scholarly journals Solving dense symmetric indefinite systems using GPUs

2017 ◽  
Vol 29 (9) ◽  
pp. e4055 ◽  
Author(s):  
Marc Baboulin ◽  
Jack Dongarra ◽  
Adrien Rémy ◽  
Stanimire Tomov ◽  
Ichitaro Yamazaki
Keyword(s):  
Indefinite Systems

scholarly journals Pivoting strategies for tough sparse indefinite systems

2013 ◽  
Vol 40 (1) ◽  
pp. 1-19 ◽  
Author(s):  
Jonathan D. Hogg ◽  
Jennifer A. Scott
Keyword(s):  
Indefinite Systems ◽  
Pivoting Strategies

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.

Stability of indefinite systems

2009 ◽  
Vol 42 (2) ◽  
pp. 82-89 ◽  
Author(s):  
I. E. Zuber ◽  
A. Kh. Gelig
Keyword(s):  
Indefinite Systems
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