
Ushbu maqolada matritsaning xos son va xos vektor tushunchalari, ularni aniqlashning nazariy asoslari hamda amaliy hisoblash metodlari keng yoritilgan. Xos sonlarni topishning klassik determinantga asoslangan usullari bilan bir qatorda, katta o‘lchamli matritsalar uchun samarali bo‘lgan iteratsion algoritmlar, jumladan daraja usuli va QR-algoritmning mohiyati tahlil qilingan. Shuningdek, xos sonlarning karraligi, spektral radius, diagonalizatsiya shakli kabi tushunchalar orqali mavzuning chuqur matematik mazmuni ochib berilgan. Maqolada xos son va xos vektorlarning differensial tenglamalar, dinamik tizimlar, mexanik modellar, iqtisodiy tahlil hamda sun’iy intellekt sohalaridagi amaliy qo‘llanilishiga alohida e’tibor qaratilgan. Tadqiqot natijalari chiziqli algebra fanini o‘rganayotgan talabalar va amaliy masalalar bilan shug‘ullanuvchi mutaxassislar uchun foydali bo‘lishi mumkin.
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 0 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
