Method

Gauss-Seidel method

Gauss-Seidel method
  1. What is the formula for Gauss-Seidel method?
  2. What does the Gauss-Seidel method do?
  3. Which method is similar to Gauss-Seidel method?
  4. What is the main difference between Jacobi's method and Gauss-Seidel?

What is the formula for Gauss-Seidel method?

The general iterative formulas can be given as: x k + 1 = Hxk ; k = 1, 2, 3, … Where xk + 1 and xk are approximations for the exact root of Ax = B at (k + 1)th and kth iterations. H is an iteration matrix that depends on A and B.

What does the Gauss-Seidel method do?

The Gauss–Seidel method is an iterative technique for solving a square system of n (n=3) linear equations with unknown x. , to find the system of equation x which satisfy this condition.

Which method is similar to Gauss-Seidel method?

7.2. 2 Gauss–Seidel or Successive Displacement Method. Gauss–Seidel method is an improved form of Jacobi method, also known as the successive displacement method.

What is the main difference between Jacobi's method and Gauss-Seidel?

The difference is that in the Jacobi method the values corresponding to one iteration are calculated and ALL those values are used for the next iteration, while in the Gauss-Seidel method, the newly calculated values of the unknowns are used immediately upon request even in the same iteration.

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