ORTOGONALLASHTIRISH JARAYONINI SODDALASHTIRISHNING DIDAKTIK JIHATLARI VA O‘QUV-TADQIQOT FAOLIYATINI RIVOJLANTIRISH
Ключевые слова:
Evklid fazosi, ortogonal bazis, Gramm-Shmidt jarayoni, proporsional, hisoblash samaradorligiАннотация
Ushbu maqolada Evklid fazosida ixtiyoriy bazisni ortogonal ko`rinishga keltirishning Gramm-Shmidt algoritmi va uning amaliy muammolari tadqiq etilgan. An`anaviy hisoblashlarda yuzaga keladigan murakkab kasrli ifodalar va ularning oqibatida talabalar tomonidan yo`l qo`yiladigan mexanik xatoliklar tahlil qilingan. Maqolada oraliq ortogonal vektorlarni butun sonli ko`rinishga keltirish (proporsional modifikatsiya) orqali algoritmni soddalashtirish metodikasi taklif etildi. To`rt o`lchamli fazo misolida o`tkazilgan tahlillar shuni ko`rsatdiki, ushbu metodika amaliy hisoblash tizimidagi algebraik chalkashliklarni gacha kamaytiradi va dars jarayonida vaqt samaradorligini sezilarli darajada oshiradi.
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