New Formulae for Multiplication of Intervals

The paper treats the problem of interval multiplication for the case where the product interval has to be in affine form. New formulae for multiplication of independent intervals, given in endpoint form or in affine form, are suggested which provide a result without overestimation. The case of multiplication of dependent intervals in affine form is also considered. A new multiplication rule is proposed which leads to smaller overestimation in comparison with other previously known results.

• Type: Journal
• Year: 2006
• Where: RC
• Authors: Lubomir V. Kolev
• Keywords: Affine Form, Interval Multiplication, Product Interval, RC 2006