Colloquium


DATE2017-04-20 15:10-16:00

PLACE數學館3174教室

SPEAKER郭岳承 教授(高雄大學應用數學系

TITLEContinuation Methods for Computing Z-/H-eigenpairs of Nonnegative Tensors

ABSTRACT In this talk, a homotopy continuation method for the computation of nonnegative Z-/H-eigenpairs of a nonnegative tensor is presented. We show that the homotopy continuation method is guaranteed to compute a nonnegative eigenpair. Additionally, using degree analysis, we show that the number of positive Z-eigenpairs of an irreducible nonnegative tensor is odd. A novel homotopy continuation method is proposed to compute an odd number of positive Z-eigenpairs, and some numerical results are presented.