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Analysis of Pairwise Pivoting in Gaussian Elimination

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1 Author(s)
Sorensen, D.C. ; Division of Mathematics and Computer Science, Argonne National Laboratory

The method of Gaussian elimination using triangularization by elementary stabilized matrices constructed by pairwise pivoting is analyzed. It is shown that a variant of this scheme which is suitable for implementation on a paralle computer is numerically stable although the bound is larger than the one for the standard partial pivoting algorithm.

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Computers, IEEE Transactions on  (Volume:C-34 ,  Issue: 3 )