IntervalMatrix -- a class of all interval matrices

Description

This type is a new type of List, and it works as a matrix with interval entries.

The function intervalMatrix can be used to access this type.

i1 : m = intervalMatrix {{interval(1,2), interval(2,3)},{interval(3,4),interval(1,3)}}

o1 = {{[1, 2], [2, 3]}, {[3, 4], [1, 3]}}

o1 : IntervalMatrix

NumericalCertification supports the multiplication of interval matrices.

i2 : n = intervalMatrix {{interval(1,2), interval(.2,.5)},{interval(2,3),interval(-2,-1)}};

i3 : m*n

o3 = {{[5, 13], [-5.8, -1]}, {[5, 17], [-5.4, 1]}}

o3 : IntervalMatrix

Functions and methods returning an object of class IntervalMatrix :

intervalMatrix -- construct an interval matrix from the given list

Methods that use an object of class IntervalMatrix :

"intervalMatrixNorm(IntervalMatrix)" -- see intervalMatrixNorm -- compute the infinity norm for interval matrix.

For the programmer

The object IntervalMatrix is a type, with ancestor classes List < VisibleList < BasicList < Thing.