Semicircular Law for Hadamard Products

Author(s):  
Zhidong Bai ◽  
Jack W. Silverstein
2008 ◽  
Vol 337 (2) ◽  
pp. 1142-1150 ◽  
Author(s):  
Hasi Wulan ◽  
Yanhua Zhang
Keyword(s):  

Bernoulli ◽  
2018 ◽  
Vol 24 (3) ◽  
pp. 2358-2400 ◽  
Author(s):  
Friedrich Götze ◽  
Alexey Naumov ◽  
Alexander Tikhomirov ◽  
Dmitry Timushev
Keyword(s):  

Author(s):  
Shaun M. Fallat ◽  
Charles R. Johnson

This chapter introduces the Hadamard (or entrywise) product and offers a survey of the known results pertaining to Hadamard products of TN matrices, including a note on Hadamard powers. The well-known fact that TP matrices are not closed under Hadamard multiplication has certainly not deterred researchers from this interesting topic. In fact, it can be argued that this has fueled considerable investigations on when such closure issues, with particular attention being paid to specific subclasses of TP/TN matrices. Hence, the chapter first defines and denotes the Hadamard product of two m-by-n matrices A = [asubscript ij] and B = [bsubscript ij] before turning to a number of concepts connected with Hadamard products and Hadamard powers of TPₖ matrices.


1984 ◽  
Vol 16 (1-4) ◽  
pp. 197-213 ◽  
Author(s):  
Marvin Marcus ◽  
Kent Kidman ◽  
Markus Sandy

1999 ◽  
Vol 106 (1) ◽  
pp. 36-42 ◽  
Author(s):  
L. R. Bragg
Keyword(s):  

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