Where to Find Code for Computing Roots of Generalized Laguerre Polynomials?

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SUMMARY

The discussion centers on finding program libraries or subroutines for computing the zeros of generalized Laguerre polynomials, specifically in the context of the pseudospectral method. Users express interest in FORTRAN code that can facilitate this computation. The inquiry highlights the need for reliable sources or libraries that can handle the mathematical complexity involved in these calculations.

PREREQUISITES
  • Understanding of generalized Laguerre polynomials
  • Familiarity with the pseudospectral method
  • Proficiency in FORTRAN programming
  • Knowledge of numerical methods for root-finding
NEXT STEPS
  • Research existing FORTRAN libraries for Laguerre polynomial roots
  • Explore numerical methods for root-finding in polynomial equations
  • Learn about the implementation of the pseudospectral method in computational mathematics
  • Investigate mathematical software that supports generalized Laguerre polynomial computations
USEFUL FOR

Mathematicians, computational scientists, and software developers working on numerical methods, particularly those focused on polynomial root-finding and pseudospectral analysis.

vahid7mirzaei
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Hi - does anyone know of a program library/subroutine/some other source, to find the zeros of a generalised Laguerre polynomial? ie. LαN(xi)=0
 
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vahid7mirzaei said:
Hi - does anyone know of a program library/subroutine/some other source, to find the zeros of a generalised Laguerre polynomial? ie. LαN(xi)=0

Hi vahid7mirzaei,

The text of your question is an exact duplicate of the one in https://mathhelpboards.com/advanced-applied-mathematics-16/zeros-generalised-laguerre-polynomial-16714.html with just a loss of formatting.
It suggests that you are a spambot rather than a person.
Can you clarify what is going on?
 
Hi, everyone.
I want to know about FORTRAN code for roots of Laguerre polynomials which is used in the pseudospectral method.
 

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