3Interval vectors, interval matrices
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]i ∈ 𝕀ℝ, i = 1, …, n, and
is a real m × n interval matrix with entries [a]ij ∈ 𝕀ℝ, i = 1, …, m, j = 1, …, n. The set of all real interval vectors with n components is denoted by 𝕀ℝn, that of all real m × n interval matrices by 𝕀ℝm×n. Analogously to Chapter 2 we use the notation 𝕀(S) for S ⊆ ℝn or S ⊆ ℝm × n.
We call n and m × n the dimension of ...