Colloquium


DATE2021-04-08 16:10-17:00

PLACE數學館3174教室

SPEAKER劉青松 教授(高雄大學應用數學系

TITLEThe Numerical Methods for Finding Positive Solutions of Nonlinear Eigenvalue Problems

ABSTRACT In this talk, we will introduce nonlinear eigenvalue problems, including tensor eigenvalue problems and nonlinear Schrödinger equations. We will discuss its numerical methods and some numerical results. A great advantage of this method is that it converges quadratically and is positivity preserving in the sense that the vectors approximating the Perron vector (or the ground state vector) are strictly positive in each iteration.