Comparison results for splitting iterations for solving multi-linear systems

W Li, D Liu, SW Vong - Applied Numerical Mathematics, 2018 - Elsevier
It is known that the spectral radius of the iterative tensor can be seen as an approximate
convergence rate for solving multi-linear systems by tensor splitting iterative methods. So in …

A new preconditioned SOR method for solving multi-linear systems with an -tensor

D Liu, W Li, SW Vong - Calcolo, 2020 - Springer
In this paper, we propose a new preconditioned SOR method for solving the multi-linear
systems whose coefficient tensor is an M M-tensor. The corresponding comparison for …

The Jacobi and Gauss–Seidel-type iteration methods for the matrix equation AXB= C

Z Tian, M Tian, Z Liu, T Xu - Applied Mathematics and Computation, 2017 - Elsevier
In this paper, the Jacobi and Gauss–Seidel-type iteration methods are proposed for solving
the matrix equation AXB= C, which are based on the splitting schemes of the matrices A and …

[HTML][HTML] Preconditioned AOR iterative methods for M-matrices

L Wang, Y Song - Journal of Computational and Applied Mathematics, 2009 - Elsevier
Linear systems with M-matrices often appear in a wide variety of areas. In this paper, we
give general preconditioners for solving the systems with nonsingular M-matrix. We show …

Convergence analysis of modified iterative methods to solve linear systems

HS Najafi, SA Edalatpanah… - Mediterranean journal of …, 2014 - Springer
In the past years, a growing interest to solve linear systems with modified iterative methods
has been shown by researchers. Recently, Dehghan and Hajarian (J Vib Control, doi …

The parameterized accelerated iteration method for solving the matrix equation

Z Tian, X Duan, NC Wu, Z Liu - Numerical Algorithms, 2024 - Springer
By introducing two parameters in the splittings of the matrices A and B, this paper presents a
parameterized accelerated iteration (PAI) method for solving the matrix equation AXB= C …

Some relaxed iteration methods for solving matrix equation AXB= C

Z Tian, X Li, Y Dong, Z Liu - Applied mathematics and computation, 2021 - Elsevier
In this paper, based on the iteration frameworks [6], several relaxed iteration methods are
proposed for solving the matrix equation AXB= C by introducing a tunable parameter ω, and …

Modified iterative methods for nonnegative matrices and M-matrices linear systems

Y Zhang, TZ Huang, XP Liu - Computers & Mathematics with Applications, 2005 - Elsevier
The purpose of this paper is to present new preconditioning techniques for solving
nonnegative matrices linear system and M-matrices linear system Ax= b based on the I+ S …

[HTML][HTML] A general preconditioner for linear complementarity problem with an M-matrix

PF Dai, JC Li, YT Li, J Bai - Journal of Computational and Applied …, 2017 - Elsevier
In this paper, we first present a general preconditioner P for solving linear complementarity
problem (LCP) associated with an M-matrix A and a vector f, and prove that the LCP (A, f) is …

[HTML][HTML] A note on the preconditioned Gauss–Seidel (GS) method for linear systems

W Li - Journal of computational and applied mathematics, 2005 - Elsevier
In this note recent comparison results for preconditioned Gauss–Seidel (GS) methods are
discussed. A new strict comparison result between two different preconditioned GS methods …