Abstract
Ushbu tezisda hosilasi mavjud bo‘lmagan yoki ayrim nuqtalarda uzilish va “sinish”larga ega maqsad funksiyalari bilan bog‘liq nodifferensial optimallashtirish masalalarini yechishning zamonaviy sonli yondashuvlari tahlil qilinadi. Subgradient, bundle, proksimal, gradient sampling hamda hosilasiz global qidiruv usullarining hisoblash xususiyatlari va qo‘llanish chegaralari ko‘rib chiqilgan. Shuningdek, mazkur algoritmlarning Python muhitida NumPy va SciPy kutubxonalari yordamida dasturiy realizatsiyasi, algoritm tanlashda aniqlik, barqarorlik va hisoblash xarajatlari o‘rtasidagi muvozanat masalalari yoritilgan. Tahlil natijalari nodifferensial masalalarda bitta universal algoritm mavjud emasligini, masala strukturasi va o‘lchamiga mos gibrid yondashuvlar amaliy jihatdan samaraliroq ekanini ko‘rsatadi.
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