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Jacobi method in linear systems

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0

Hello I would like to use the jacobi method in my own function to get the best guesses for b1, b2 and b3 in the displayed image.

So far I tried this function I made which gave me answers [2, 4, 1.625].
The right answers are however : [-1, 3, 2]. What am I doing wrong ?

jacobi <- function(x, y)
 b <- matrix(0,3)
 n <- nrow(b)
 som <- 0
 for (i in 1:n) 
 for (j in 1:n) 
 if (i != j)
 som = x[i,j]*b[j]+som
 
 
 u[i] <- (y[i]-som)/x[i,i]
 b<-u
 
 print(b)


D <- matrix(c(4,3,-2,2,-5,3,3,2,8),3,3)
E <- matrix(c(8,-14,27))
jacobi(D,E)

r

share|improve this question

edited Mar 26 at 5:21

Z.Lin

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asked Mar 25 at 16:18

CodeNoobCodeNoob

111 bronze badge

add a comment | 

0

Hello I would like to use the jacobi method in my own function to get the best guesses for b1, b2 and b3 in the displayed image.

So far I tried this function I made which gave me answers [2, 4, 1.625].
The right answers are however : [-1, 3, 2]. What am I doing wrong ?

jacobi <- function(x, y)
 b <- matrix(0,3)
 n <- nrow(b)
 som <- 0
 for (i in 1:n) 
 for (j in 1:n) 
 if (i != j)
 som = x[i,j]*b[j]+som
 
 
 u[i] <- (y[i]-som)/x[i,i]
 b<-u
 
 print(b)


D <- matrix(c(4,3,-2,2,-5,3,3,2,8),3,3)
E <- matrix(c(8,-14,27))
jacobi(D,E)

r

share|improve this question

edited Mar 26 at 5:21

Z.Lin

15.5k33 gold badges2323 silver badges4646 bronze badges

asked Mar 25 at 16:18

CodeNoobCodeNoob

111 bronze badge

add a comment | 

Hello I would like to use the jacobi method in my own function to get the best guesses for b1, b2 and b3 in the displayed image.

So far I tried this function I made which gave me answers [2, 4, 1.625].
The right answers are however : [-1, 3, 2]. What am I doing wrong ?

jacobi <- function(x, y)
 b <- matrix(0,3)
 n <- nrow(b)
 som <- 0
 for (i in 1:n) 
 for (j in 1:n) 
 if (i != j)
 som = x[i,j]*b[j]+som
 
 
 u[i] <- (y[i]-som)/x[i,i]
 b<-u
 
 print(b)


D <- matrix(c(4,3,-2,2,-5,3,3,2,8),3,3)
E <- matrix(c(8,-14,27))
jacobi(D,E)

r

share|improve this question

edited Mar 26 at 5:21

Z.Lin

15.5k33 gold badges2323 silver badges4646 bronze badges

asked Mar 25 at 16:18

CodeNoobCodeNoob

111 bronze badge

jacobi <- function(x, y)
 b <- matrix(0,3)
 n <- nrow(b)
 som <- 0
 for (i in 1:n) 
 for (j in 1:n) 
 if (i != j)
 som = x[i,j]*b[j]+som
 
 
 u[i] <- (y[i]-som)/x[i,i]
 b<-u
 
 print(b)


D <- matrix(c(4,3,-2,2,-5,3,3,2,8),3,3)
E <- matrix(c(8,-14,27))
jacobi(D,E)

share|improve this question

edited Mar 26 at 5:21

Z.Lin

15.5k33 gold badges2323 silver badges4646 bronze badges

asked Mar 25 at 16:18

CodeNoobCodeNoob

111 bronze badge

share|improve this question

edited Mar 26 at 5:21

Z.Lin

15.5k33 gold badges2323 silver badges4646 bronze badges

asked Mar 25 at 16:18

CodeNoobCodeNoob

111 bronze badge

edited Mar 26 at 5:21

Z.Lin

15.5k33 gold badges2323 silver badges4646 bronze badges

edited Mar 26 at 5:21

Z.Lin

15.5k33 gold badges2323 silver badges4646 bronze badges

asked Mar 25 at 16:18

CodeNoobCodeNoob

111 bronze badge

asked Mar 25 at 16:18

CodeNoobCodeNoob

111 bronze badge