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Recursive computation of generalised Zernike polynomials
(Elsevier B.V., 2017-03-01)
An algorithmic approach for generating generalised Zernike polynomials by differential operators and connection matrices is proposed. This is done by introducing a new order of generalised Zernike polynomials such that it ...
Explicit matrix inverses for lower triangular matrices with entries involving Jacobi polynomials
(Academic Press Inc Elsevier Science, 2014-04)
For a two-parameter family of lower triangular matrices with entries involving Jacobi polynomials an explicit inverse is given, with entries involving a sum of two Jacobi polynomials. The formula simplifies in the Gegenbauer ...
Polinômios ortogonais clássicos: uma abordagem matricial
(Universidade Estadual Paulista (UNESP), 2019-02-27)
Neste trabalho estudamos uma construção dos polinômios ortogonais usando uma abordagem matricial. Para isto, consideramos algumas propriedades de uma determinada classe de matrizes infinitas que possuem papel importante na ...
A new LMI condition for robust stability of polynomial matrix polytopes
(Ieee-inst Electrical Electronics Engineers IncNew YorkEUA, 2002)
Standard Polynomials And Matrices With Superinvolutions
(Elsevier Science INCNew York, 2016)
Standard Polynomials And Matrices With Superinvolutions
(ELSEVIER SCIENCE INCNEW YORK, 2016)
Direct Computation of Operational Matrices for Polynomial Bases
(HINDAWI PUBLISHING CORPORATION, 2010)
Several numerical methods for boundary value problems use integral and differential operational matrices, expressed in polynomial bases in a Hilbert space of functions. This work presents a sequence of matrix operations ...
Gradings on the algebra of upper triangular matrices and their graded identities
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2004)
Explicit formulas for OPUC and POPUC associated with measures which are simple modifications of the Lebesgue measure
(2015-11-15)
We consider nontrivial probability measures, obtained as simple modifications of the Lebesgue measure, which include mass points at z=1 and z=i. The orthogonal polynomials, para-orthogonal polynomials and Toeplitz matrices ...