scholarly journals Matrix polynomials orthogonal with respect to a non-symmetric matrix of measures

2016 ◽  
Vol 36 (3) ◽  
pp. 409
Author(s):  
Marcin J. Zygmunt
Keyword(s):  
Symmetric Matrix ◽  
Matrix Polynomials

scholarly journals Generic Symmetric Matrix Polynomials with Bounded Rank and Fixed Odd Grade

2020 ◽  
Vol 41 (3) ◽  
pp. 1033-1058
Author(s):  
Fernando De Terán ◽  
Andrii Dmytryshyn ◽  
Froilán M. Dopico
Keyword(s):  
Symmetric Matrix ◽  
Matrix Polynomials ◽  
Bounded Rank

scholarly journals Skew-symmetric matrix polynomials and their Smith forms

2013 ◽  
Vol 438 (12) ◽  
pp. 4625-4653 ◽  
Author(s):  
D. Steven Mackey ◽  
Niloufer Mackey ◽  
Christian Mehl ◽  
Volker Mehrmann
Keyword(s):  
Symmetric Matrix ◽  
Matrix Polynomials ◽  
Skew Symmetric Matrix

A general inverse matrix series relation and associated polynomials – II

2021 ◽  
Vol 71 (2) ◽  
pp. 301-316
Author(s):  
Reshma Sanjhira
Keyword(s):  
Matrix Polynomial ◽  
Combinatorial Identities ◽  
Inverse Matrix ◽  
Matrix Polynomials ◽  
Special Cases ◽  
Series Representations ◽  
The Matrix ◽  
Associated Polynomials ◽  
Matrix Pair ◽  
Matrix Series

Abstract We propose a matrix analogue of a general inverse series relation with an objective to introduce the generalized Humbert matrix polynomial, Wilson matrix polynomial, and the Rach matrix polynomial together with their inverse series representations. The matrix polynomials of Kiney, Pincherle, Gegenbauer, Hahn, Meixner-Pollaczek etc. occur as the special cases. It is also shown that the general inverse matrix pair provides the extension to several inverse pairs due to John Riordan [An Introduction to Combinatorial Identities, Wiley, 1968].

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