ЗБIЖНIСТЬ ГРАДIЄНТНОЇ ДИНАМIЧНОЇ СИСТЕМИ

Автор(и)

  • A. Yu. Shavlyuk Факультет комп’ютерних наук та кiбернетики, КНУ iменi Тараса Шевченка, Київ, Україна
  • V. V. Semenov Факультет комп’ютерних наук та кiбернетики, КНУ iменi Тараса Шевченка, Київ, Україна

DOI:

https://doi.org/10.17721/2706-9699.2022.1.09

Ключові слова:

опуклiсть, оптимiзацiя, градiєнтна система, збiжнiсть, функцiя Ляпунова

Анотація

Дослiджено асимптотичну поведiнку градiєнтної системи, яка є неперервним аналогом варiанту градiєнтного методу з [16] для мiнiмiзацiї сильно опуклих функцiй. За допомогою другого методу Ляпунова встановлено оцiнки швидкостi збiжностi градiєнтної системи до точки рiвноваги.

Посилання

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Завантаження

Опубліковано

2022-08-02