On several matrix Kantorovich-type inequalities.
Liu, Zhibing, Lu, Linzhang, Wang, Kanmin (2010)
Journal of Inequalities and Applications [electronic only]
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Liu, Zhibing, Lu, Linzhang, Wang, Kanmin (2010)
Journal of Inequalities and Applications [electronic only]
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Lewis, A.S. (1995)
Journal of Convex Analysis
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Eduardo Marques de Sá (1980)
Czechoslovak Mathematical Journal
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Zhang, Xian, Yang, Zhongpeng, Cao, Chongguang (2002)
Applied Mathematics E-Notes [electronic only]
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Xian Zhang, Zhong Peng Yang, Chong-Guang Cao (2002)
Archivum Mathematicum
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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.
J.K. Baksalary, S. Puntanen (1991)
Aequationes mathematicae
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