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Adaptive step adjustment for a stochastic optimization algorithm

โœ Scribed by F. Mirzoakhmedov; S.P. Uryas'ev

Publisher
Elsevier Science
Year
1983
Weight
462 KB
Volume
23
Category
Article
ISSN
0041-5553

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โœฆ Synopsis

This matrix does not satisfy lladamard's test of non-degeneracy, nor does it satisfy Brauer's test, yet it satisfies the conditions of Theorem 17.

Note.

A matrix that satisfies Hadamard's non-degeneracy test will obviously satisfy the conditions of Theorem 17.

Theorem 17 gives an additive analogue of Brauer's non-degeneracy test.

It is easy to construct examples that satisfy Brauer's test yet do not satisfy Theorem 17, and vice versa.

REFERENCES

i. PARODI M., Localization of eigenvalues of matrices and applications /Russian translation/,

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