A modified block preconditioner for complex nonsymmetric indefinite linear systems

2019 ◽  
Vol 358 ◽  
pp. 455-467
Author(s):  
Hong-Tao Fan ◽  
Yan-Jun Zhang ◽  
Ya-Jing Li
Keyword(s):  
Linear Systems ◽  
Block Preconditioner ◽  
Modified Block ◽  
Indefinite Linear Systems

scholarly journals Numerically Aware Orderings for Sparse Symmetric Indefinite Linear Systems

2017 ◽  
Vol 44 (2) ◽  
pp. 1-22
Author(s):  
Jonathan Hogg ◽  
Jennifer Scott ◽  
Sue Thorne
Keyword(s):  
Linear Systems ◽  
Indefinite Linear Systems

A Data-Parallel ILUPACK for Sparse General and Symmetric Indefinite Linear Systems

2017 ◽  
pp. 121-133
Author(s):  
José I. Aliaga ◽  
Matthias Bollhöfer ◽  
Ernesto Dufrechou ◽  
Pablo Ezzatti ◽  
Enrique S. Quintana-Ortí
Keyword(s):  
Linear Systems ◽  
Data Parallel ◽  
Indefinite Linear Systems

A Convergence Analysis of the MINRES Method for Some Hermitian Indefinite Systems

2017 ◽  
Vol 7 (4) ◽  
pp. 827-836
Author(s):  
Ze-Jia Xie ◽  
Xiao-Qing Jin ◽  
Zhi Zhao
Keyword(s):  
Convergence Analysis ◽  
Linear Systems ◽  
Numerical Experiments ◽  
Coefficient Matrix ◽  
Indefinite Systems ◽  
Indefinite Linear Systems ◽  
Theoretical Results

AbstractSome convergence bounds of the minimal residual (MINRES) method are studied when the method is applied for solving Hermitian indefinite linear systems. The matrices of these linear systems are supposed to have some properties so that their spectra are all clustered around ±1. New convergence bounds depending on the spectrum of the coefficient matrix are presented. Some numerical experiments are shown to demonstrate our theoretical results.

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