scholarly journals Matrix orthogonal Laurent polynomials on the unit circle and Toda type integrable systems

2014 ◽  
Vol 264 ◽  
pp. 396-463 ◽  
Author(s):  
Gerardo Ariznabarreta ◽  
Manuel Mañas
Keyword(s):  
Unit Circle ◽  
Integrable Systems ◽  
Laurent Polynomials ◽  
Orthogonal Laurent Polynomials

scholarly journals Sequences of orthogonal Laurent polynomials, bi-orthogonality and quadrature formulas on the unit circle

2007 ◽  
Vol 206 (2) ◽  
pp. 950-966 ◽  
Author(s):  
Ruymán Cruz-Barroso ◽  
Leyla Daruis ◽  
Pablo González-Vera ◽  
Olav NjÅstad
Keyword(s):  
Unit Circle ◽  
Quadrature Formulas ◽  
Laurent Polynomials ◽  
Orthogonal Laurent Polynomials

scholarly journals Orthogonal Polynomials On Ellipses And Their Recurrence Relations

2014 ◽  
Vol 47 (1) ◽  
Author(s):  
Vasile Lauric
Keyword(s):  
Orthogonal Polynomials ◽  
Unit Circle ◽  
Recurrence Relations ◽  
Matrix Representation ◽  
Coordinate Function ◽  
Laurent Polynomials ◽  
Orthogonal Laurent Polynomials ◽  
The Matrix

AbstractIn this note we study the connection between orthogonal polynomials on an ellipse and orthogonal Laurent polynomials on the unit circle relative to some multiplicative measures and then establish the recurrence relations for orthogonal polynomials on an ellipse. The matrix representation of the operator of multiplication by coordinate function is obtained

scholarly journals Matrix-valued Laurent polynomials, parametric linear systems and integrable systems

2020 ◽  
Vol 357 (10) ◽  
pp. 6257-6279
Author(s):  
Nancy López-Reyes ◽  
Raul Felipe-Sosa ◽  
Raul Felipe
Keyword(s):  
Linear Systems ◽  
Integrable Systems ◽  
Laurent Polynomials
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