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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

An application of approximation theory to an error estimate in linear algebra


Authors: Geneva G. Belford and E. H. Kaufman
Journal: Math. Comp. 28 (1974), 711-712
MSC: Primary 65F10
MathSciNet review: 0375755
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Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

  • [1] S. Kaniel, "Estimates for some computational techniques in linear algebra," Math. Comp., v. 20, 1966, pp. 369-378. MR 38 #2934. MR 0234618 (38:2934)
  • [2] E. H. Kaufman, Jr. & G. G. Belford, "A generalization of the varisolvency and unisolvency properties," J. Approximation Theory, v. 7, 1973, pp. 21-35. MR 0346390 (49:11115)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1974-0375755-8
PII: S 0025-5718(1974)0375755-8
Keywords: Uniform approximation, numerical linear algebra, best approximation, least-squares solution
Article copyright: © Copyright 1974 American Mathematical Society