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Start Over Author "López Lagomasino, Guillermo" Topic hermite-pade approximation
6 results on '"López Lagomasino, Guillermo"'

1. An Introduction to Multiple Orthogonal Polynomials and Hermite-Padé Approximation

Author

López-Lagomasino, Guillermo, Formaggia, Luca, Editor-in-Chief, Pedregal, Pablo, Editor-in-Chief, Larson, Mats G., Series Editor, Martínez-Seara Alonso, Tere, Series Editor, Parés, Carlos, Series Editor, Pareschi, Lorenzo, Series Editor, Tosin, Andrea, Series Editor, Vázquez-Cendón, Elena, Series Editor, Zunino, Paolo, Series Editor, Marcellán, Francisco, editor, and Huertas, Edmundo J., editor

Published
2021
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3. The Riemann-Hilbert problem method applied to a Nikishin system : Riemann-Hilbert analysis for a Nikishin system

Author

López Lagomasino, Guillermo and Van Assche, Walter

Subjects
Riemann-Hilbert problem, Mathematics::Complex Variables, Hermite-Padé approximation, Asymptotics, multiple orthogonal polynomials
Abstract

In this paper we give the asymptotic behavior of type I multiple orthogonal polynomials for a Nikishin system of order two with two disjoint intervals. We use the Riemann-Hilbert problem for multiple orthogonal polynomials and the steepest descent analysis for oscillatory Riemann-Hilbert problems to obtain the asymptotic behavior in all relevant regions of the complex plane. ispartof: Matematicheskii Sbornik vol:209 issue:7 pages:106-138 status: published

Published
2018

4. Convergence and Asymptotic of Multi-Level Hermite-Padé Polynomials

Author

González Ricardo, Luis Giraldo, López Lagomasino, Guillermo, Universidad Carlos III de Madrid. Departamento de Matemáticas, and UC3M. Departamento de Matemáticas

Subjects
Matemáticas, Multiple orthogonal polynomials, Hermite-Padé approximation, Nikishin system, Logarithmic asymptotic
Abstract

Mención Internacional en el título de doctor Programa de Doctorado en Ingeniería Matemática por la Universidad Carlos III de Madrid Presidente: Francisco José Marcellán Español.- Secretario: Bernardo de la Calle Ysern.- Vocal: Arnoldus Bernardus Jacobus Kuijlaa

Published
2022

5. Hermite-Padé approximation and location of singularities of systems of analytic functions

Author

Zaldivar Gerpe, Yanely, López Lagomasino, Guillermo, UC3M. Departamento de Matemáticas, and Universidad Carlos III de Madrid. Departamento de Matemáticas

Subjects
Multipoint Hermite-Padé approximation, Matemáticas, Hermite-Padé approximation, Analytic functions
Abstract

Programa de Doctorado en Ingeniería Matemática por la Universidad Carlos III de Madrid Presidente: Francisco José Marcellán Español.- Secretario: Bernardo de la Calle Ysern.- Vocal: Manuel Bello Hernández

Published
2019

6. Systems of Markov type functions: normality and convergence of Hermite-Padé approximants

Author

Medina Peralta, Sergio, López Lagomasino, Guillermo, Universidad Carlos III de Madrid. Departamento de Matemáticas, and UC3M. Departamento de Matemáticas

Subjects
Matemáticas, Hermite-Padé approximation, Markov systems
Abstract

This thesis deals with Hermite-Padé approximation of analytic and merophorphic functions. As such it is embeded in the theory of vector rational approximation of analytic functions which in turn is intimately connectd with the theory of multiple orthogonal polynomials. All the basic concepts and results used in this thesis involving complex analysis and measure theory may found in classical textbooks..........., Programa Oficial de Doctorado en Ingeniería Matemática, Presidente: Francisco José Marcellán Español; Vocal: Alexander Ivanovich Aptekarev; Secretario: Andrei Martínez Finkelshtein

Published
2014

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