Question

Which of the following is an assumption of
Jacobi's method?
The rate of convergence is quite slow compared with
other methods
The coefficient matrix has no zeros on its main
cliagonal
Iteration involved in Jacobi's method converges
The coefficient matrix has zerces on its main cliagonal​

Answer 1

according to jacobs assumption method the rate of convergence is quite slow compared with other methods

Step-by-step explanation:

hope it helps u

Answer 2

According to the assumptions of Jacobi’s method ‘the coefficient matrix has no zero on its main’ will be the correct answer.

• The first iterative approach to solve a system of linear equations is known as the Jacobi method, after Carl Gustav Jacob Jacobi (1804–1851).
• It is an iterative technique to solve a system of linear equations.
• The diagonally dominant system of linear equations in numerical linear algebra is solved using the Jacobi iterative technique, which is regarded as an iterative process.
• Jacobi’s method has two assumptions.
• There is only one solution to the given system of equations.
• On the major diagonal of the coefficient matrix A, there are no zeros.
• To get a coefficient matrix with nonzero entries on the main diagonal, we should swap the rows or columns if any of the diagonal entries are zero.
• The Jacobi transformation process of matrix diagonalization was the original name for this approach.
• It is also known as Simultaneous displacement method.

Hence, option (b) will be the correct answer.

#SPJ3