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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
(2015)
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 ...
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)
A characteristic polynomial factorization: extending some matrix eigenvalue estimates
(Centro de Investigación y Docencia Económicas, División de Economía, 2019)
Standard Polynomials And Matrices With Superinvolutions
(Elsevier Science INCNew York, 2016)
Standard Polynomials And Matrices With Superinvolutions
(ELSEVIER SCIENCE INCNEW YORK, 2016)
Levinson-type algorithms for polynomial fitting and for Cholesky and Q factors of Hankel and Vandermonde matrices
(1995)
This paper presents Levinson (1947)-type algorithms for (i) polynomial fitting (ii) obtaining a Q decomposition of Vandermonde matrices and a Cholesky factorization of Hankel matrices (iii) obtaining the inverse of Hankel ...
Identidades e polinômios centrais com involução para a álgebra de Grassmann e álgebra das matrizes triangulares de ordem 3
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2020-11-30)
Let F be an infinite field of characteristic different from 2. In this thesis we will study the polynomial identities and central polynomials with involution for two important classes of algebras. More precisely, we describe ...