An application of approximation theory to an error estimate in linear algebra
HTML articles powered by AMS MathViewer
- by Geneva G. Belford and E. H. Kaufman PDF
- Math. Comp. 28 (1974), 711-712 Request permission
Abstract:
Recently developed theorems characterizing best uniform approximations from a family with a fixed point are shown to be useful in the estimation of errors in computational techniques for solving linear algebraic equations. Specifically, a gap in the proof of a published theorem is filled in.References
- Shmuel Kaniel, Estimates for some computational techniques in linear algebra, Math. Comp. 20 (1966), 369–378. MR 234618, DOI 10.1090/S0025-5718-1966-0234618-4
- E. H. Kaufman Jr. and Geneva G. Belford, A generalization of the varisolvency and unisolvency properties, J. Approximation Theory 7 (1973), 21–35. MR 346390, DOI 10.1016/0021-9045(73)90048-8
Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Math. Comp. 28 (1974), 711-712
- MSC: Primary 65F10
- DOI: https://doi.org/10.1090/S0025-5718-1974-0375755-8
- MathSciNet review: 0375755