Recent developments in applied mathematics and mechanics: theory, experiment and practice. Devoted to the 80th anniversary of academician N.N.Yanenko

Akademgorodok, Novosibirsk, Russia, June 24 - 29, 2001

Abstracts

Internal evaluating of the ranges of values of functions using affine arithmetic

Akhmerov R.

Altai State University (Barnaul)

In paper a method for internal estimate of the ranges of values of functions is proposed. This method based on using affine arithmetic, which was originally developed for external estimate of the ranges of values. A technique for construction inner estimations is described. The paper gives some applications of internal estimate of ranges of values: monitoring the accuracy of outer estimations, checking the solvability of the systems of nonlinear equations, taking into account the constraints in global optimization tasks.

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Note. Abstracts are published in author's edition

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