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Optimal bounds for bilinear forms associated with linear equations (1985)

Mika, J. ; Pack, D. C. ; Cole, R. J. ; [weitere]

Chichester, West Sussex : Wiley-Blackwell

Mathematical Methods in the Applied Sciences 7 (1985), S. 518-531

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Details

ISSN: 0170-4214

Schlagwort(e): Mathematics and Statistics ; Applied Mathematics

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Mathematik

Notizen: The construction of upper and lower bounds to the bilinear quantity g0, f, where f is the solution of an operator equation Tf = f0, requires either an approximation for f or one for T-1. In this paper the question of “best” approximation of T-1 by an operator of the form B = βI, where β is a real constant, is investigated for linear operators that are either self-adjoint or can be related by suitable manipulations to others that are. Particular attention is paid to a special operator, previously studied by Robinson, of importance in predicting the dynamic polarisabilities of quantum-mechanical systems.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/mma.1670070137

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