An extension of the positive-definite and skew-Hermitian splitting method for preconditioning of generalized saddle point problems

Masoudi, Mohsen; Salkuyeh, Davod Khojasteh

doi:10.1016/j.camwa.2019.10.030

Computers & Mathematics with Applications

2020

DOI: 10.1016/j.camwa.2019.10.030

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An extension of the positive-definite and skew-Hermitian splitting method for preconditioning of generalized saddle point problems

Mohsen Masoudi

Davod Khojasteh Salkuyeh

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Cited by 5 publications

References 66 publications

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A class of block alternating splitting implicit iteration methods for double saddle point linear systems

Dou

Liang

2022

Numerical Linear Algebra App

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In the framework of a special block alternating splitting implicit (BASI) iteration scheme for generalized saddle point problems, we establish some new iteration methods for solving double saddle point problems by means of a suitable partitioning strategy. Convergence analysis of the corresponding BASI iteration methods indicates that they are convergent unconditionally under certain weak requirements for the related matrix splittings, which are satisfied directly for our specific application to double saddle point problems. Numerical examples for liquid crystal director and time-harmonic eddy current models are presented to demonstrate the efficiency of the proposed BASI preconditioners to accelerate the GMRES method.

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A class of block alternating splitting implicit iteration methods for double saddle point linear systems

Dou

Liang

2022

Numerical Linear Algebra App

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A generalized relaxed block positive-semidefinite splitting preconditioner for generalized saddle point linear system

Li,

Meng,

Miao

2024

Indian J Pure Appl Math

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Semiconvergence of the extended PSS method for singular generalized saddle point problems

Masoudi

Salkuyeh

2021

International Journal of Computer Mathematics

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An extension of the positive-definite and skew-Hermitian splitting method for preconditioning of generalized saddle point problems

Cited by 5 publications

References 66 publications

A class of block alternating splitting implicit iteration methods for double saddle point linear systems

A class of block alternating splitting implicit iteration methods for double saddle point linear systems

A generalized relaxed block positive-semidefinite splitting preconditioner for generalized saddle point linear system

Semiconvergence of the extended PSS method for singular generalized saddle point problems

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