Modified HSS iteration methods for a class of complex symmetric linear systems

ZZ Bai, M Benzi, F Chen - Computing, 2010 - Springer
In this paper, we introduce and analyze a modification of the Hermitian and skew-Hermitian
splitting iteration method for solving a broad class of complex symmetric linear systems. We …

On preconditioned MHSS iteration methods for complex symmetric linear systems

ZZ Bai, M Benzi, F Chen - Numerical Algorithms, 2011 - Springer
We propose a preconditioned variant of the modified HSS (MHSS) iteration method for
solving a class of complex symmetric systems of linear equations. Under suitable conditions …

Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems

ZZ Bai, M Benzi, F Chen… - IMA Journal of Numerical …, 2013 - academic.oup.com
We construct a preconditioned modified Hermitian and skew-Hermitian splitting (PMHSS)
iteration scheme for solving and preconditioning a class of block two-by-two linear systems …

A comparison of iterative methods to solve complex valued linear algebraic systems

O Axelsson, M Neytcheva, B Ahmad - Numerical Algorithms, 2014 - Springer
Complex valued linear algebraic systems arise in many important applications. We present
analytical and extensive numerical comparisons of some available numerical solution …

Robust and scalable 3-D geo-electromagnetic modelling approach using the finite element method

AV Grayver, M Bürg - Geophysical Journal International, 2014 - academic.oup.com
We present a robust and scalable solver for time-harmonic Maxwell's equations for problems
with large conductivity contrasts, wide range of frequencies, stretched grids and locally …

[图书][B] Surface modeling: high accuracy and high speed methods

TX Yue - 2011 - books.google.com
Based on newly developed methods by the author, who is the inventor of HASM methods,
this handbook bridges the gap between the mathematical-oriented theory of surface …

A generalization of the Hermitian and skew-Hermitian splitting iteration

M Benzi - SIAM Journal on Matrix Analysis and Applications, 2009 - SIAM
This paper is concerned with a generalization of the Hermitian and skew-Hermitian (HSS)
splitting iteration for solving positive definite, non-Hermitian linear systems. It is shown that …

Generalized successive overrelaxation iterative method for a class of complex symmetric linear system of equations

DK Salkuyeh, D Hezari, V Edalatpour - International Journal of …, 2015 - Taylor & Francis
In this paper, to solve a broad class of complex symmetric linear systems, we recast the
complex system in a real formulation and apply the generalized successive overrelaxation …

Preconditioned GSOR iterative method for a class of complex symmetric system of linear equations

D Hezari, V Edalatpour… - Numerical Linear Algebra …, 2015 - Wiley Online Library
In this paper, we present a preconditioned variant of the generalized successive
overrelaxation (GSOR) iterative method for solving a broad class of complex symmetric …

On preconditioned iteration methods for complex linear systems

ZZ Bai - Journal of Engineering Mathematics, 2015 - Springer
A complex system of linear equations arises in many important applications. We further
explore algebraic and convergence properties and present analytical and numerical …