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Here is my solution: x[1] = (y[1] – c[3] * x[3]) / a[1]; x[2] = (y[2] – c[4] * x

ID: 3839516 • Letter: H

Question

Here is my solution:

x[1] = (y[1] – c[3] * x[3]) / a[1];

x[2] = (y[2] – c[4] * x[4]) / a[2];

for(i = 3; i <= n–2; i++){

     x[i+1] = (y[i+1] - b[i+1] * x[i+1] – c[i+1] * x[i+2]) / a[i+1];

}//endfor

x[n-1] = (y[n-1] – b[n-3] * x[n-3]) / a[n-1];

x[n] = (y[n] – b[n-2] * x[n-2]) / a[n];

I'm having trouble with the statement inside the for loop. I can't seem to trace it carefully. Can someone tell me what needs to be fixed inside that for loop?

2) Write an algorithm to apply a single iteration of Gauss-Seidel to an nxn pentadiagonal system of the following form: a 0 c a yn-1 n-1 n-2 Assume that ai is never zero and that n 3

Explanation / Answer

x[1] = (y[1] – c[3] * x[3]) / a[1];

x[2] = (y[2] – c[4] * x[4]) / a[2];

for(i = 3; i <= n–2; i++){

     x[i] = (y[i] - b[i-2] * x[i-2] – c[i+1] * x[i+1]) / a[i];

}//endfor

x[n-1] = (y[n-1] – b[n-3] * x[n-3]) / a[n-1];

x[n] = (y[n] – b[n-2] * x[n-2]) / a[n];

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