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19-08-2020-GaussSeidelSistema-menos-calc
# Método de Gauss-Seidel c=c(8, 1, 1, 0, 2, 20, 9, 2, 1, 1, 2, 1, 11,2, 0, 3, 2, 1, -8, 1, 2, 1, 2, 3, 10) A=matrix(c,5,5,byrow=TRUE); A # Entrada da matriz A v=c(1,2,3,4,5); v # Entrada do vetor v Gjacobi<-function(A,b,erro){ m=length(b) Erro=erro+1 c=0*v B=0*A for ( i in 1:m){ c[i]=b[i]/A[i,i] B[i,]=A[i,]/A[i,i] B[i,i]=0 } x=0*b cont=1 while (Erro>=erro){ y=x mm=1:m for (i in mm){ p=0 for ( j in mm[-c(i)]){ p=p+B[i,j]*x[j] } x[i]=c[i]-p } cont=cont+1 Erro=sum(abs(x-y)) if (cont>=10^6){Erro=0}} x } x=Gjacobi(A,v,10^(-16)) x A%*%x-v
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