This paper is an introduction to formal orthogonal polynomials and their application to Padé approximation, Krylov subspace methods for the solution of systems of linear equations, and convergence acceleration methods. Some more general formal orthogonal polynomials, and the concept of biorthogonality and its applications are also discussed.
Presentamos una introducción a los polinomios ortogonales formales y a sus aplicaciones a la aproximación de Padé, al método de subespacios de Krylov para la resolución de sistemas de ecuaciones lineales y a los métodos de aceleración de la convergencia. Se estudian también polinomios ortogonales formales más generales, el concepto de biortogonalidad y sus aplicaciones.
@article{urn:eudml:doc:40927,
title = {An intoduction to formal orthogonality and some of its applications.},
journal = {RACSAM},
volume = {96},
year = {2002},
pages = {157-173},
mrnumber = {MR1968130},
zbl = {1047.42020},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40927}
}
Brezinski, Claude. An intoduction to formal orthogonality and some of its applications.. RACSAM, Tome 96 (2002) pp. 157-173. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40927/