Backward error analysis of the extended iterative refinement or improvement algorithm for solving ill conditioned linear system

Author:

Sermé Abdramane

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference17 articles.

1. Babu $$\check{s}$$ s ˇ ka, I.: Numerical stability in mathematical analysis, information processing, 68. In: Proceedings of IFIP Congress, pp. 11–23, North-Holland, Amsterdam (1969)

2. Dekker, T.J.: A floating-point technique for extending the available precision. Numerische Math. 18, 224–242 (1971)

3. Demillo, R.A., Lipton, R.J.: A probabilistic remark on algebraic program testing. Inf. Process. Lett. 7(4), 193–195 (1978)

4. Demmel, J., Hida, Y., Kahan, W., Li, X.S., Mukherjee, S., Riedy, E.J.: Error bound from extra precise iterative refinement, computer science division, technical report UCB//CSD-04-1344. University of California, Berkeley (2005)

5. Golub, G.H., Van Loan, C.F.: Matrix computations, 3rd edn. The Johns Hopkins University Press, Baltimore (1996)

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