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Factoring certain decic polynomials.
(2011-09-14)
This paper presents a simple method for decomposing and synthesizing certain decic polynomials.
Nilpotent linearized polynomials over finite fields and applications
(Universidade Federal de Minas GeraisBrasilICX - DEPARTAMENTO DE MATEMÁTICAUFMG, 2018)
Seja q uma potência primária e Fqn o corpo finito com elementos qn, onde n> 1. Introduzimos a classe dos polinômios linearizados L (X) sobre Fqn de tal forma que [...], para alguns, são chamados polinômios linearizados ...
Affine solution sets of sparse polynomial systems
(Academic Press Ltd - Elsevier Science Ltd, 2013-04)
This paper focuses on the equidimensional decomposition of affine varieties defined by sparse polynomial systems. For generic systems with fixed supports, we give combinatorial conditions for the existence of positive ...
Matrix-valued orthogonal polynomials related to the quantum analogue of (SU (2) × SU (2) , diag)
(Springer, 2017-06)
Matrix-valued spherical functions related to the quantum symmetric pair for the quantum analogue of (SU (2) × SU (2) , diag) are introduced and studied in detail. The quantum symmetric pair is given in terms of a quantised ...
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 ...
Solving septics in radicals.
(2011-10-13)
A novel method to solve certain solvable septic equations is described. The method involves
conversion of the given septic to an octic equation by adding a root to it, and then decomposing the octic equation into two ...
Matrix-Valued Gegenbauer-Type polynomials
(Springer, 2017-12)
We introduce matrix-valued weight functions of arbitrary size, which are analogues of the weight function for the Gegenbauer or ultraspherical polynomials for the parameter ν> 0. The LDU-decomposition of the weight is ...
Matrix-valued Orthogonal Polynomials Related to (SU(2) × SU(2), SU(2)), II
(Kyoto Univ, 2013-04)
In a previous paper we have introduced matrixvalued analogues of the Chebyshev polynomials by studying matrix-valued spherical functions on SU(2) × SU(2). In particular the matrix-size of the polynomials is arbitrarily ...