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Upper and lower bounds for solutions of linear operator problems with unilateral constraints*

Published online by Cambridge University Press:  14 February 2012

W. D. Collins
W. D. Collins
Affiliation:
Mathematics Research Centre, University of Wisconsin, and Department of Applied Mathematics and Computing Science, University of Sheffield
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Synopsis

Dual extremum principles characterising the solutions of problems for a positive-definite self-adjoint operator on a Hilbert space which involve unilateral constraints are formulated using a Hilbert space decomposition theorem due to Moreau. Various upper and lower bounds to these solutions are then obtained, these bounds involving the solutions to subsidiary problems with less restrictive conditions than the solution to the original problem.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 76 , Issue 2 , 1977 , pp. 95 - 105
Copyright
Copyright © Royal Society of Edinburgh 1977

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