On constructing orthogonal generalized doubly stochastic matrices
Numerical Analysis
2018-09-21 v1
Abstract
A real quadratic matrix is generalized doubly stochastic (g.d.s.) if all of its row sums and column sums equal one. We propose numerically stable methods for generating such matrices having possibly orthogonality property or/and satisfying Yang-Baxter equation (YBE). Additionally, an inverse eigenvalue problem for finding orthogonal generalized doubly stochastic matrices with prescribed eigenvalues is solved here. The tests performed in \textsl{MATLAB} illustrate our proposed algorithms and demonstrate their useful numerical properties.
Cite
@article{arxiv.1809.07618,
title = {On constructing orthogonal generalized doubly stochastic matrices},
author = {Gianluca Oderda and Alicja Smoktunowicz and Ryszard Kozera},
journal= {arXiv preprint arXiv:1809.07618},
year = {2018}
}
Comments
20 pages