Colloquium DATE 2017-04-20¡@15:10-16:00 PLACE ¼Æ¾ÇÀ]3174±Ð«Ç SPEAKER ³¢©¨©Ó ±Ð±Â¡]°ª¶¯¤j¾ÇÀ³¥Î¼Æ¾Ç¨t¡^ TITLE Continuation 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.
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