PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 67(81), pp. 85--91 (2000)
Numerical bounds for inverses of linear operators
H.-J. DobnerMatematisches Institut II, Universität Karlsruhe, Karlsruhe, Germany
Abstract: An effective way of computing bounds for inverses of linear operators is discussed. It involves computing very fast a bound for the inverse of linear Volterra and Fredholm integral operators. This approach covers a wide class of ordinary and partial initial and boundary value problems. It is demonstrated that this concept is feasible in the framework of computer algebra systems.
Keywords: Numerical bounds, inverse operator, computer algebra system
Classification (MSC2000): 45L10; 65G10
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Electronic fulltext finalized on: 21 Dec 2000. This page was last modified: 16 Nov 2001.
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