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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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Variation principles for an arbitrary operator. III
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by L. M. Delves PDF
Math. Comp. 19 (1965), 380-386 Request permission

Abstract:

The methods, described in two previous papers, for generating variation principles for the matrix elements of Hermitian operators are extended here in several ways. The method is first extended to cover inhomogeneous equations. A defect of the original formulation, that it involved two trial functions, is removed by rewriting the principle so that one only appears. Finally, variation-iteration schemes are proposed.
References
  • L. M. Delves, A variation principle for arbitrary operators, Nuclear Phys. 41 (1963), 497–503. MR 0149832
  • L. M. Delves, Nuclear Phys., v. 45, 1963, pp. 313–320.
  • D. R. Hartree, Numerical analysis, Oxford, at the Clarendon Press, 1952. MR 0052871
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Additional Information
  • © Copyright 1965 American Mathematical Society
  • Journal: Math. Comp. 19 (1965), 380-386
  • MSC: Primary 81.49
  • DOI: https://doi.org/10.1090/S0025-5718-1965-0207320-1
  • MathSciNet review: 0207320