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pro vyhledávání: '"André Pierro de Camargo"'
Autor:
André Pierro de Camargo
Publikováno v:
Biblioteca Digital de Teses e Dissertações da USPUniversidade de São PauloUSP.
O problema de reconstruir uma função f a partir de um número finito de valores conhecidos f(x0), f(x1), ..., f(xn) aparece com frequência em modelagem matemática. Em geral, não é possível determinar f completamente a partir de f(x0), f(x1), .
Autor:
André Pierro de Camargo
Publikováno v:
Biblioteca Digital de Teses e Dissertações da USPUniversidade de São PauloUSP.
Dados composicionais são constituídos por vetores cujas componentes representam as proporções de algum montante, isto é: vetores com entradas positivas cuja soma é igual a 1. Em diversas áreas do conhecimento, o problema de estimar as partes $
Autor:
André Pierro de Camargo
Publikováno v:
Notes on Number Theory and Discrete Mathematics. 29:30-39
We study the properties of two classes of functions $\lambda_k$ and $\tilde{\lambda}_k$ that generalize the Liouville $\lambda$ function, including some equivalencies between the Riemann hypothesis and some assertions about the asymptotic behavior of
Autor:
André Pierro de Camargo
Publikováno v:
Numerical Algorithms. 92:2365-2376
Autor:
André Pierro de Camargo
Publikováno v:
Notes on Number Theory and Discrete Mathematics. 27:180-186
A problem posed by Lehmer in 1938 asks for simple closed formulae for the values of the even Bernoulli polynomials at rational arguments in terms of the Bernoulli numbers. We discuss this problem based on the Fourier expansion of the Bernoulli polyno
Autor:
André Pierro de Camargo
Publikováno v:
Linear Algebra and its Applications. 628:115-129
Dirichlet matrices are strongly connected to some important problems in Number Theory, such as the Prime Number Theorem, the Riemann Hypothesis and Kalmar's Factorisatio Numerorum problem. In this note, we obtain some recurrences for the determinants
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
In this note we exhibit some large sets $$\varTheta _x \subset \{1, 2, \ldots , \lfloor x \rfloor \}$$ such that the sum of the Mobius function over $$\varTheta _x$$ is small and independent of x. We show that the existence of some of these sets are
Autor:
André Pierro de Camargo
Publikováno v:
Journal of Approximation Theory. 287:105867
Publikováno v:
Linear and Multilinear Algebra. 70:909-918
We present some closed form expressions for the Cauchy–Sylvester compound determinant and the determinant of the Adjugate matrix when each minor in their expressions is replaced by some linear func...
Autor:
André Pierro de Camargo
Publikováno v:
Numerical Algorithms. 85:591-606
In this note, we extend the analysis of Camargo (J. Comp. Appl. Math 365, 2020) on the numerical stability of classical Newton’s divided differences to a broader a class of divided differences algorithms that includes Neville’s algorithm for the