Publication Date
10-2002
Abstract
We extend the main formulas of interval arithmetic for different arithmetic operations x1*x2 to the case when, for each input xi, in addition to the interval [xi]=[xi-,xi+] of possible values, we also know its mean Ei (or an interval [Ei] of possible values of the mean), and we want to find the corresponding bounds for x1*x2 and its mean.
tr02-12.pdf (101 kB)
Original file: UTEP-CS-02-12
tr02-12a.pdf (331 kB)
Short Version: UTEP-CS-02-12a
Original file: UTEP-CS-02-12
tr02-12a.pdf (331 kB)
Short Version: UTEP-CS-02-12a
Comments
UTEP-CS-02-12b.
Short version published in the Extended Abstracts of 2002 SIAM Workshop on Validated Computing, Toronto, Canada, May 23-25, 2002, pp. 70-72; full paper published in Applied Mathematical Sciences, 2007, Vol. 1, No. 9, pp. 395-440.