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On Schur complements and n-metaharmonic functions

Published online by Cambridge University Press:  14 November 2011

Edward C. Nichols  and
Ronald L. Smith
Edward C. Nichols
Affiliation:
Department of Mathematics, The University of Tennessee at Chattanooga Chattanooga, Tennessee 37403, U.S.A
Ronald L. Smith
Affiliation:
Department of Mathematics, The University of Tennessee at Chattanooga Chattanooga, Tennessee 37403, U.S.A
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Synopsis

Several properties of symmetric matrices and positive definite matrices are derived. These are used to improve an estimate given for regular solutions of the n-metaharmonic differential equation by Chow and Dunninger [1].

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 119 , Issue 3-4 , 1991 , pp. 233 - 240
Copyright
Copyright © Royal Society of Edinburgh 1991

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References

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