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A note on the convergence of the secant method for simple and multiple roots

Autor
Diez, P.
Tipus d'activitat
Article en revista
Revista
Applied mathematics letters
Data de publicació
2003-11
Volum
16
Número
8
Pàgina inicial
1211
Pàgina final
1215
DOI
https://doi.org/10.1016/S0893-9659(03)90119-4 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/8459 Obrir en finestra nova
Resum
The secant method is one of the most popular methods for root finding. Standard text books in numerical analysis state that the secant method is super linear: the rate of convergence is set by the gold number. Never- theless, this property holds only for simple roots. If the multiplicity of the root is larger than one, the convergence of the secant method becomes linear. This communication includes a detailed analysis of the secant method when it is used to approximate multiple roots. Thus, a pr...
Citació
Díez, P. A note on the convergence of the secant method for simple and multiple roots. "Applied mathematics letters", Novembre 2003, vol. 16, núm. 8, p. 1211-1215.
Paraules clau
Asymptotic behavior, Convergence rate, Secant method
Grup de recerca
LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria

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