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![](/i/favi32.png) 3-Ma’ruza: Chiziqli algebraik tenglamalar sistemasini taqribiy yechish Reja-misol. Quyidagi chiziqli tenglamalar sistemasi =10
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səhifə | 4/5 | tarix | 27.12.2023 | ölçüsü | 77,04 Kb. | | #162549 |
| 3-ma\'ruza (1)3.19-misol. Quyidagi chiziqli tenglamalar sistemasi =10-3 aniqlikda Zeydel usuli bilan yeching.
Yechish. Bu tenglamalar sistemasi uchun (3.41) shartning bajarilishini tekshirib ko‘rish qiyin emas. Uni (3.40) ko‘rinishga keltiramiz.
x1=(21.70-1.2x2-2.1x3-0.9x4)/20.9
x2=(27.46-1.2x1-1.5x3-2.5x4)/21.2
x3=(28.76-2.1x1-1.5x2-1.3x4)/19.8
x4=(49.72-0.9x1-2.5x2-1.3x3)/32.1
boshlang‘ich vektorni
kabi tanlab, Zeydel usulini qo‘llaymiz.
K=1 deb, birinchi yaqinlashishni topamiz:
=(21.7-1.1 -2.1 -0.9 )/20.9=
=(21.7-1.56-3.045-1.395)/20.9=0.7512
=(27.46-1.2 -1.5 -2.5 )/21.2=
=(27.46-0.900-2.175-3.875)=0.9674
=(28.76-2.1 -1.5 -1.3 )/19.8=
=(28.76-1.575-1.455-2.013)=1.1977
=(49.72-0.9 -2.5 -1.3 )/32.1=
=(49.72-0.675-2.425-1.56)=1.4037
K=2 bo‘lganda: =13.76062/20.9=0,6558
=21.9902/21.2=0.9996
=23.75180/19,8=1,19959
=44.93971/32.1=1.4000
K=3 bo‘lganda: =13.7213/20.9=0.6557
=21.200528/21.2=1.00002
=23.759844/19.8=1.19999
=44.939909/32.1=1.4000
Bu qadam uchun yaqinlashish sharti bajarildi, demak, berilgan aniqlikdagi yechim:
CHiziqli tenglamalar sistemasini Zeydel usuli bilan hisoblash dasturini beramiz:
{ * --------3.12- Paskal tilida dastur --------- *}
uses crt;
label 40,90,100;
var
n,i,j:integer;
c,c1:real;
a:array[1..5,1..5] of real;
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