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19-08-2020-SeidelSistema
# Método de Gauss-Jacobi 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 c=0*v B=0*A b=v Gjacobi<-function(A,b,erro){ n=length(b) Erro=erro+1 for ( i in 1:n){ 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 x=c-B%*%y cont=cont+1 Erro=sum(abs(x-y)) if (cont>=10^6){Erro=0}} x } x=Gjacobi(A,b,10^(-6)) x A%*%x GSeidel<-function(A,b,erro){ n=length(b) Erro=erro+1 for ( i in 1:n){ 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 for (i in 1:n){ x[i]=c[i]-B[i,]%*%x} cont=cont+1 Erro=sum(abs(x-y)) if (cont>=10^6){Erro=0}} x } x=GSeidel(A,b,10^(-6)) x A%*%x
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