Generalized successive overrelaxation iterative method for a class of complex symmetric linear system of equations

2014 ◽  
Vol 92 (4) ◽  
pp. 802-815 ◽  
Author(s):  
Davod Khojasteh Salkuyeh ◽  
Davod Hezari ◽  
Vahid Edalatpour
Keyword(s):  
Linear System ◽  
Iterative Method ◽  
System Of Equations ◽  
Successive Overrelaxation ◽  
Linear System Of Equations ◽  
Complex Symmetric Linear System ◽  
Complex Symmetric ◽  
Overrelaxation Iterative Method

scholarly journals An Iterative Method for Symmetric Positive Semidefinite Linear System of Equations

2014 ◽  
Vol 47 (2) ◽  
Author(s):  
Davod Khojasteh Salkuyeh
Keyword(s):  
Linear System ◽  
Iterative Method ◽  
Numerical Experiments ◽  
Positive Semidefinite ◽  
Sufficient Condition ◽  
System Of Equations ◽  
Linear System Of Equations

AbstractIn this paper, a new two-step iterative method for solving symmetric positive semidefinite linear system of equations is presented. A sufficient condition for the semiconvergence of the method is also given. Some numerical experiments are presented to show the efficiency of the proposed method.

scholarly journals Properweak regular splitting and its application to convergence of alternating iterations

Filomat ◽  
2018 ◽  
Vol 32 (19) ◽  
pp. 6563-6573 ◽  
Author(s):  
Debasisha Mishra
Keyword(s):  
Linear System ◽  
Convergence Rate ◽  
Iterative Method ◽  
Linear Systems ◽  
Iterative Scheme ◽  
Convergence Theory ◽  
System Of Equations ◽  
Comparison Result ◽  
Linear System Of Equations ◽  
Regular Splitting

Theory of matrix splittings is a useful tool for finding the solution of a rectangular linear system of equations, iteratively. The purpose of this paper is two-fold. Firstly, we revisit the theory of weak regular splittings for rectangular matrices. Secondly, we propose an alternating iterative method for solving rectangular linear systems by using the Moore-Penrose inverse and discuss its convergence theory, by extending the work of Benzi and Szyld [Numererische Mathematik 76 (1997) 309-321; MR1452511]. Furthermore, a comparison result is obtained which ensures the faster convergence rate of the proposed alternating iterative scheme.

scholarly journals A Higher Order Iterative Method for Computing the Drazin Inverse

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
F. Soleymani ◽  
Predrag S. Stanimirović
Keyword(s):  
Linear System ◽  
Convergence Rate ◽  
Iterative Method ◽  
Drazin Inverse ◽  
System Of Equations ◽  
Linear System Of Equations ◽  
High Convergence Rate ◽  
Approximate Inverses ◽  
Nonsingular Matrices ◽  
Test Matrices

A method with high convergence rate for finding approximate inverses of nonsingular matrices is suggested and established analytically. An extension of the introduced computational scheme to general square matrices is defined. The extended method could be used for finding the Drazin inverse. The application of the scheme on large sparse test matrices alongside the use in preconditioning of linear system of equations will be presented to clarify the contribution of the paper.

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