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SSC Applied Mathematics QUESTION #1310
Question 1
In the Gauss-Seidel iterative method, compared to Jacobi's method, the key difference is that:
  • It requires a symmetric coefficient matrix
  • Updated values are used immediately within the same iteration✔️
  • It always diverges for non-diagonal dominant systems
  • It requires more storage
Correct Answer Explanation
In the Gauss-Seidel method, as soon as a new value \(x_i^{(k+1)}\) is computed, it is immediately used in computing the remaining unknowns in the same iteration. Jacobi's method uses only old values from the previous iteration. Gauss-Seidel generally converges faster.