Efficient block splitting iteration methods for solving a class of complex symmetric linear systems

ZG Huang - Journal of Computational and Applied Mathematics, 2021 - Elsevier
In this paper, we first propose a new block splitting (NBS) iteration method for solving the
large sparse complex symmetric linear systems. The NBS iteration method avoids complex …

[HTML][HTML] Preconditioned accelerated generalized successive overrelaxation method for solving complex symmetric linear systems

ZG Huang, LG Wang, Z Xu, JJ Cui - Computers & Mathematics with …, 2019 - Elsevier
In this paper, by adopting the preconditioned technique for the accelerated generalized
successive overrelaxation method (AGSOR) proposed by Edalatpour et al.(2015), we …

A new double-step splitting iteration method for certain block two-by-two linear systems

ZG Huang - Computational and Applied Mathematics, 2020 - Springer
We consider the iterative solution of certain block two-by-two linear systems and introduce a
new double-step splitting (NDSS) iteration method. The proposed method is based on the …

On the generalized AOR and CG iteration methods for a class of block two-by-two linear systems

FB Balani, M Hajarian - Numerical Algorithms, 2022 - Springer
In this work, we utilize the generalized AOR (GAOR) and CG (GCG) methods for constructing
iteration methods to solve the block two-by-two linear systems which arise from the solution …

[HTML][HTML] Preconditioned symmetric block triangular splitting iteration method for a class of complex symmetric linear systems

J Zhang, Z Wang, J Zhao - Applied Mathematics Letters, 2018 - Elsevier
In this paper, a preconditioned symmetric block triangular splitting (PSBTS) iteration method
is proposed for solving a class of block two-by-two real linear systems which arise from …

Preconditioned triangular splitting iteration method for a class of complex symmetric linear systems

ZG Huang, Z Xu, JJ Cui - Calcolo, 2019 - Springer
For the large sparse complex symmetric linear systems, we construct a preconditioned
triangular splitting (PTS) iteration method based on utilizing the preconditioned technique …

Modified Newton-PSBTS method for solving complex nonlinear systems with symmetric Jacobian matrices

Y Zhang, Q Wu, Y Feng, Y Xiao - Applied Numerical Mathematics, 2022 - Elsevier
The main purpose of this paper is to give an effective iterative method for solving complex
nonlinear systems with symmetric Jacobian matrices called the modified Newton …

Two Block Splitting Iteration Methods for Solving Complex Symmetric Linear Systems from Complex Helmholtz Equation

Y Zhu, N Zhang, Z Chao - Mathematics, 2024 - mdpi.com
In this paper, we study the improved block splitting (IBS) iteration method and its accelerated
variant, the accelerated improved block splitting (AIBS) iteration method, for solving linear …

Practical RPCG methods for complex symmetric linear systems

SR He, F Chen - Computational and Applied Mathematics, 2023 - Springer
We investigate the restrictively preconditioned conjugate gradient (RPCG) method for
complex symmetric linear systems. First, we transform the complex symmetric linear system …

[HTML][HTML] Numerical Simulations of Complex Helmholtz Equations Using Two-Block Splitting Iterative Schemes with Optimal Values of Parameters

CS Liu, CW Chang, CC Tsai - AppliedMath, 2024 - mdpi.com
For a two-block splitting iterative scheme to solve the complex linear equations system
resulting from the complex Helmholtz equation, the iterative form using descent vector and …