Accelerated double-step scale splitting iteration method for solving a class of complex symmetric linear systems

DOI10.1007/s11075-019-00682-1zbMath1445.65007OpenAlexW2922015303WikidataQ128247215 ScholiaQ128247215MaRDI QIDQ2287865

Akbar Shirilord, Mehdi Dehghan

Publication date: 22 January 2020

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-019-00682-1

zbMATH Keywords

convergenceiteration methodoptimal parameterscomplex symmetric positive definite matrixdouble-step scale splitting procedure

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (7)

Single step iterative method for linear system of equations with complex symmetric positive semi-definite coefficient matrices ⋮ Reordering-based Schur complement preconditioners for a class of two-by-two block complex linear systems ⋮ Double parameter splitting (DPS) iteration method for solving complex symmetric linear systems ⋮ On computational efficiency and dynamical analysis for a class of novel multi-step iterative schemes ⋮ Respectively scaled splitting iteration method for a class of block 4-by-4 linear systems from eddy current electromagnetic problems ⋮ The double-step scale splitting method for solving complex Sylvester matrix equation ⋮ Approximating optimal parameters for generalized preconditioned Hermitian and skew-Hermitian splitting (GPHSS) method

Cites Work

• Unnamed Item
• Unnamed Item
• A comparison of iterative methods to solve complex valued linear algebraic systems
• On preconditioned MHSS iteration methods for complex symmetric linear systems
• Modified HSS iteration methods for a class of complex symmetric linear systems
• Complex solution to nonideal contaminant transport through porous media
• On the solution of a class of complex symmetric linear systems
• Efficient preconditioning for sequences of parametric complex symmetric linear systems
• Iterative system solvers for the frequency analysis of linear mechanical systems
• Double-step scale splitting iteration method for a class of complex symmetric linear systems
• On inexact Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems
• Several splittings for non-Hermitian linear systems
• On generalized successive overrelaxation methods for augmented linear systems
• A GENERALIZED PRECONDITIONED MHSS METHOD FOR A CLASS OF COMPLEX SYMMETRIC LINEAR SYSTEMS
• Numerical Analysis of the Exterior Boundary Value Problem for the Time- Harmonic Maxwell Equations by a Boundary Finite Element Method Part 2: The Discrete Problem
• Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems
• Stability and the matrix Lyapunov equation for discrete 2-dimensional systems
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Optical tomography in medical imaging
• Discrete Fredholm properties and convergence estimates for the electric field integral equation
• Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
• Real valued iterative methods for solving complex symmetric linear systems
• An Iterative Method for Solving Complex-Symmetric Systems Arising in Electrical Power Modeling

This page was built for publication: Accelerated double-step scale splitting iteration method for solving a class of complex symmetric linear systems