Uma demonstra\303\247\303\243o de converg\303\252ncia para um pol\303\255gono pr\303\263prio dominante

Primeiro carregamos alguns pacotes e definimos alguns objetos:

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Cada autovetor de A (ou seja, cada coluna de V) pode ser visto como um pol\303\255gono no plano complexo. Todos os valores pr\303\263prios de A t\303\252m a mesma magnitude, portanto, n\303\243o h\303\241 pol\303\255gono dominante. Podemos tornar um dos autovalores dominante mudando os autovalores (os autovetores permanecer\303\243o os mesmos):

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Reproduzir a anima\303\247\303\243o acima permite que voc\303\252 veja a converg\303\252ncia para o autoespa\303\247o dominante em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1cEdGJDYlLUkjbWlHRiQ2JlEoJiM4NDUwO0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSI1RidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRjVGQQ== .

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