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Graded identities of block-triangular matrices
(Academic Press Inc Elsevier Science, 2016)
Let F be an infinite field and UT(d(1),..., d(n)) be the algebra of upper block-triangular matrices over F. In this paper we describe a basis for the C-graded polynomial identities of UT(d(1),..., d(n)), with an elementary ...
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 ...
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 ...
The determinant of matching matrix in the evaluation of matching polynomialThe determinant of matching matrix in the evaluation of matching polynomial
(Universidad de Costa Rica, Centro de Investigación en Matemática Pura y Aplicada (CIMPA), 2002)
Construction of shape functions for the h- and p-versions of the FEM using tensorial product
(John Wiley & Sons LtdChichesterInglaterra, 2007)
Gradings on the algebra of upper triangular matrices and their graded identities
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2004)
Perturbations on the antidiagonals of Hankel matrices
(2013-08-12)
Given a strongly regular Hankel matrix, and its associated sequence of moments which defines a quasi-definite moment linear functional, we study the perturbation of a fixed moment, i.e., a perturbation of one antidiagonal ...
Perturbations on the antidiagonals of Hankel matrices
(2013-08-12)
Given a strongly regular Hankel matrix, and its associated sequence of moments which defines a quasi-definite moment linear functional, we study the perturbation of a fixed moment, i.e., a perturbation of one antidiagonal ...