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- W331586581 abstract "Real or complex analysis is concerned with the study of transformations of a real or complex number into a number of the same type. Similarly, interval analysis deals with transformations of one interval into another. This chapter discusses the transformations of single real or interval variables. Values of a real transformation or an interval transformation are not obtained exactly, and these transformation errors are because of several sources such as inexact knowledge of the data, truncation error from replacement of the given transformation by a computable one, and roundoff error in the actual arithmetic calculations. Interval analysis provides a means of dealing with transformation errors by use of interval extensions of real and interval transformations. The chapter also discusses the optimization of the calculation of interval integrals of real and interval functions. Optimization of interval computations with respect to accuracy is taken to be equivalent to the minimization of the distance between the theoretical result and the result actually obtained. Optimization of interval calculation with respect to speed is synonymous with the reduction of computational time by as much as possible. It is important to optimize interval computations as much as possible with respect to speed and accuracy just as in the case of the computation of real and complex transformations." @default.
- W331586581 created "2016-06-24" @default.
- W331586581 creator A5080294343 @default.
- W331586581 date "1980-01-01" @default.
- W331586581 modified "2023-09-26" @default.
- W331586581 title "OPTIMIZATION OF INTERVAL COMPUTATION" @default.
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- W331586581 doi "https://doi.org/10.1016/b978-0-12-518850-0.50041-x" @default.
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