …
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
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 …
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 …
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
… 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 …
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…
To define the M -tensors, we need to define Z -tensors and introduce tensor eigenvalues first…