Which of the following is an assumption of Jacobi’s method?
A. The coefficient matrix has no zeros on its main diagonal
B. The rate of convergence is quite slow compared with other methods
C. Iteration involved in Jacobi’s method converges
D. The coefficient matrix has zeroes on its main diagonal
Answer:A
Which of the following is an assumption of Jacobi’s method?
A. The coefficient matrix has no zeros on its main diagonal B. The rate of convergence is quite slow compared with other methods C. Iteration involved in Jacobi’s method converges D. The coefficient matrix has zeroes on its main diagonal
Explanation: This is because it is the method employed for solving a matrix such that for every row of the matrix, the magnitude of the diagonal entry in a row is larger than or equal to the sum of the magnitudes of all the other (non-diagonal) entries in that row. This helps in converging the result and hence it is an assumption.