Further inequalities involving the Khatri-Rao product
نویسندگان
چکیده
منابع مشابه
Ela Some Inequalities for the Khatri - Rao Product of Matrices
Several inequalities for the Khatri-Rao product of complex positive definite Hermitian matrices are established, and these results generalize some known inequalities for the Hadamard and Khatri-Rao products of matrices.
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In this paper, we obtain some matrix inequalities in Löwner partial ordering for Khatri-Rao products of positive semidefinite Hermitian matrices. Furthermore, we generalize the Oppenheim’s inequality, with which we will improve some recent results.
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The Khatri-Rao and Tracy-Singh products for partitioned matrices are viewed as generalized Hadamard and generalized Kronecker products, respectively. We define the KhatriRao and Tracy-Singh sums for partitioned matrices as generalized Hadamard and generalized Kronecker sums and derive some results including matrix equalities and inequalities involving the two sums. Based on the connection betwe...
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The columnwise Khatri-Rao product of two matrices is an important matrix type, reprising its role as a structured sensing matrix in many fundamental linear inverse problems. Robust signal recovery in such inverse problems is often contingent on proving the restricted isometry property (RIP) of a certain system matrix expressible as a Khatri-Rao product of two matrices. In this work, we analyze ...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2009
ISSN: 0024-3795
DOI: 10.1016/j.laa.2008.12.004