A Classification of Symmetric (1, 1)-Coherent Pairs of Linear Functionals

Autor: Francisco Marcellán, Alejandro Molano Molano, Herbert Dueñas Ruiz

Publikováno v: e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid
instname
Mathematics, Vol 7, Iss 2, p 213 (2019)
Mathematics
Volume 7
Issue 2

In this paper, we study a classification of symmetric ( 1 , 1 ) -coherent pairs by using a symmetrization process. In particular, the positive-definite case is carefully described.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::36b741cf117162ac11d2e670df6e338e
https://doi.org/10.3390/math7020213

The lanczos algorithm and complex gauss quadrature

Autor: Miroslav S. Pranić, Zdeněk Strakoš, Stefano Pozza

Publikováno v: Electronic transactions on numerical analysis 50 (2018): 1–19. doi:10.1553/etna_vol50s1
info:cnr-pdr/source/autori:Pozza S.; Pranic M.S.; Strakos Z./titolo:The lanczos algorithm and complex gauss quadrature/doi:10.1553%2Fetna_vol50s1/rivista:Electronic transactions on numerical analysis/anno:2018/pagina_da:1/pagina_a:19/intervallo_pagine:1–19/volume:50

Gauss quadrature can be naturally generalized in order to approximate quasi-definite linear functionals, where the interconnections with (formal) orthogonal polynomials, (complex) Jacobi matrices, and the Lanczos algorithm are analogous to those in t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9d500d35799164779941f4e2fd1c820d
http://www.cnr.it/prodotto/i/424337

A new linear spectral transformation associated with derivatives of Dirac linear functionals

Autor: Francisco Marcellán, K. Castillo, Luis E. Garza

Publikováno v: Journal of Approximation Theory. 163:1834-1853

In this contribution, we analyze the regularity conditions of a perturbation on a quasi-definite linear functional by the addition of Dirac delta functionals supported on N points of the unit circle or on its complement. We also deal with a new examp

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b6a56471efa116fcb566e3ba75f01968
https://doi.org/10.1016/j.jat.2011.08.003

On the Krall-type discrete polynomials

Autor: Renato Alvarez-Nodarse, J. Petronilho

Publikováno v: Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
idUS. Depósito de Investigación de la Universidad de Sevilla
instname

In this paper we present a unified theory for studying the so called Kralltype discrete orthogonal polynomials. In particular, the three-term recurrence relation, lowering and raising operators as well as the second order linear difference equation t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bcac8994179fc82021dc7fdc8fb7c63e
https://idus.us.es/xmlui/handle/11441/41748

Linear spectral transformations and Laurent polynomials

Autor: Francisco Marcellán, Luis E. Garza

Publikováno v: e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid
instname

17 pages, 2 figures.-- MSC2000 codes: Primary 42C05; Secondary 15A23. In this manuscript we analyze some linear spectral transformations of a Hermitian linear functional using the multiplication by some class of Laurent polynomials. We focus our atte

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::11dde1504fa6d94e3f60aca378f831b6
https://hdl.handle.net/10016/5893