López-Lagomasino, Guillermo An introduction to multiple orthogonal polynomials and Hermite-Padé approximation. (English) Zbl 1460.42041 Marcellán, Francisco (ed.) et al., Orthogonal polynomials: current trends and applications. Proceedings of the 7th EIBPOA conference, Universidad Carlos III de Madrid, Leganés, Spain, July 3–6, 2018. Cham: Springer. SEMA SIMAI Springer Ser. 22, 237-271 (2021). MSC: 42C05 30E10 41A21 PDFBibTeX XMLCite \textit{G. López-Lagomasino}, SEMA SIMAI Springer Ser. 22, 237--271 (2021; Zbl 1460.42041) Full Text: DOI arXiv
López-García, Abey; López Lagomasino, Guillermo Nikishin systems on star-like sets: ratio asymptotics of the associated multiple orthogonal polynomials. II. (English) Zbl 1440.42121 J. Approx. Theory 250, Article ID 105320, 28 p. (2020). MSC: 42C05 30E10 47B39 PDFBibTeX XMLCite \textit{A. López-García} and \textit{G. López Lagomasino}, J. Approx. Theory 250, Article ID 105320, 28 p. (2020; Zbl 1440.42121) Full Text: DOI arXiv
López-García, Abey; López Lagomasino, Guillermo Nikishin systems on star-like sets: ratio asymptotics of the associated multiple orthogonal polynomials. (English) Zbl 1381.42036 J. Approx. Theory 225, 1-40 (2018). Reviewer: Adhemar Bultheel (Leuven) MSC: 42C05 30E10 47B39 PDFBibTeX XMLCite \textit{A. López-García} and \textit{G. López Lagomasino}, J. Approx. Theory 225, 1--40 (2018; Zbl 1381.42036) Full Text: DOI arXiv
Aptekarev, A. I.; López Lagomasino, G.; Martínez-Finkelshtein, A. On Nikishin systems with discrete components and weak asymptotics of multiple orthogonal polynomials. (English. Russian original) Zbl 1379.42011 Russ. Math. Surv. 72, No. 3, 389-449 (2017); translation from Usp. Mat. Nauk 72, No. 3, 3-64 (2017). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 42C05 31A99 41A21 PDFBibTeX XMLCite \textit{A. I. Aptekarev} et al., Russ. Math. Surv. 72, No. 3, 389--449 (2017; Zbl 1379.42011); translation from Usp. Mat. Nauk 72, No. 3, 3--64 (2017) Full Text: DOI arXiv
Aptekarev, A. I.; López Lagomasino, G.; Martínez-Finkelshtein, A. Strong asymptotics for the Pollaczek multiple orthogonal polynomials. (English. Russian original) Zbl 1337.33006 Dokl. Math. 92, No. 3, 709-713 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 465, No. 4, 393-397 (2015). Reviewer: Peter Massopust (München) MSC: 33C47 15B52 PDFBibTeX XMLCite \textit{A. I. Aptekarev} et al., Dokl. Math. 92, No. 3, 709--713 (2015; Zbl 1337.33006); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 465, No. 4, 393--397 (2015) Full Text: DOI
Delvaux, Steven; López, Abey; Lagomasino López, Guillermo A family of Nikishin systems with periodic recurrence coefficients. (English. Russian original) Zbl 1273.42027 Sb. Math. 204, No. 1, 43-74 (2013); translation from Mat. Sb. 204, No. 1, 47-78 (2013). Reviewer: Pablo Sánchez-Moreno (Granada) MSC: 42C05 41A21 PDFBibTeX XMLCite \textit{S. Delvaux} et al., Sb. Math. 204, No. 1, 43--74 (2013; Zbl 1273.42027); translation from Mat. Sb. 204, No. 1, 47--78 (2013) Full Text: DOI arXiv
López García, Abey; López Lagomasino, Guillermo Ratio asymptotic of Hermite-Padé orthogonal polynomials for Nikishin systems. II. (English) Zbl 1153.42013 Adv. Math. 218, No. 4, 1081-1106 (2008). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 42C05 30E10 41A21 PDFBibTeX XMLCite \textit{A. López García} and \textit{G. López Lagomasino}, Adv. Math. 218, No. 4, 1081--1106 (2008; Zbl 1153.42013) Full Text: DOI arXiv
Barrios Rolanía, D.; de la Calle Ysern, B.; López Lagomasino, G. Ratio and relative asymptotics of polynomials orthogonal with respect to varying Denisov-type measures. (English) Zbl 1100.42014 J. Approximation Theory 139, No. 1-2, 223-256 (2006). Reviewer: Alexei Lukashov (Istanbul) MSC: 42C05 PDFBibTeX XMLCite \textit{D. Barrios Rolanía} et al., J. Approx. Theory 139, No. 1--2, 223--256 (2006; Zbl 1100.42014) Full Text: DOI Link
Bello Hernández, M.; de la Calle Ysern, B.; López Lagomasino, G. Generalized Stieltjes polynomials and rational Gauss-Kronrod quadrature. (English) Zbl 1056.42017 Constructive Approximation 20, No. 2, 249-265 (2004). Reviewer: Alexei Lukashov (Saratov) MSC: 42C05 31A99 41A21 65D32 PDFBibTeX XMLCite \textit{M. Bello Hernández} et al., Constr. Approx. 20, No. 2, 249--265 (2004; Zbl 1056.42017)
López Lagomasino, G.; Pijeira Cabrera, H.; Pérez Izquierdo, I. Sobolev orthogonal polynomials in the complex plane. (English) Zbl 0973.42015 J. Comput. Appl. Math. 127, No. 1-2, 219-230 (2001). Reviewer: Jürgen Müller (Trier) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{G. López Lagomasino} et al., J. Comput. Appl. Math. 127, No. 1--2, 219--230 (2001; Zbl 0973.42015) Full Text: DOI
de la Calle Ysern, B.; López Lagomasino, G. Weak convergence of varying measures and Hermite-Padé orthogonal polynomials. (English) Zbl 1058.42503 Constructive Approximation 15, No. 4, 553-575 (1999). MSC: 42C05 30E10 PDFBibTeX XMLCite \textit{B. de la Calle Ysern} and \textit{G. López Lagomasino}, Constr. Approx. 15, No. 4, 553--575 (1999; Zbl 1058.42503) Full Text: DOI
Barrios Rolanía, D.; López Lagomasino, G. Ratio asymptotics for polynomials orthogonal on arcs on the unit circle. (English) Zbl 0931.42016 Constructive Approximation 15, No. 1, 1-31 (1999). Reviewer: A.Martínez Finkelshtein (Almeria) MSC: 42C05 PDFBibTeX XMLCite \textit{D. Barrios Rolanía} and \textit{G. López Lagomasino}, Constr. Approx. 15, No. 1, 1--31 (1999; Zbl 0931.42016) Full Text: DOI
Bello Hernández, M.; López Lagomasino, G. Ratio and relative asymptotics of polynomials orthogonal on an arc of the unit circle. (English) Zbl 0897.42016 J. Approximation Theory 92, No. 2, 216-244 (1998). Reviewer: D.S.Lubinsky (Wits) MSC: 42C05 30E10 30E15 PDFBibTeX XMLCite \textit{M. Bello Hernández} and \textit{G. López Lagomasino}, J. Approx. Theory 92, No. 2, 216--244 (1998; Zbl 0897.42016) Full Text: DOI Link
Cala Rodriguez, Francisco; Lopez Lagomasino, Guillermo From Padé to Padé-type approximants. Exact rate of convergence. (English) Zbl 0841.41014 Florenzano, Monique (ed.) et al., Approximation and optimization in the Caribbean II. Proceedings of the 2nd international conference held in Havana, Cuba, September 26 - October 1, 1993. Frankfurt a. M.: Peter Lang. Approximation Optimization. 8, 155-163 (1995). MSC: 41A21 41A25 42C05 30E10 PDFBibTeX XMLCite \textit{F. Cala Rodriguez} and \textit{G. Lopez Lagomasino}, in: Approximation and optimization in the Caribbean II. Proceedings of the 2nd international conference held in Havana, Cuba, September 26 - October 1, 1993. Frankfurt a. M.: Peter Lang. 155--163 (1995; Zbl 0841.41014)