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

DOI:
https://doi.org/10.1090/S0002-9947-1995-1254841-4

MathSciNet review:
1254841

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Abstract | References | Similar Articles | Additional Information

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

DOI:
https://doi.org/10.1090/S0002-9947-1995-1254841-4

Keywords:
Sturm-Liouville problem,
random eigenvalues,
continuity of eigenvalues

Article copyright:
© Copyright 1995
American Mathematical Society