TY  - JOUR
AU  - Adhemar Bultheel
AU  - Ruymán Cruz Barroso
AU  - Pablo González Vera
AU  - Francisco José Perdomo Pío
T1  - Computation of Gauss-type quadrature formulas with some preassigned nodes
LA  - eng
PY  - 2010
SP  - 163
EP  - 191
T2  - Jaen journal on approximation
SN  - 1889-3066
VL  - 2
IS  - 2
PB  - Universidad de Jaén
PP  - Jaén
AB  - When dealing with the approximate calculation of weighted integrals over a
finite interval [a, b], Gauss-type quadrature rules with one or two prescribed nodes
at the end points {a, b} are well known and commonly referred as Gauss-Radau and
Gauss-Lobatto formulas respectively. In this regard, efficient algorithms involving
the solution of an eigenvalue problem for certain tri-diagonal (Jacobi) matrices
are available for their computation. In this work a further step will be given by
adding to the above quadratures an extra fixed node in (a, b) and providing similar
efficient algorithms for their computation. This will be done by passing to the unit
circle and taking advantage of the so-called Szeg˝o-Lobatto quadrature rules recently
introduced in [27] and [6].
UR  - https://portalciencia.ull.es/documentos/5ea21c232999521f7d523a71
DP  - Dialnet - Portal de la Investigación
ER  -