Add to ORKGPreconditioned conjugate gradient methods for solving sparse symmetric and positive finite systems of linear equations are described. Necessary and sufficient conditions are given for when these preconditioners can be used and an analysis of their effectiveness is given. Efficient computer implementations of these methods are discussed and results on the CYBER 203 and the Finite Element Machine under construction at NASA Langley Research Center are included
Includes bibliographical references (page 62)A new iterative method for the solution of large, spars...
A numerical study of the efficiency of the modified conjugate gradients (MCG) is performed using dif...
A numerical study of the efficiency of the modified conjugate gradients (MCG) is performed using dif...
This paper describes a preconditioned conjugate gradient method that can be effectively implemented ...
AbstractThe restrictively preconditioned conjugate gradient (RPCG) method for solving large sparse s...
This report presents preconditioning techniques for the conjugate gradient method (CG), an iterative...
Iterative methods for solving large-scale linear systems have been gaining popularity in many areas ...
AbstractLinear systems of the form Ax = b, where the matrix A is symmetric and positive definite, of...
This report presents preconditioning techniques for the conjugate gradient method (CG), an iterative...
We consider the problem of solving a symmetric, positive def-inite system of linear equations. The m...
Abstract: In the paper we consider the iterative solution of linear systemby the conjugate...
Abstract. The Preconditioned Conjugate Gradient (PCG) method has proven to be extremely powerful for...
AbstractWe present a modification of the ILUT algorithm due to Y. Saad for preparing incomplete fact...
AbstractIn this paper we show how an algebraically reduced system can be constructed, for which the ...
Randomized methods are becoming increasingly popular in numerical linear algebra. However, few attem...
Includes bibliographical references (page 62)A new iterative method for the solution of large, spars...
A numerical study of the efficiency of the modified conjugate gradients (MCG) is performed using dif...
A numerical study of the efficiency of the modified conjugate gradients (MCG) is performed using dif...
This paper describes a preconditioned conjugate gradient method that can be effectively implemented ...
AbstractThe restrictively preconditioned conjugate gradient (RPCG) method for solving large sparse s...
This report presents preconditioning techniques for the conjugate gradient method (CG), an iterative...
Iterative methods for solving large-scale linear systems have been gaining popularity in many areas ...
AbstractLinear systems of the form Ax = b, where the matrix A is symmetric and positive definite, of...
This report presents preconditioning techniques for the conjugate gradient method (CG), an iterative...
We consider the problem of solving a symmetric, positive def-inite system of linear equations. The m...
Abstract: In the paper we consider the iterative solution of linear systemby the conjugate...
Abstract. The Preconditioned Conjugate Gradient (PCG) method has proven to be extremely powerful for...
AbstractWe present a modification of the ILUT algorithm due to Y. Saad for preparing incomplete fact...
AbstractIn this paper we show how an algebraically reduced system can be constructed, for which the ...
Randomized methods are becoming increasingly popular in numerical linear algebra. However, few attem...
Includes bibliographical references (page 62)A new iterative method for the solution of large, spars...
A numerical study of the efficiency of the modified conjugate gradients (MCG) is performed using dif...
A numerical study of the efficiency of the modified conjugate gradients (MCG) is performed using dif...