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Minimization of certain cost functions with error bounds

✍ Scribed by Byron Drachman

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
193 KB
Volume
23
Category
Article
ISSN
0168-9274

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✦ Synopsis

Suppose that a cost function can be represented by a generalized polynomial in its design parameters with positive coefficients. The parameters are positive quantities raised to positive or negative powers in the generalized polynomial. We show that a result of Duffin allows error bounds when using Newton's method to find the minimum cost.

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We study the kernel of the remainder term of Gauss quadrature rules for analytic functions with respect to one class of Bernstein-SzegΓΆ weight functions. The location on the elliptic contours where the modulus of the kernel attains its maximum value is investigated. This leads to effective error bou