Бақылау сұрақтары:
1. Теңдеу түбірі дегеніміз не?
2. түбір табудың есептеу әдісінің жинақталуының реті мен жылдамдығын анықтау.
3. Түбір іздеудің итерационды процестің соңғы критериі.
4. Сызықтық емес теңдеулер жүйесін есептеудің хорд әдісі?
5. Сызықтық емес теңдеулер жүйесін есептеудің кескіндеу әдісі?
Дәріс 3
Тақырыбы: Сызықты емес теңдеуді шешу. Хорда (қиюшы) әдісі
Мақсаты: Есептерді итерация әдісімен есептеуді үйрету. Оның геометриялық интерпретациясы туралы ұғым беру.
Хорда (қиюшы) әдісі
Жанама әдісін жүзеге асыру барысында, функиясының мәнін ғана емес оның туындысының мәнінде есептеу қажетті. Бірақ Ньютон әдісінің тек мәнін есептеумен шектелетін нұсқасы бар.
а) Бірінші тәсіл
Егер деп алып, с мәні ретінде кесіндісінің шеткі нүктелерінің бірі алынады және ол нүктеде шарты орындалады. Осыдан итерациялық әдіс
![](data:image/png;base64,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)
реккуренттік қатынаспен анықталатын хорда әдісіне (қиюшы әдісіне) келеміз.
мәні ретінде кесіндісінен с мәні таңдағаннан қалған екінші шеткі нүктесі алынады (яғни, егер болса, онда немесе керісінше).
Тізбек реккуренттік қатынастың формуласы бойынша құрылады. Жуықтау түбірінің бағалауы
теңсіздігінің көмегімен анықталады.
Әдістің геометриялық мағынасы төмендегі суретте көрсетілген. Берілген жағдайда . мәніне қисықтың шеттерін қосатын хорданың абсцисса осімен қиылысу нүктесіне сәйкес келеді. Кейін қисықтың бойынан абсцисасы болатын нүкте табылып, хорда жүргізіледі және т.б.
Достарыңызбен бөлісу: |