GATE_AE_2027_MOCK_04_Q15
GATE 2027 Aerospace Engineering All-India Master Mock 04 (Aerospace Structures, Thin-Walled Beams & Aeroelasticity)
MCQ · 1 Mark
Engineering Mathematics • Numerical Methods • Numerical Linear Algebra & Integration
Gauss-Seidel iteration method for solving Ax = b converges for any initial guess if the coefficient matrix A is:
(A) Strictly diagonally dominant
(B) Skew-symmetric
(C) Singular
(D) Orthogonal only
Answer Key:
A
Step-by-Step Verified Solution
### Solution: A sufficient condition for convergence of the Gauss-Seidel method is that matrix A is strictly diagonally dominant. Correct: A.