Some Applications of Extended Interval Arithmetic to Interval Iterations
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.
KeywordsReal Function Interval Operator Contraction Mapping Banach Lattice Iteration Scheme
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- Markov, S.: Extended interval arithmetic and some applications. Freiburger Intervall-Berichte 78/4, Institut für Angewandte Mathematik, Univ. Freiburg i. Br. 1978.Google Scholar