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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


Random quadratic forms

Authors: John Gregory and H. R. Hughes
Journal: Trans. Amer. Math. Soc. 347 (1995), 709-717
MSC: Primary 47B80; Secondary 34B24, 34C10, 34F05
MathSciNet review: 1254841
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Abstract: The results of Boyce for random Sturm-Liouville problems are generalized to random quadratic forms. Order relationships are proved between the means of eigenvalues of a random quadratic form and the eigenvalues of an associated mean quadratic form. Finite-dimensional and infinite-dimensional examples that show these are the best possible results are given. Also included are some results for a general approximation theory for random quadratic forms.

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Additional Information

PII: S 0002-9947(1995)1254841-4
Keywords: Sturm-Liouville problem, random eigenvalues, continuity of eigenvalues
Article copyright: © Copyright 1995 American Mathematical Society

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