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Método de factorización QR para cálculo de autovalores de matrices

Authors: Albors Cantero, Elena;

Método de factorización QR para cálculo de autovalores de matrices

Abstract

Este Trabajo de Fin de Grado (TFG) se centra en el método 𝙌𝙍 de aproximación de autovalores. En el primer capítulo se hace un resumen esquemático y clasificatorio de los métodos más importantes para el cálculo de autovalores. En el segundo capítulo se explora en detalle el método de Householder para calcular la factorización 𝘼 = 𝙌𝙍 y se presenta una implementación en Matlab del algoritmo. En el último capítulo se describe el método 𝙌𝙍 para aproximar los autovalores de una matriz, se demuestra su convergencia bajo hipótesis convenientes y se detallan las bases para su implementación en Matlab. Los códigos se añaden al nal de cada sección y el texto se completa con resultados obtenidos en el cálculo de autovalores de matrices tomadas como ejemplo, comparando los resultados con los obtenidos directamente con el comando eig() de Matlab.

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Spain
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average