7/25/2019 ED_AV2_MNC_2015_1
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Estudo Dirigido- AV2 MTODOS NUMRICOS COMPUTACIONAIS Prof. Paulo
o!fi"
S#$a o sist#"a li!#ar%x1+3x2x3=2
x1+3x
20,9x
3=1
1,5x1+2x
2+5x
3=3,5
&' D#s(r#)a-o !a for"a "atri(ial%
[ ]
[x1
x2
x3
]=[ ]
2' V#rifi*u# s# + diago!al do"i!a!t# (o" o (rit+rio |aii|>j
i
|aij|
,' Para x(0)=[
0
0
0] (al(ul# a ri"#ira it#ra/0o d# 1auss-S#id#l usa!do%
x1(1)=
1
a11 (b1a12x2
(0)a13x3
(0 )
)
x2
(1)= 1
a22
(b2a21x1(1)a13x3(0 ) )
x3
(1)=
1
a33
(b3a31x1(1)a32x2(1 ))
' Cal(ul# x (2) # x (3) usa!do !32 # !3,%
x1(n)= 1
a11
(b1a12x2(n1)a13x3(n1) )
x2
(n)= 1
a22
(b2a21x1(n )a23x3(n1) )
x3
(n)= 1
a33
(b3a31x1(n )a32x2(n) )
4' Para o (o!$u!to d# o!tos (orr#la(io!ados%
i 5 & 2 , 4 6 78i 54 &5 &4 25 24 ,5 ,4 5
P98i' ,2 ,4 ,: 6 4, 6: 7 ;2
Cal(ul# aro8i"ada"#!t# a i!t#gral !u"+ri(a usa!do o "+todo do
tra+
