Orthogonal matrices are a fundamental mathematical concept with widespread applications in various scientific and engineering fields. Formed by rows and columns, an orthogonal matrix is a square ...

The closest unitary matrix, measured in Euclidean norm, to a given rectangular matrix A is known to be the unitary factor in the polar decomposition of A. The paper gives a family of iterative methods ...

This article presents an algorithm for constructing orthogonal Latin hypercubes, given a fixed sample size, in more dimensions than previous approaches. In addition, we detail a method that ...