Displaying similar documents to “Inequalities involving Khatri-Rao products of positive semi-definite matrices.”

Matrix inequalities involving the Khatri-Rao product

Xian Zhang, Zhong Peng Yang, Chong-Guang Cao (2002)

Archivum Mathematicum

Similarity:

We extend three inequalities involving the Hadamard product in three ways. First, the results are extended to any partitioned blocks Hermitian matrices. Second, the Hadamard product is replaced by the Khatri-Rao product. Third, the necessary and sufficient conditions under which equalities occur are presented. Thereby, we generalize two inequalities involving the Khatri–Rao product.

Some Special Matrices of Real Elements and Their Properties

Xiquan Liang, Fuguo Ge, Xiaopeng Yue (2006)

Formalized Mathematics

Similarity:

This article describes definitions of positive matrix, negative matrix, nonpositive matrix, nonnegative matrix, nonzero matrix, module matrix of real elements and their main properties, and we also give the basic inequalities in matrices of real elements.