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Консультация № 195910
27.06.2019, 18:19
0.00 руб.
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1
Здравствуйте! У меня возникли сложности с таким вопросом:
Решить систему нелинейных уравнений с помощью метода Ньютона, выполнив три итерации. Результат записать с точностью до 0,0001.
Решить систему нелинейных уравнений с помощью метода Ньютона, выполнив три итерации. Результат записать с точностью до 0,0001.
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Обсуждение
27.06.2019, 18:22
общий
В качестве начального приближения рекомендуется принять следующие значения:
х0=2,0
у0=0,5
х0=2,0
у0=0,5
01.07.2019, 08:49
общий
это ответ
Здравствуйте, Adelina!
Теория метода Ньютона, согласно [1, с. 48], изложена ниже.
Имеем
Продифференцируем обе функции по каждой переменной. Получим
Выполним расчёты в MS Excel. Файл с решением прикреплён. После третьей итерации получается
Литература.
1. Черненко В. Д. Высшая математика в примерах и задачах. В. 3 т. Т. 3. -- СПб., Политехника, 2003. -- 476 с.
Теория метода Ньютона, согласно [1, с. 48], изложена ниже.
Имеем
Продифференцируем обе функции по каждой переменной. Получим
Выполним расчёты в MS Excel. Файл с решением прикреплён. После третьей итерации получается
Литература.
1. Черненко В. Д. Высшая математика в примерах и задачах. В. 3 т. Т. 3. -- СПб., Политехника, 2003. -- 476 с.
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Об авторе:
Facta loquuntur.
Facta loquuntur.
Форма ответа
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