One-sided Non-symmetric Matrix Decomposition by Means of Perturbed Rotations

Abstract

In the paper, a novel decomposition technique of a non-symmetric real square matrix is presented. The algorithm is a generalization of QR Givens rotations technique by means of matrices provisionally called perturbed rotations. It is described in detail and summarized in algorithmic steps. Its existence conditions are given. The orthogonal matrix case is discussed. To illustrate the algorithm, a simple exemplary matrix decomposition is included.