Dicas e t\303\251cnicas de sala de aula: itera\303\247\303\243o de ponto fixoRobert J. LopezProfessor Em\303\251rito de Matem\303\241tica e Maple FellowMaplesoft
<Text-field style="Heading 1" layout="Heading 1"><Font background="[0,0,0]" encoding="UTF-8">Introdu\303\247\303\243o</Font></Text-field>A itera\303\247\303\243o de ponto fixo, tamb\303\251m chamada de itera\303\247\303\243o de Picard, intera\303\247\303\243o linear e substitui\303\247\303\243o repetida, \303\251 f\303\241cil de investigar no Maple para o caso escalar. A sintaxe para o caso do vetor \303\251 um pouco mais complexa, portanto, discutimos v\303\241rios m\303\251todos para definir e implementar fun\303\247\303\265es com valor de vetor de um argumento de vetor.
<Text-field style="Heading 1" layout="Heading 1"><Font background="[0,0,0]" encoding="UTF-8">Inicializa\303\247\303\265es</Font></Text-field>LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUShyZXN0YXJ0RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjhRJ25vcm1hbEYnRitGOkY9LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNictRiw2JVEld2l0aEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNj5RMCZBcHBseUZ1bmN0aW9uO0YnLyUnZmFtaWx5R1EwVGltZXN+TmV3flJvbWFuRicvJSVzaXplR1EjMTJGJy8lJWJvbGRHUSZmYWxzZUYnL0Y3RkgvJSp1bmRlcmxpbmVHRkgvJSpzdWJzY3JpcHRHRkgvJSxzdXBlcnNjcmlwdEdGSC8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStiYWNrZ3JvdW5kR1EuWzI1NSwyNTUsMjU1XUYnLyUnb3BhcXVlR0ZILyUrZXhlY3V0YWJsZUdGSC8lKXJlYWRvbmx5R0ZILyUpY29tcG9zZWRHRkgvJSpjb252ZXJ0ZWRHRkgvJStpbXNlbGVjdGVkR0ZILyUscGxhY2Vob2xkZXJHRkgvJTZzZWxlY3Rpb24tcGxhY2Vob2xkZXJHRkgvRjpRJ25vcm1hbEYnLyUmZmVuY2VHRkgvJSpzZXBhcmF0b3JHRkgvJSlzdHJldGNoeUdGSC8lKnN5bW1ldHJpY0dGSC8lKGxhcmdlb3BHRkgvJS5tb3ZhYmxlbGltaXRzR0ZILyUnYWNjZW50R0ZILyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGYnAtSShtZmVuY2VkR0YkNiQtRiM2JS1GLDYlUSZwbG90c0YnRjZGOUZYRmBvRmBvRlhGYG9GK0ZYRmBvLUY9Ni1RIjpGJ0Zgb0Zib0Zkb0Zmb0Zob0Zqb0ZccEZecC9GYXBRLDAuMjc3Nzc3OGVtRicvRmRwRmFxRlhGYG8=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNictRiw2JVEyVXNlSGFyZHdhcmVGbG9hdHNGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSM6PUYnL0Y6USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGRC8lKXN0cmV0Y2h5R0ZELyUqc3ltbWV0cmljR0ZELyUobGFyZ2VvcEdGRC8lLm1vdmFibGVsaW1pdHNHRkQvJSdhY2NlbnRHRkQvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZTLUYsNiVGREY2RjkvJStleGVjdXRhYmxlR0ZERkBGK0ZYRkAtRj02LVEiOkYnRkBGQkZFRkdGSUZLRk1GT0ZRRlRGWEZA
<Text-field style="Heading 1" layout="Heading 1"><Font background="[0,0,0]" encoding="UTF-8">Itera\303\247\303\243o de ponto fixo: caso escalar</Font></Text-field>Come\303\247ando de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUklbXN1YkdGJDYlRjEtRiM2JC1JI21uR0YkNiRRIjBGJ0Y+Rj4vJS9zdWJzY3JpcHRzaGlmdEdGZm5GPkYrRj4=, itera\303\247\303\243o de ponto fixo para a fun\303\247\303\243o escalar 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 gera a sequ\303\252ncia LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYmLUYjNiQtSSVtc3ViR0YkNiUtSSNtaUdGJDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiQtRjQ2JVEia0YnRjdGOi9GO1Enbm9ybWFsRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0ZCRkIvJSVvcGVuR1EifGZyRicvJSZjbG9zZUdRInxockYnRkI= por computa\303\247\303\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Sob as condi\303\247\303\265es certas em 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, esta sequ\303\252ncia converge para um ponto fixo definido pela equa\303\247\303\243o 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. Esse processo \303\251 f\303\241cil de demonstrar no caso escalar. Por exemplo, a equa\303\247\303\243o quadr\303\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 as duas solu\303\247\303\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 a equa\303\247\303\243o para a forma 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 pelos 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 permite definir a fun\303\247\303\243o 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 atrav\303\251s d\303\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As solu\303\247\303\265es da equa\303\247\303\243o quadr\303\241tica s\303\243o pontos fixos de 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, como vemos 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sequ\303\252ncia definida por LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Jy1JJW1zdWJHRiQ2JS1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiZGKy1GIzYmLUYsNiVRImtGJ0Y3RjotSSNtb0dGJDYtUSIrRicvRjtRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZMLyUpc3RyZXRjaHlHRkwvJSpzeW1tZXRyaWNHRkwvJShsYXJnZW9wR0ZMLyUubW92YWJsZWxpbWl0c0dGTC8lJ2FjY2VudEdGTC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRmVuLUkjbW5HRiQ2JFEiMUYnRkhGSEYrRkgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1GRTYtUSI9RidGSEZKRk1GT0ZRRlNGVUZXL0ZaUSwwLjI3Nzc3NzhlbUYnL0ZnbkZjby1GIzYmLUYsNiVRImdGJ0Y3RjotRkU2PlEwJkFwcGx5RnVuY3Rpb247RicvJSdmYW1pbHlHUTBUaW1lc35OZXd+Um9tYW5GJy8lJXNpemVHUSMxMkYnLyUlYm9sZEdGTC9GOEZMLyUqdW5kZXJsaW5lR0ZMLyUqc3Vic2NyaXB0R0ZMLyUsc3VwZXJzY3JpcHRHRkwvJStmb3JlZ3JvdW5kR1EoWzAsMCwwXUYnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy8lJ29wYXF1ZUdGTC8lK2V4ZWN1dGFibGVHRkwvJSlyZWFkb25seUdGTC8lKWNvbXBvc2VkR0ZMLyUqY29udmVydGVkR0ZMLyUraW1zZWxlY3RlZEdGTC8lLHBsYWNlaG9sZGVyR0ZMLyU2c2VsZWN0aW9uLXBsYWNlaG9sZGVyR0ZMRkhGSkZNRk9GUUZTRlVGVy9GWlEmMC4wZW1GJy9GZ25GY3ItSShtZmVuY2VkR0YkNiQtRiM2JC1GMjYlRjQtRiM2JEZBRkhGXG9GSEZIRkhGK0ZIRitGSA== ir\303\241 convergir para LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiMUYnRj5GPkYrRj4= if LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYkLUkjbW5HRiQ2JFEiMEYnL0Y2USdub3JtYWxGJ0Y+LyUvc3Vic2NyaXB0c2hpZnRHRj1GPg== \303\251 suficientemente pr\303\263ximo de 1 porque 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, como mostrado por LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEiZ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKCZwcmltZTtGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4xMTExMTExZW1GJy8lJ3JzcGFjZUdRJjAuMGVtRictSShtZmVuY2VkR0YkNiQtRiM2JS1JI21uR0YkNiRRIjFGJ0Y5LyUrZXhlY3V0YWJsZUdGPUY5RjlGWUY5Para demonstrar essa itera\303\247\303\243o de ponto fixo come\303\247ando em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiNEYnRj5GPkYrRj4= converge para LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiMUYnRj5GPkYrRj4=, trabalhamos em aritm\303\251tica de ponto flutuante e 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A capacidade do Maple de implementar a fun\303\247\303\243o escalar 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 torna os c\303\241lculos de ponto fixo naturais no caso escalar.
<Text-field style="Heading 1" layout="Heading 1"><Font background="[0,0,0]" encoding="UTF-8">Itera\303\247\303\243o de Ponto Fixo: Caso Vector</Font></Text-field>Se o vetor LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EieEYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjotRiM2JS1JI21uR0YkNiRRIjBGJy9GOVEnbm9ybWFsRicvRjZGNC9GOVEnaXRhbGljRicvJS9zdWJzY3JpcHRzaGlmdEdGQkZD satisfaz a equa\303\247\303\243o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2J1EieEYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjctSSNtb0dGJDYtUSI9RicvRjZRJ25vcm1hbEYnLyUmZmVuY2VHRjQvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGUC1GLDYnUSJnRidGL0YyRjVGOC1JKG1mZW5jZWRHRiQ2JC1GIzYkRitGPkY+Rj4=, Onde LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2J1EiZ0YnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjctSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYnUSJ4RidGL0YyRjVGOC9GNlEnbm9ybWFsRidGQkZC \303\251 uma fun\303\247\303\243o com valor de vetor do argumento do vetor x, ent\303\243o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EieEYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjotRiM2JS1JI21uR0YkNiRRIjBGJy9GOVEnbm9ybWFsRicvRjZGNC9GOVEnaXRhbGljRicvJS9zdWJzY3JpcHRzaGlmdEdGQkZD \303\251 um ponto fixo de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2J1EiZ0YnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjctSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYnUSJ4RidGL0YyRjVGOC9GNlEnbm9ybWFsRidGQkZC. Como no caso escalar, a itera\303\247\303\243o de ponto fixo pode ser usada para encontrar solu\303\247\303\265es para equa\303\247\303\265es da forma LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2J1EiRkYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjctSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYnUSJ4RidGL0YyRjVGOC9GNlEnbm9ybWFsRidGQi1JI21vR0YkNi1RIj1GJ0ZCLyUmZmVuY2VHRjQvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGWC1JI21uR0YkNiZRIjBGJ0YvRjVGOEZC, onde LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2J1EiRkYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjctSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYnUSJ4RidGL0YyRjVGOC9GNlEnbm9ybWFsRidGQkZC \303\251 em si uma fun\303\247\303\243o com valor vetorial do argumento do vetor x.Por examplo, se x \303\251 o 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e a fun\303\247\303\243o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2J1EiRkYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjctSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYnUSJ4RidGL0YyRjVGOC9GNlEnbm9ybWFsRidGQkZC \303\251 o 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\303\243o a Figura 1 mostra que as equa\303\247\303\265es determinadas por LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2J1EiRkYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjctSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYnUSJ4RidGL0YyRjVGOC9GNlEnbm9ybWFsRidGQi1JI21vR0YkNi1RIj1GJ0ZCLyUmZmVuY2VHRjQvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGWC1JI21uR0YkNiZRIjBGJ0YvRjVGOEZC tem quatro solu\303\247\303\265es reais.
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%;Figura 1 Gr\303\241fico de 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, o primeiro em vermelho, o segundo em preto
O Maple determina que essas quatro solu\303\247\303\265es 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Usando aritm\303\251tica exata, essas solu\303\247\303\265es podem ser escritas como 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 como os 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 aritm\303\251tica de ponto flutuante.A solu\303\247\303\243o do primeiro quadrante pode ser encontrada por itera\303\247\303\243o de ponto fixo se a equa\303\247\303\243o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2J1EiRkYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjctSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYnUSJ4RidGL0YyRjVGOC9GNlEnbm9ybWFsRidGQi1JI21vR0YkNi1RIj1GJ0ZCLyUmZmVuY2VHRjQvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGWC1JI21uR0YkNiZRIjBGJ0YvRjVGOEZC \303\251 lan\303\247ado na forma LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2J1EieEYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjctSSNtb0dGJDYtUSI9RicvRjZRJ25vcm1hbEYnLyUmZmVuY2VHRjQvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGUC1GLDYnUSJnRidGL0YyRjVGOC1JKG1mZW5jZWRHRiQ2JC1GIzYkRitGPkY+Rj4= definindo o vetor LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2J1EiZ0YnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjctSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYnUSJ4RidGL0YyRjVGOC9GNlEnbm9ybWFsRidGQkZC do seguinte modo.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 a solu\303\247\303\243o do primeiro quadrante \303\251 um ponto fixo deste LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2J1EiZ0YnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjctSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYnUSJ4RidGL0YyRjVGOC9GNlEnbm9ybWFsRidGQkZC \303\251 demonstrado pelo c\303\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 seguir, fornecemos v\303\241rias implementa\303\247\303\265es Maple de itera\303\247\303\243o de ponto fixo para a fun\303\247\303\243o de valor vetorial LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2J1EiZ0YnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjctSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYnUSJ4RidGL0YyRjVGOC9GNlEnbm9ybWFsRidGQkZC. Primeiro, usamos o vetor LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2J1EiZ0YnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjctSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYnUSJ4RidGL0YyRjVGOC9GNlEnbm9ybWFsRidGQkZC como uma express\303\243o na qual devemos fazer substitui\303\247\303\265es da forma 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. Para obter as regras de substitui\303\247\303\243o em cada etapa da itera\303\247\303\243o, usamos o comando Equate de n\303\255vel superior. Este comando pega duas listas ou vetores e forma as equa\303\247\303\265es determinadas pela equa\303\247\303\243o de componentes semelhantes. Assim, igualamos os componentes do 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com o vetor 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. Se come\303\247armos a itera\303\247\303\243o de ponto fixo em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EieEYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjotRiM2JS1JI21uR0YkNiRRIjBGJy9GOVEnbm9ybWFsRicvRjZGNC9GOVEnaXRhbGljRicvJS9zdWJzY3JpcHRzaGlmdEdGQi1JI21vR0YkNi1RIj1GJ0ZDLyUmZmVuY2VHRjcvJSpzZXBhcmF0b3JHRjcvJSlzdHJldGNoeUdGNy8lKnN5bW1ldHJpY0dGNy8lKGxhcmdlb3BHRjcvJS5tb3ZhYmxlbGltaXRzR0Y3LyUnYWNjZW50R0Y3LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGaG4tSShtZmVuY2VkR0YkNiYtRiM2Ji1GLzYjUSFGJy1JJ210YWJsZUdGJDY2LUkkbXRyR0YkNiYtSSRtdGRHRiQ2KC1GQDYkUSQwLjFGJ0ZDLyUpcm93YWxpZ25HRmJvLyUsY29sdW1uYWxpZ25HRmJvLyUrZ3JvdXBhbGlnbkdGYm8vJShyb3dzcGFuR1EiMUYnLyUrY29sdW1uc3BhbkdGZ3BGX3BGYXBGY3BGZm8vJSZhbGlnbkdRJWF4aXNGJy9GYHBRKWJhc2VsaW5lRicvRmJwUSdjZW50ZXJGJy9GZHBRJ3xmcmxlZnR8aHJGJy8lL2FsaWdubWVudHNjb3BlR0Y0LyUsY29sdW1ud2lkdGhHUSVhdXRvRicvJSZ3aWR0aEdGZ3EvJStyb3dzcGFjaW5nR1EmMS4wZXhGJy8lLmNvbHVtbnNwYWNpbmdHUSYwLjhlbUYnLyUpcm93bGluZXNHUSVub25lRicvJSxjb2x1bW5saW5lc0dGYnIvJSZmcmFtZUdGYnIvJS1mcmFtZXNwYWNpbmdHUSwwLjRlbX4wLjVleEYnLyUqZXF1YWxyb3dzR0Y3LyUtZXF1YWxjb2x1bW5zR0Y3LyUtZGlzcGxheXN0eWxlR0Y3LyUlc2lkZUdRJnJpZ2h0RicvJTBtaW5sYWJlbHNwYWNpbmdHRl9yRmBvRkNGQy8lJW9wZW5HUSJbRicvJSZjbG9zZUdRIl1GJ0ZD, n\303\263s 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 itera\303\247\303\243o que converge lentamente para o ponto fixo do primeiro quadrante.Alternativamente, em uma tentativa de fazer uma fun\303\247\303\243o do vetor LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2J1EiZ0YnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjctSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYnUSJ4RidGL0YyRjVGOC9GNlEnbm9ybWFsRidGQkZC,n\303\263s 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 argumento para esta fun\303\247\303\243o n\303\243o \303\251 um vetor e n\303\243o criamos uma fun\303\247\303\243o com valor de vetor de um argumento de vetor. O argumento para esta fun\303\247\303\243o \303\251 a sequ\303\252ncia de coordenadas LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiLEYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1GLDYlUSJ5RidGNEY3Rj5GK0Y+. Para implementar a itera\303\247\303\243o de ponto fixo com esta fun\303\247\303\243o, precisamos converter os vetores de sa\303\255da em uma sequ\303\252ncia de duas coordenadas. Fazemos isso convertendo o vetor de sa\303\255da em uma lista e removendo os colchetes da lista acrescentando os colchetes []. Assim, a itera\303\247\303\243o pode ser escrita 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Uma verdadeira fun\303\247\303\243o com valor de vetor de um argumento de vetor pode ser implementada no Maple definindo a fun\303\247\303\243o H (x) com a seguinte sintaxe.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 pr\303\263prios componentes de H (x) devem ser fun\303\247\303\265es, com refer\303\252ncias de vetor expl\303\255citas em seus argumentos. Em uso, ter\303\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O leitor astuto ver\303\241 que "vetorizamos" o caso escalar e fomos capazes de comparar o c\303\263digo escalar no caso vetorial. A sobrecarga sint\303\241tica na defini\303\247\303\243o de H (x) \303\251 um pequeno pre\303\247o a pagar pela generaliza\303\247\303\243o de c\303\241lculos escalares para vetoriais.