Title
On constructing orthogonal generalized doubly stochastic matrices.
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.
Year
Venue
Field
2018
arXiv: Numerical Analysis
Inverse,Applied mathematics,Discrete mathematics,MATLAB,Matrix (mathematics),Quadratic equation,Orthogonality,Eigenvalues and eigenvectors,Mathematics
DocType
Volume
Citations 
Journal
abs/1809.07618
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Gianluca Oderda100.34
Alicja Smoktunowicz2184.24
Ryszard Kozera316326.54