Inequalities involving Khatri-Rao products of Hermitian matrices

  • Zhong-peng Yang
  • Xian Zhang
  • Chong-guang Cao


Recently, several inequalities involving Khatri-Rao products of two four partitioned blocks positive definite real symmetry matrices are established by Liu in [Lin. Alg. Appl. 289(1999):267-277]. We extend these results in two ways. First, the results are extended to two any partitioned blocks Hermitian matrices. Second, necessary and sufficient conditions under which these inequalities become equalities are presented.

AMS Mathematics Subject Classification

15A45 15A69 

Key words and phrases

Matrix inequality Spectral decomposition Hadamard product Khatri-Rao product Tracy-Singh product Kronecker product 


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Copyright information

© Korean Society for Computational and Applied Mathematics 2002

Authors and Affiliations

  1. 1.Department of MathematicsPutian CollegeFujianChina
  2. 2.Department of MathematicsHeilongjiang UniversityHeilongjiangP.R.C.

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