3Interval vectors, interval matrices

3.1Basics

Interval vectors and interval matrices are defined as vectors and matrices with interval entries. Thus

is a real interval (column) vector with n components [x]i𝕀, i = 1, …, n, and

is a real m × n interval matrix with entries [a]ij𝕀, i = 1, …, m, j = 1, …, n. The set of all real interval vectors with n components is denoted by 𝕀n, that of all real m × n interval matrices by 𝕀m×n. Analogously to Chapter 2 we use the notation 𝕀(S) for Sn or Sm × n.

We call n and m × n the dimension of ...

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