Abstract
Rayleigh Quotient Iteration is an optimal shifted inverse iteration method that converges in less iteration than the other standard methods. Finite Element Method (FEM) is used to solve for the eigenvalues of a 2D rectangular waveguide using first order triangular elements. The FEM requires a large matrix equation to be solved and thus various techniques are sought to reduce the computation time. By using the Raleigh Quotient Iteration Method, we reduce computation time which saves memory. Our calculation gives good results compared to other standard techniques such as QR method, QZ method etc.
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