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On iterative refinement of triangular linear algebraic systems
Authors:Nai-Kuan Tsao
Affiliation:Department of Mathematics, Computer Science Section Wayne State University, Detroit, Michigan, USA
Abstract:In this paper the “convergence” of an iterative refinement procedure for solving triangular linear algebraic systems is proved. The application of this procedure to the “accurate” LU decomposition of near-singular systems is described. A simple numerical example illustrates the theory.
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