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A sufficient condition for the Gauss–Seidel iteration to converge for a system of linear equations is that the coefficient matrix is

2358Medium DSSSB TGT Computer Science 0 replies 1 views
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A sufficient condition for the Gauss–Seidel iteration to converge for a system of linear equations is that the coefficient matrix is

  • Astrictly diagonally dominant
  • Bsingular
  • Clower triangular with a zero diagonal
  • Dskew-symmetric
Correct answer: A

Explanation

If the matrix is strictly diagonally dominant (each diagonal element is larger in magnitude than the sum of the other elements of its row), Gauss–Seidel converges for any starting vector.
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