Basic HTML version of Foils prepared 8 November 1995

Foil 25 Pseudo Code for the Jacobi Method

From Fox Presentation Fall 1995 CPS615 Basic Simulation Track for Computational Science -- Fall Semester 95. by Geoffrey C. Fox
1 Choose an Initial Guess x(0) to the solution x.
2 for k = 1,2, ......
  • for i = 1,2,...,n
  • s = 0
  • for j = 1,2, ... ,i-1,i+1,...,n
    • s = s + a i,j x j (k-1)
  • end
  • xi(k) = (bi - s)/a i,i
  • end
3 Check Convergence -- continue loop over k if required (e.g. maximum (over i) change |xi(k) -xi(k-1) | is too large)
4 end
in Table To:

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