GegeSob
ETNA package attached to the paper:
Teresa Laudadio, Francisco Marcellán, Nicola Mastronardi, Niel Van Buggenhout, Paul Van Dooren
Fast and accurate computation of the zeros of Gegenbauer--Sobolev orthogonal polynomials
ETNA Volume 65, pp. 1–65, 2026.
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AUTHORS
Teresa Laudadio, 
   Istituto per le Applicazioni del Calcolo, CNR, Bari, Italy
Francisco Marcellán,
   University Carlos III de Madrid,  Madrid, Spain
Nicola Mastronardi,
   Istituto per le Applicazioni del Calcolo, CNR, Bari, Italy
Niel Van Buggenhout,
   University Carlos III de Madrid,  Madrid, Spain
Paul Van Dooren,
   Catholic University of Louvain, Louvain-la-Neuve, Belgium
> Email: teresa.laudadio@cnr.it, pacomarc@ing.uc3m.es, nicola.mastronardi@cnr.it, nvanbugg@math.uc3m.es, vandooren.p@gmail.com
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DESCRIPTION
This package provides two functions capable  to compute the zeros of  
of Gegenbauer-Sobolev polynomials. an example  is  provided in the package.
Release: 1.0, June 2026
Programming language: Matlab 9.11 (R2021b)
License: (see license.md)
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DISCLAIMER
ETNA editors have test run the code, but the reponsibility of the correctness
of the code is with the authors. ETNA is not responsible for any problems the
code may cause; see the file License.md for details.
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PACKAGE USE
As long as all necessary files are in the working directory (see above),
Example_EA.m provides a matlab  example of the computation of the zeros of Gegenbauer-Sobolev polynomials 
by algorithms EA1 and EA2 described in the paper.
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PACKAGE STRUCTURE
The following is a list with a brief description of the contents of the
GegeSob package. 

License.md             : Markdown file containing license for package use.
README.md              : This file.
EA1.m                  : First version of the Ehrlich-Aberth method described in the paper
EA2.m                  : Second version of the Ehrlich-Aberth method described in the paper
Example_EA.m           : A demo to showcase the use of the EA1.m and EA2.m algorithms.
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