ncku-talk2021-04-08

Colloquium

DATE 2021-04-08　16:10-17:00

PLACE 數學館3174教室

SPEAKER 劉青松副教授（高雄大學應用數學系）

TITLE The 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.

Colloquium

DATE	2021-04-08　16:10-17:00

PLACE	數學館3174教室

SPEAKER	劉青松副教授（高雄大學應用數學系）

TITLE	The 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.