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Statements

Subject Item
dbr:Iterative_refinement
rdf:type
dbo:Software
rdfs:label
Iterative refinement
rdfs:comment
Iterative refinement is an iterative method proposed by James H. Wilkinson to improve the accuracy of numerical solutions to systems of linear equations. When solving a linear system due to the compounded accumulation of rounding errors, the computed solution may sometimes deviate from the exact solution Starting with iterative refinement computes a sequence which converges to when certain assumptions are met.
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1088341384
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dbr:Gaussian_elimination dbr:Iterative_method dbc:Numerical_linear_algebra dbr:Quadruple-precision_floating-point_format dbr:Cholesky_decomposition dbr:LU_decomposition dbr:James_H._Wilkinson dbr:Uniform_norm dbr:Back_substitution dbr:Round-off_error dbr:Extended_precision dbr:Matrix_decomposition dbr:Approximation_error dbr:Condition_number dbr:Forward_substitution dbr:Machine_epsilon dbr:IEEE_754 dbr:Floating-point_arithmetic dbr:Floating_point dbr:Systems_of_linear_equations
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Iterative refinement is an iterative method proposed by James H. Wilkinson to improve the accuracy of numerical solutions to systems of linear equations. When solving a linear system due to the compounded accumulation of rounding errors, the computed solution may sometimes deviate from the exact solution Starting with iterative refinement computes a sequence which converges to when certain assumptions are met.
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