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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

On stable calculation of linear functionals


Author: Sven-Ake Gustafson
Journal: Math. Comp. 33 (1979), 694-704
MSC: Primary 65J05; Secondary 65D30
MathSciNet review: 521283
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Abstract: In this paper we discuss the recurrent task of evaluating a linear functional defined by (generally infinitely many) linear constraints. We develop a theory for the stability of this problem and suggest a regularization procedure, based on orthogonal expansions. Simple and efficient computational schemes for evaluating the functional numerically are given.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1979-0521283-0
PII: S 0025-5718(1979)0521283-0
Keywords: Linear functionals, moment condition, linear space, error bound, duality lemma
Article copyright: © Copyright 1979 American Mathematical Society