In this talk,we focus on the computation of some smallest positive real eigenpairs for interior transmission eigenvalue problems.Based on continuous finite elements,we derive a symmetric quadratic eigenvalue problem(QEP)to eliminate nonphysical zeros while preserve all nonzero ones.We then transform the QEP to parameterized symmetric definite generalized eigenvalue problems and develop a novel secant-type iteration.Numerical experiments show that the proposed method can find those desired eigenpairs accurately,efficiently,and robustly.