[HTML][HTML] A COCR method for solving complex symmetric linear systems

T Sogabe, SL Zhang - Journal of computational and applied mathematics, 2007 - Elsevier
The Conjugate Orthogonal Conjugate Gradient (COCG) method has been recognized as an
attractive Lanczos-type Krylov subspace method for solving complex symmetric linear …

[图书][B] Iterative methods and preconditioning for large and sparse linear systems with applications

D Bertaccini, F Durastante - 2018 - taylorfrancis.com
This book describes, in a basic way, the most useful and effective iterative solvers and
appropriate preconditioning techniques for some of the most important classes of large and …

[HTML][HTML] A new iteration method for a class of complex symmetric linear systems

T Wang, Q Zheng, L Lu - Journal of Computational and Applied …, 2017 - Elsevier
In this paper, a new iteration method is proposed for solving the complex symmetric linear
systems. In theory, we show that the convergence factor or the upper bound of the spectral …

Krylov subspace methods for linear systems

T Sogabe - Springer Series in Computational Mathematics, 2022 - Springer
In many fields of scientific computing and data science, we frequently face the problem of
solving large and sparse linear systems of the form Ax= b, which is one of the most time …

Lanczos-type variants of the COCR method for complex nonsymmetric linear systems

YF Jing, TZ Huang, Y Zhang, L Li, GH Cheng… - Journal of …, 2009 - Elsevier
Motivated by the celebrated extending applications of the well-established complex
Biconjugate Gradient (CBiCG) method to deal with large three-dimensional electromagnetic …

Large systems of equations in a discrete electromagnetism: formulations and numerical algorithms

M Clemens - IEE Proceedings-Science, Measurement and …, 2005 - IET
The description of discrete electromagnetic fields is achieved with the Maxwell grid
equations, a set of matrix equations representing a spatial discretisation of Maxwell's …

Iterative solver with folded preconditioner for finite element simulation of magnetotelluric fields

YG Soloveichik, MG Persova, PA Domnikov… - Computers & …, 2022 - Elsevier
We propose an iterative solver with a folded preconditioner for large sparse systems of
linear algebraic equations (SLAEs), which are obtained as a result of a vector finite element …

Accelerated PMHSS iteration methods for complex symmetric linear systems

QQ Zheng, CF Ma - Numerical Algorithms, 2016 - Springer
In this paper, we introduce and analyze an accelerated preconditioning modification of the
Hermitian and skew-Hermitian splitting (APMHSS) iteration method for solving a broad class …

Quasi-minimal residual variants of the COCG and COCR methods for complex symmetric linear systems in electromagnetic simulations

XM Gu, TZ Huang, L Li, HB Li… - IEEE Transactions …, 2014 - ieeexplore.ieee.org
The conjugate orthogonal conjugate gradient (COCG) method has been considered an
attractive part of the Lanczos-type Krylov subspace method for solving complex symmetric …

The BiCOR and CORS iterative algorithms for solving nonsymmetric linear systems

B Carpentieri, YF Jing, TZ Huang - SIAM Journal on Scientific Computing, 2011 - SIAM
We present two iterative algorithms for solving real nonsymmetric and complex non-
Hermitian linear systems of equations and that were developed from variants of the …