رده‌بندی مجموعه جواب‌های مسائل بهینه‌سازی محدب‌نما روی خمینه‌ها‌ی آدامار

نوع مقاله : مقاله پژوهشی

نویسنده

گروه ریاضی، دانشکده علوم پایه، دانشگاه لرستان، خرم آباد، ایران

چکیده

در این مقاله، شرط لازم و کافی برای جواب‌های یک مسئله بهینه‌سازی روی زیر مجموعه‌های محدب از خمینه‌های آدامار که در آن تابع هدف محدب‌نما است با شرط وجود یک جواب معین عرضه شده است. همچنین ثابت می‌کنیم طول گرادیان تابع هدف در هر نقطه مینیمم‌کننده برابر مضرب مثبتی از طول آن در یک نقطه مینیمم معین است. کاربرد نتایج به دست آمده با آوردن مثال‌هایی توضیح داده شده است.

کلیدواژه‌ها

موضوعات


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