scholarly journals Parameterized rotated block preconditioning techniques for block two-by-two systems with application to complex linear systems

2015 ◽  
Vol 70 (12) ◽  
pp. 2946-2957 ◽  
Author(s):  
Min-Li Zeng ◽  
Guo-Feng Zhang
Keyword(s):  
Linear Systems ◽  
Preconditioning Techniques ◽  
Block Preconditioning ◽  
Two Systems ◽  
Complex Linear

On the rectangular fuzzy complex linear systems

2020 ◽  
Vol 91 ◽  
pp. 106196 ◽  
Author(s):  
M. Ghanbari ◽  
T. Allahviranloo ◽  
W. Pedrycz
Keyword(s):  
Linear Systems ◽  
Complex Linear

scholarly journals Three theorems on hierarchical decomposition of similarity linear systems

2004 ◽  
Vol 17 (2) ◽  
pp. 241-249
Author(s):  
Yuan-Wei Jing ◽  
Jun Zhao ◽  
Mile Stankovski ◽  
Georgi Dimirovski
Keyword(s):  
Dynamical Systems ◽  
Linear Systems ◽  
Hierarchical Structures ◽  
Hierarchical Decomposition ◽  
Linear Dynamical Systems ◽  
System Decomposition ◽  
Complex Linear

In this paper the problem of system decomposition of complex linear dynamical systems biy exploiting the similarity property is studied. System decompositions are sought in terms of similarity hierarchical structures. The method for constructing the transformation is derived. The conditions for such decomposition of complex linear systems are given.

Preconditioning Techniques for Nonsymmetric Linear Systems in the Computation of Incompressible Flows

2009 ◽  
Vol 76 (2) ◽  
Author(s):  
Murat Manguoglu ◽  
Ahmed H. Sameh ◽  
Faisal Saied ◽  
Tayfun E. Tezduyar ◽  
Sunil Sathe
Keyword(s):  
Linear Systems ◽  
Krylov Subspace ◽  
Incompressible Flows ◽  
Stokes Equations ◽  
Handling Time ◽  
Navier Stokes ◽  
Preconditioning Techniques ◽  
Navier Stokes Equations ◽  
Nonsymmetric Linear Systems ◽  
Steady State Solutions

In this paper we present effective preconditioning techniques for solving the nonsymmetric systems that arise from the discretization of the Navier–Stokes equations. These linear systems are solved using either Krylov subspace methods or the Richardson scheme. We demonstrate the effectiveness of our techniques in handling time-accurate as well as steady-state solutions. We also compare our solvers with those published previously.

Block Preconditioning Techniques for Geophysical Electromagnetics

2020 ◽  
Vol 42 (3) ◽  
pp. B696-B721
Author(s):  
H. Bin Zubair Syed ◽  
C. Farquharson ◽  
S. MacLachlan
Keyword(s):  
Preconditioning Techniques ◽  
Block Preconditioning
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