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A cooperative conjugate gradient method for linear systems permitting multithread implementation of low complexity
cooperative conjugate gradient method linear systems multithread implementation low complexity Numerical Analysis
2012/4/17
This paper proposes a generalization of the conjugate gradient (CG) method used to solve the equation $Ax=b$ for a symmetric positive definite matrix $A$ of large size $n$. The generalization consists...
A New Preconditioner with Two Variable Relaxation Parameters for Saddle Point Linear Systems with Highly Singular(1,1) Blocks
Saddle Point Linear Systems Block Triangular Preconditioner Krylov Subspace Methods
2013/1/30
In this paper, we provide new preconditioner for saddle point linear systems with (1,1) blocks that have a high nullity. The preconditioner is block triangular diagonal with two variable relaxation pa...
Strong Solutions of the Fuzzy Linear Systems
Fuzzy linear system Fuzzy number Strong solution Nonnegative matrix
2011/10/10
Abstract: We consider a fuzzy linear system with crisp coefficient matrix and with an arbitrary fuzzy number in parametric form on the right-hand side. It is known that the well-known existence and un...
It has been observed that the residual polynomials resulted from successive restarting cycles of GMRES($m$) may differ from one another meaningfully. In this paper, it is further shown that the polyno...
TOTAL GENERALIZED MINIMUM BACKWARD ERROR ALGORITHM FOR SOLVING NONSYMMETRIC LINEAR SYSTEMS
Nonsymmetric linear systems Iterative methods Backward error
2007/12/12
This paper extendes the results by E.M. Kasenally$^{[7]}$ on a
Generalized Minimum Backward Error Algorithm for nonsymmetric linear
systems $Ax=b$ to the problem in which pertubations are simultan...