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Консультация № 191177
20.06.2017, 19:07
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Здравствуйте! Прошу помощи в следующем вопросе:
Решить систему нелинейных уравнений с помощью метода Ньютона, выполнив три итерации. Результат записать с точностью до 0,0001.
cos*x+sin*y-x^2*y=0,8
tg*(y-2)+y^2-x=3
В качестве начального приближения рекомендуется принять следующие значения:
х0=-1; у0=1,5.
Заранее спасибо!
Решить систему нелинейных уравнений с помощью метода Ньютона, выполнив три итерации. Результат записать с точностью до 0,0001.
cos*x+sin*y-x^2*y=0,8
tg*(y-2)+y^2-x=3
В качестве начального приближения рекомендуется принять следующие значения:
х0=-1; у0=1,5.
Заранее спасибо!
Обсуждение
23.06.2017, 07:02
общий
это ответ
Здравствуйте, rifnur9009!
Теория метода Ньютона изложена ниже.
Имеем
Продифференцируем обе функции по каждой переменной. Получим
Выполним расчёты в MS Excel. Файл с решением можно загрузить отсюда. После третьей итерации получается
Теория метода Ньютона изложена ниже.
Имеем
Продифференцируем обе функции по каждой переменной. Получим
Выполним расчёты в MS Excel. Файл с решением можно загрузить отсюда. После третьей итерации получается
Об авторе:
Facta loquuntur.
Facta loquuntur.
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