Iterative refinement implies numerical stability

Author:

Jankowski M.,Woźniakowski H.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Computer Networks and Communications,Software

Reference8 articles.

1. Å. Björck,Solving Linear Least Squares Problems by Gram-Schmidt Orthogonalization, BIT (1967), 1–21.

2. A. Kieybasinski,Numerical Analysis of the Gram-Schmidt Orthogonalization Algorithm, Mat. Stosowana 2 (1974), 15–35 (in Polish).

3. C. B. Moler,Iterative Refinement in Floating Point, Journal of the ACM, Vol. 14 (1967), 316–321.

4. P. Pohl,Iterative Improvement Without Double Precision in a Boundary Value Problem, BIT 14 (1974), 361–365.

5. J. H. Wilksinson,Rounding Errors in Algebraic Processes, Prentice-Hall, Englewood Cliffs, N.J., 1963.

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