Jacobi and Power Methods Quiz

Jacobi method is best suited for which type of matrix?

• Diagonal

• Triangular

• Diagonally dominant

• Sparse

Which of the following is a key requirement for convergence in Jacobi method?

• Upper triangular matrix

• Symmetric matrix

• Diagonally dominant matrix

• Unit matrix

What is the stopping criterion commonly used in iterative methods?

• Maximum iteration

• Time taken

• Error tolerance

• Loop count

Which method updates all values simultaneously?

• Gauss-Seidel

• Jacobi

• Newton-Raphson

• Secant

Which method updates values immediately as they are computed?

• Jacobi

• Gauss

• Gauss-Seidel

• Bisection

In Jacobi method, which C++ loop is best for iteration?

• do-while

• while

• for

• switch

What is the initial guess used for in iterative methods?

• Final result

• Termination condition

• Starting point

• Error formula

Power method is used to compute:

• Matrix inverse

• Matrix determinant

• Largest eigenvalue

• LU decomposition

In Gauss-Seidel method, the new value is used:

• After all variables updated

• Immediately after computation

• In the next iteration only

• For convergence test

Which C++ data type is best for storing iteration values?

• int

• char

• float

• double