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UBA - CienciaS • Ver Tema - Otro ejercicio de polinomios...
UBACS Q&A Foro WikiCS
Fecha actual 19 Abr 2021, 13:38

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 Asunto: Otro ejercicio de polinomios...
NotaPublicado: 18 Ene 2009, 04:03 
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Registrado: 17 May 2008, 23:04
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Bueno, hay ejercicios muy buenos que Quimey y Yossa postearon. Voy a tratar de contribuir, si bien mis ejercicios suelen ser inventos baratos...

Demostrar que si un polinomio es de la forma , con , entonces tiene todas sus raíces reales.

La resolución que yo pensé es:


Bueno... ejercicio aburrido...



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 Asunto: Re: Otro ejercicio de polinomios...
NotaPublicado: 18 Ene 2009, 11:08 
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Registrado: 05 Jul 2008, 14:02
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Esta idea esta buena porque te da una forma de calcular raices de polinomios (aproximadamente). Por ejemplo si A es una matriz simetrica y es un vector cualquiera podemos definir . Les dejo como tarea mostrar que converge a un autovector del autovalor mas grande de A.



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