scholarly journals New inequalities on eigenvalues of the Hadamard product and the Fan product of matrices

2013 ◽  
Vol 2013 (1) ◽  
Author(s):  
Qian-Ping Guo ◽  
Hou-Biao Li ◽  
Ming-Yan Song
Keyword(s):  
Hadamard Product ◽  
Product Of Matrices ◽  
New Inequalities

scholarly journals On some new bounds for eigenvalues of the Hadamard product and the Fan product of matrices

2013 ◽  
Vol 438 (3) ◽  
pp. 1415-1426 ◽  
Author(s):  
Duanmei Zhou ◽  
Guoliang Chen ◽  
Guoxing Wu ◽  
Xiangyun Zhang
Keyword(s):  
Hadamard Product ◽  
Product Of Matrices

scholarly journals Some inequalities for the Hadamard product of matrices

1996 ◽  
Vol 246 ◽  
pp. 13-16 ◽  
Author(s):  
Miroslav Fiedler ◽  
Thomas L. Markham
Keyword(s):  
Hadamard Product ◽  
Product Of Matrices

scholarly journals Some new bounds on eigenvalues of the Hadamard product and the Fan product of matrices

2010 ◽  
Vol 432 (2-3) ◽  
pp. 536-545 ◽  
Author(s):  
Yao-tang Li ◽  
Yan-yan Li ◽  
Rui-Wu Wang ◽  
Ya-qiang Wang
Keyword(s):  
Hadamard Product ◽  
Product Of Matrices

scholarly journals Khatri-Rao Products for Operator Matrices Acting on the Direct Sum of Hilbert Spaces

2016 ◽  
Vol 2016 ◽  
pp. 1-7 ◽  
Author(s):  
Arnon Ploymukda ◽  
Pattrawut Chansangiam
Keyword(s):  
Tensor Product ◽  
Hilbert Spaces ◽  
Hadamard Product ◽  
Operator Matrices ◽  
Linear Map ◽  
Direct Sum ◽  
Positive Linear Map ◽  
Algebraic Properties ◽  
Product Of Matrices

We introduce the notion of Khatri-Rao product for operator matrices acting on the direct sum of Hilbert spaces. This notion generalizes the tensor product and Hadamard product of operators and the Khatri-Rao product of matrices. We investigate algebraic properties, positivity, and monotonicity of the Khatri-Rao product. Moreover, there is a unital positive linear map taking Tracy-Singh products to Khatri-Rao products via an isometry.

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