Journal of Lanzhou University of Technology ›› 2021, Vol. 47 ›› Issue (5): 155-161.

• Scientific • Previous Articles     Next Articles

New criteria based H-tensors for identifying the positive definiteness of multivariate homogeneous forms

SUN De-shu, BAI Dong-jian, WANG Feng   

  1. College of Data Science and Information Engineering, Guizhou Minzu University, Guiyang 550025
  • Received:2020-06-15 Online:2021-10-28 Published:2021-11-18

Abstract: Some practical conditions for H-tensors are provided by constructing different positive diagonal matrices and applying some techniques of inequalities. As applications, new methods for the positive definiteness of even-order homogeneous multivariate polynomial are presented. Numerical examples are given to illustrate the feasibility of the new method.

Key words: homogeneous polynomial, H-tensors, positive definiteness, diagonally dominant

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