Resumen de A successive quadratic approximations method for nonlinear eigenvalue problems

Xiaoyan Qian, Li Wang, Yongzhong Song

• Numerical methods for matrix eigenvalue problems that are nonlinear in the eigenvalue parameter are discussed. We propose a successive quadratic approximations method, which reduces the nonlinear eigenvalue problem into a sequence of quadratic problems. The convergence for the new method is investigated. Numerical experiments illustrate the effectiveness of the method.