In this paper, the unitarily invariant norm ∥·∥ on 𝕔m×n is used. We first discuss the problem under what case, a rectangular matrix A has minimum condition number K(A) = ∥A∥ ∥A⁺∥, where A⁺ designates ...

This paper presents a method for generating pseudo-random orthogonal matrices from the Haar distribution for the group of orthogonal matrices. The random matrices are expressed as products of n - 1 ...