Fundamentals of Numerical Computation (Computer-Oriented Numerical Analysis)

Volume 2 of the series Computing Supplementum pp 69-84

Some Applications of Extended Interval Arithmetic to Interval Iterations

  • S. M. MarkovAffiliated withMathematisches Institut, Bulgarische Akademie der Wissenschaften

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The calculation of united extensions of real functions of one variable by means of primitive interval Operations is considered. It is demonstrated that extended interval arithmetic is a convenient tool for treating this problem. Some direct applications of the results obtained to interval iteration procedures are given.