標題: Continuation methods for computing Z-/H-eigenpairs of nonnegative tensors
作者: Kuo, Yueh-Cheng
Lin, Wen-Wei
Liu, Ching-Sung
應用數學系
Department of Applied Mathematics
關鍵字: Continuation method;Nonnegative tensor;Z-eigenpair;H-eigenpair;Tensor eigenvalue problem
公開日期: 1-Oct-2018
摘要: In this paper, 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. (C) 2018 Elsevier B.V. All rights reserved.
URI: http://dx.doi.org/10.1016/j.cam.2018.02.027
http://hdl.handle.net/11536/147929
ISSN: 0377-0427
DOI: 10.1016/j.cam.2018.02.027
期刊: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume: 340
起始頁: 71
結束頁: 88
Appears in Collections:Articles