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Консультация № 108853
10.11.2007, 20:38
0.00 руб.
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2
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Здравствуйте эксперты, решаю уровнение различными итерациями: Ньютоном и половинным делением, надо графики сходимости, что это такое?
Обсуждение
Неизвестный
10.11.2007, 21:00
общий
это ответ
Здравствуйте, Tribak!
Рис. 2. График сходимости итерационного процесса на примере модели из параметрического эскиза (рис. 1) - http://www.sapr.ru/article.aspx?id=7486&iid=305
Шрафики итераций - http://cache.rcom.ru/~dap/nneng/nnlinks/nbdoc/compare2.htm
Рис. 2. График сходимости итерационного процесса на примере модели из параметрического эскиза (рис. 1) - http://www.sapr.ru/article.aspx?id=7486&iid=305
Шрафики итераций - http://cache.rcom.ru/~dap/nneng/nnlinks/nbdoc/compare2.htm
Неизвестный
10.11.2007, 23:46
общий
это ответ
Здравствуйте, Tribak!
Здравствуйте эксперты, решаю уровнение различными итерациями: Ньютоном и половинным делением, надо графики сходимости, что это такое?
Это график, который показывает как зависит величина ошибки от номера итерации.
Т.е. по оси X откладываете номер итерации, а по оси Y - модуль отличия значения, полученного на этой итерации, от окончательного или истинного.
Это позволяет говорить например о скорости сходимости разными методами.
Например, метод Ньютона должен на таком графике показывать, как правило, гораздо более сходимость к окончательному решению, чем метод деления пополам.
В связи с тем, что даже при делении пополам убывание ошибки экспоненциальное ~(a - b)/2^n, то выводить не абсолютную величну ошибки, а её логарифм.
Здравствуйте эксперты, решаю уровнение различными итерациями: Ньютоном и половинным делением, надо графики сходимости, что это такое?
Это график, который показывает как зависит величина ошибки от номера итерации.
Т.е. по оси X откладываете номер итерации, а по оси Y - модуль отличия значения, полученного на этой итерации, от окончательного или истинного.
Это позволяет говорить например о скорости сходимости разными методами.
Например, метод Ньютона должен на таком графике показывать, как правило, гораздо более сходимость к окончательному решению, чем метод деления пополам.
В связи с тем, что даже при делении пополам убывание ошибки экспоненциальное ~(a - b)/2^n, то выводить не абсолютную величну ошибки, а её логарифм.
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