scholarly journals A connection between orthogonal polynomials on the unit circle and matrix orthogonal polynomials on the real line

2003 ◽  
Vol 154 (2) ◽  
pp. 247-272 ◽  
Author(s):  
M.J Cantero ◽  
M.P Ferrer ◽  
L Moral ◽  
L Velázquez
Keyword(s):  
Orthogonal Polynomials ◽  
Unit Circle ◽  
Real Line ◽  
The Real ◽  
Matrix Orthogonal Polynomials

scholarly journals New Stability Criteria for Discrete Linear Systems Based on Orthogonal Polynomials

Mathematics ◽  
2020 ◽  
Vol 8 (8) ◽  
pp. 1322
Author(s):  
Luis E. Garza ◽  
Noé Martínez ◽  
Gerardo Romero
Keyword(s):  
Orthogonal Polynomials ◽  
Unit Circle ◽  
Linear Systems ◽  
Real Line ◽  
Stability Criteria ◽  
The Real ◽  
Discrete Linear Systems ◽  
New Criterion ◽  
Schur Stability

A new criterion for Schur stability is derived by using basic results of the theory of orthogonal polynomials. In particular, we use the relation between orthogonal polynomials on the real line and on the unit circle known as the Szegő transformation. Some examples are presented.

scholarly journals A CMV connection between orthogonal polynomials on the unit circle and the real line

2021 ◽  
pp. 105579
Author(s):  
M.J. Cantero ◽  
F. Marcellán ◽  
L. Moral ◽  
L. Velázquez
Keyword(s):  
Orthogonal Polynomials ◽  
Unit Circle ◽  
Real Line ◽  
The Real

scholarly journals Christoffel Transformations for Matrix Orthogonal Polynomials in the Real Line and the non-Abelian 2D Toda Lattice Hierarchy

2016 ◽  
pp. rnw027 ◽  
Author(s):  
Carlos Álvarez-Fernández ◽  
Gerardo Ariznabarreta ◽  
Juan Carlos García-Ardila ◽  
Manuel Mañas ◽  
Francisco Marcellán
Keyword(s):  
Orthogonal Polynomials ◽  
Real Line ◽  
Toda Lattice ◽  
The Real ◽  
Matrix Orthogonal Polynomials ◽  
Toda Lattice Hierarchy
Sign in / Sign up

Export Citation Format

Share Document