یک روش نقطه درونی نشدنی با گام کامل NT با پیچیدگی (O(n برای حاصل‌ضرب دکارتی P_*(k) –HLCP روی مخروطهای متقارن با استفاده از تحدب نمایی
الموضوعات :بهروز خیرفام 1 , معصومه حقیقی 2
1 - گروه ریاضی کاربردی (بهینه سازی)، دانشکده علوم پایه، دانشگاه شهید مدنی آذربایجان، تبریز، ایران
2 - گروه ریاضی کاربردی (بهینه سازی)، دانشکده علوم پایه، دانشگاه شهید مدنی آذربایجان، تبریز، ایران
الکلمات المفتاحية: Horizontal linear complementar, Cartesian P_*(k), infeasible interior-point meth, polynomial complexity, symmetric cone,
ملخص المقالة :
در این مقاله، با استفاده از خاصیت تحدب نمایی یک تابع مانع، یک روش نقطه درونی نشدنی را برای مساله حاصل‌ضرب دکارتی مکملی خطی افقی روی مخروطهای متقارن ارایه میدهیم. در این روش، از گام‌های کامل نسترو-تاد استفاده کرده و نشان میدهیم که الگوریتم منظور شده خوش تعریف است. کران تکرار الگوریتم با بهترین کران تکرار شناخته شده برای مسایل حاصل‌ضرب دکارتی مکملی خطی افقی روی مخروطهای متقارن منطبق است. هزینه اجرای یک تکرار عملیات حسابی است.
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