Evaluation Ranges of Functions using Balanced Random Interval Arithmetic

Evaluation Ranges of Functions using Balanced Random Interval Arithmetic

The results of experimental testing of balanced random interval arithmetic with typical mathematical test functions and practical problem are presented and discussed. The possibility of evaluation ranges of functions using balanced random interval arithmetic is investigated. The influence of the predefined probabilities of standard and inner interval operations to the ranges of functions is exp...

Estimation of Functional Ranges Using Standard and Inner Interval Arithmetic

New ways to estimate ranges of values of functions from standard and inner interval arithmetic have been proposed. Using the proposed ways ranges of values of mathematical test functions for global optimization and of objective functions for practical global optimization problems have been estimated and compared. Results of the experiments show that it is promising to use proposed balanced inte...

Improved Interval Bounds for Ranges of Functions

Precise Zeros of Analytic Functions Using Interval Arithmetic

An interval arithmetic algorithm for the computation of the zeros of an analytic function inside a given rectangle is presented. It is based on the argument principle in the set of complex numbers C, is guaranteed to converge, and delivers its answers to a prespecified accuracy. The precision of computation is varied dynamically to maximize efficiency. Предлагается алгоритм на базе интервальной...

Using Arithmetic Transform to Calculate Ranges of Arithmetic Datapaths

Range analysis is used to optimize circuits and to allocate the bit-width. In this paper we introduce a new and efficient static method to analyze the datapath represented by a polynomial, and compute the range for the datapath, then yield the smallest output bit-width. The method is based on Arithmetic Transform which can guarantee accuracy, and can explore polynomials with single or multiple ...