Search Results - "Castillo, Kenier"

Markov’s Theorem for Weight Functions on the Unit Circle by Castillo, Kenier

“…The aim of this paper is to prove that Markov’s theorem on variation of zeros of orthogonal polynomials on the real line (Markoff in Math Ann 27:177–182, 1886)…”
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A new approach to relative asymptotic behavior for discrete Sobolev-type orthogonal polynomials on the unit circle by Castillo, Kenier

“…In Foulquié et al. (1999) [2], Li and Marcellán (1996) [4], Marcellán and Moral (2002) [5], the relative asymptotic behavior of orthogonal polynomials with…”
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On zeros of polynomials in best Lp-approximation and inserting mass points by Castillo, Kenier, Souza Costa, Marisa de, Rafaeli, Fernando Rodrigo

“…The purpose of this note is to revive in L p spaces the original A. Markov ideas to study monotonicity of zeros of orthogonal polynomials…”
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Generators of rational spectral transformations for nontrivial \mathcal{C}-functions by Castillo, Kenier, Marcellán, Francisco

“…with polynomial coefficients is a finite composition of four canonical spectral transformations.]]>…”
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On a formula of Thompson and McEnteggert for the adjugate matrix by Castillo, Kenier, Zaballa, Ion

“…For an eigenvalue λ0 of a Hermitian matrix A, the formula of Thompson and McEnteggert gives an explicit expression of the adjugate of λ0I−A, Adj(λ0I−A), in…”
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Monotonicity of zeros for a class of polynomials including hypergeometric polynomials by Castillo, Kenier

“…We study the monotonicity of zeros in connection with perturbed recurrence coefficients of polynomials satisfying certain three-term recurrence relations of…”
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On perturbed Szegő recurrences by Castillo, Kenier

“…The purpose of the present contribution is to investigate the effects of finite modifications of Verblunsky coefficients on Szegő recurrences. More precisely,…”
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Narcisismo na comunidade científica: entrevista com Bruno Lemaitre by Kenier Castillo

“…Bruno Lemaitre (nascido a 21 de setembro de 1965 em Lille, França) é imunologista e professor da Escola Politécnica Federal de Lausanne (Suíça). A sua…”
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On co-polynomials on the real line by Castillo, Kenier, Marcellán, Francisco, Rivero, Jorge

“…In this paper, we study new algebraic and analytic aspects of orthogonal polynomials on the real line when finite modifications of the recurrence coefficients,…”
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On perturbed orthogonal polynomials on the real line and the unit circle via Szegő’s transformation by Castillo, Kenier, Marcellán, Francisco, Rivero, Jorge

“…By using the Szegő’s transformation we deduce new relations between the recurrence coefficients for orthogonal polynomials on the real line and the Verblunsky…”
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GENERATORS OF RATIONAL SPECTRAL TRANSFORMATIONS FOR NONTRIVIAL C-FUNCTIONS by CASTILLO, KENIER, MARCELLÁN, FRANCISCO

“…In this paper we consider transformations of sequences of orthogonal polynomials associated with a Hermitian linear functional ℒ using spectral transformations…”
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On zeros of polynomials in best $$L^p$$-approximation and inserting mass points by Castillo, Kenier, Souza Costa, Marisa de, Rafaeli, Fernando Rodrigo

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On a spectral theorem in paraorthogonality theory by Castillo, Kenier, Cruz-Barroso, Ruymán, Perdomo-Pío, Francisco

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On computational aspects of discrete Sobolev inner products on the unit circle by Castillo, Kenier, Garza, Lino G., Marcellán, Francisco

“…In this paper, we show how to compute in O(n2) steps the Fourier coefficients associated with the Gelfand–Levitan approach for discrete Sobolev orthogonal…”
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Szeg\H{o} and para-orthogonal polynomials on the real line: Zeros and canonical spectral transformations by Kenier Castillo, é, Fernando Rodrigo Rafaeli, Alagacone Sri Ranga

“…We study polynomials which satisfy the same recurrence relation as the Szegő polynomials, however, with the restriction that the (reflection) coefficients in…”
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On a formula of Thompson and McEnteggert for the adjugate matrix by Castillo, Kenier, Zaballa, Ion

“…For an eigenvalue $\lambda_0$ of a Hermitian matrix $A$, the formula of Thompson and McEnteggert gives an explicit expression of the adjoint of $\lambda_0…”
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Monotonicity and asymptotics of zeros of Sobolev type orthogonal polynomials: A general case by Castillo, Kenier, Mello, Mirela V., Rafaeli, Fernando R.

“…We investigate the location, monotonicity, and asymptotics of the zeros of the polynomials orthogonal with respect to the Sobolev type inner…”
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A new linear spectral transformation associated with derivatives of Dirac linear functionals by Castillo, Kenier, Garza, Luis E., Marcellán, Francisco

“…In this contribution, we analyze the regularity conditions of a perturbation on a quasi-definite linear functional by the addition of Dirac delta functionals…”
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SZEGŐ AND PARA-ORTHOGONAL POLYNOMIALS ON THE REAL LINE: ZEROS AND CANONICAL SPECTRAL TRANSFORMATIONS by CASTILLO, KENIER, LAMBLÉM, REGINA LITZ, RAFAELI, FERNANDO RODRIGO, RANGA, ALAGACONE SRI

“…We study polynomials which satisfy the same recurrence relation as the Szegő polynomials, however, with the restriction that the (reflection) coefficients in…”
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Asymptotic behaviour of Sobolev orthogonal polynomials on the unit circle by Castillo, Kenier, Garza, Luis E., Marcellán, Francisco

“…In this contribution, we deal with analytic properties of sequences of polynomials orthogonal with respect to a Sobolev-type inner product where μ is a…”
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