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On the condition number of certain Rayleigh-Ritz-Galerkin matrices

Published online by Cambridge University Press:  17 April 2009

Bernard J. Omodei
Bernard J. Omodei
Affiliation:
Department of Mathematics, University of Manchester, Manchester, England.
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Abstract

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Martin H. Schultz [Bull. Amer. Math. Soc. 76 (1970), 840–844] has investigated the spectral condition number of the Rayleigh-Ritz-Galerkin matrices that arise when normalized B-spline coordinate functions are used to approximate the solution of a class of linear, self-adjoint, elliptic boundary value problems in one dimension. This paper shows how results analogous to those of Schultz [op. cit.] can be established under weaker assumptions. We also extend the results to boundary value problems in higher dimensions.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 15 , Issue 3 , December 1976 , pp. 329 - 338
Copyright
Copyright © Australian Mathematical Society 1976

References

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