In this paper, we will consider the convergence of iterative refinement for a linear equation Av = b, (1) where A ∈ Fn×n and b ∈ Fn. Here, F is a set of floating point numbers. Let u be the unit round-off of the working precision and κ(A) = ∥A∥∞∥A−1∥ ∞ be the condition number of th
A statistical approach to the study of the stability of a stationary iterative method for solving a ...
Improving the solvability of ILL-conditioned systems of linear equations by reducing the condition n...
summary:We consider iterative schemes applied to systems of linear ordinary differential equations a...
We present the design and testing of an algorithm for iterative refinement of the solution of linear...
Iterative refinement is a long-standing technique for improving the accuracy of a computed solution ...
We propose a general algorithm for solving a $n\times n$ nonsingular linear system $Ax = b$ based on...
AbstractIn this paper, the analysis of the dynamic system for iterative improvement of a solution is...
The technique of iterative refinement for improving the computed solution to a linear sys-tem was us...
The technique of iterative refinement for improving the computed solution to a linear system was use...
An iterative method is a mathematical procedure in computational mathematics. It had been used to ge...
The Reliable Computing journal has no more paper publication, only free, electronic publication.Inte...
Stability analysis of Wilkinson’s iterative refinement method IR(ω) with a relaxation parameter ω f...
Iterative refinement is a well-known technique for improving the quality of an approximate solution ...
International audienceGiven a full column rank matrix A ∈ R m×n (m ≥ n), we consider a special class...
Abstract. In a recent paper, Dax has given numerical evidence of the advantages of using a modified ...
A statistical approach to the study of the stability of a stationary iterative method for solving a ...
Improving the solvability of ILL-conditioned systems of linear equations by reducing the condition n...
summary:We consider iterative schemes applied to systems of linear ordinary differential equations a...
We present the design and testing of an algorithm for iterative refinement of the solution of linear...
Iterative refinement is a long-standing technique for improving the accuracy of a computed solution ...
We propose a general algorithm for solving a $n\times n$ nonsingular linear system $Ax = b$ based on...
AbstractIn this paper, the analysis of the dynamic system for iterative improvement of a solution is...
The technique of iterative refinement for improving the computed solution to a linear sys-tem was us...
The technique of iterative refinement for improving the computed solution to a linear system was use...
An iterative method is a mathematical procedure in computational mathematics. It had been used to ge...
The Reliable Computing journal has no more paper publication, only free, electronic publication.Inte...
Stability analysis of Wilkinson’s iterative refinement method IR(ω) with a relaxation parameter ω f...
Iterative refinement is a well-known technique for improving the quality of an approximate solution ...
International audienceGiven a full column rank matrix A ∈ R m×n (m ≥ n), we consider a special class...
Abstract. In a recent paper, Dax has given numerical evidence of the advantages of using a modified ...
A statistical approach to the study of the stability of a stationary iterative method for solving a ...
Improving the solvability of ILL-conditioned systems of linear equations by reducing the condition n...
summary:We consider iterative schemes applied to systems of linear ordinary differential equations a...
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