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Variations on the Gram–Schmidt and the Huang algorithms for linear systems: A numerical study. (English) Zbl 0783.65029
Results of extensive numerical experiments with algorithms for linear systems based on $$LQ$$, $$QR$$, and Huang type methods are presented. It is shown that the best modified Huang algorithms are essentially as good as the doubly iterated Gram-Schmidt algorithm, applied on the rows of the coefficient matrix and coupled with the $$ABS$$ update formula. They are generally more accurate than the stabilized Gram-Schmidt algorithm and the algorithms based on the $$QR$$ factorization.

##### MSC:
 65F10 Iterative numerical methods for linear systems
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##### References:
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