Which method is best suitable to solve the linear equation?

Best Method to Solve a Linear System

• If both equations are presented in slope intercept form \begin{align*}(y=mx+b)\end{align*}, then either graphing or substitution would be most efficient.
• If one equation is given in slope intercept form or solved for \begin{align*}x\end{align*}, then substitution might be easiest.

Which of the iterative methods used for solving system of linear equations converges faster Why?

The modified Jacobi method also known as the Gauss Seidel method or the method of successive displacement is useful for the solution of system of linear equations. Finally, the results showed that the modified Jacobi method is more efficient, accurate and converges faster than its counterpart “the Jacobi Method”.

Which of the following method is iterative to solve the solution of linear equation?

Which of the following is an iterative method? Explanation: Gauss seidal method is an iterative method. Gauss elimination is based upon elimination of unknowns.

Why Gauss Seidel method is better than Gauss Jacobi method?

The difference between the Gauss–Seidel and Jacobi methods is that the Jacobi method uses the values obtained from the previous step while the Gauss–Seidel method always applies the latest updated values during the iterative procedures, as demonstrated in Table 7.2.

Which of the iterative methods of solving systems of linear algebraic equations do you prefer?

So here is the full definition of the question that we prefer goals, elimination method for solving a system of linear algebraic equations from the determinant itself. We can know if the system has no solution or infinite solution without actually knowing the solution.

What is direct method and iterative method?

Direct methods compute the solution to a problem in a finite number of steps. In contrast to direct methods,iterative methodsare not expected to terminate in a number of steps. Starting from an initial guess, iterative methods form successive approximations thatconvergeto the exact solution only in the limit.

Which methods are iterative method?

Iterative Methods

• The Jacobi Method. Convergence of the Jacobi method.
• The Gauss-Seidel Method.
• The Successive Overrelaxation Method. Choosing the Value of.
• The Symmetric Successive Overrelaxation Method.
• Notes and References.

Which is more accurate Gauss Seidel or Jacobi?

The results show that Gauss-Seidel method is more efficient than Jacobi method by considering maximum number of iteration required to converge and accuracy.