Computation of Transmission Eigenvalues by the Regularized Schur Complement for the Boundary Integral Operators

This paper is devoted to the computation of transmission eigenvalues in inverse acoustic scattering theory. problem first reformulated as a two by boundary system integral equations. Next, utilizing Schur complement technique, we develop operator with regularization obtain reduced The Nystrom discretization then used an eigenvalue for matrix. We employ recursive method numerical matrix eigenvalue. Numerical results show that proposed efficient and reduces computational costs.