On the Connection between Kronecker and Hadamard Convolution Products of Matrices and Some Applications | Zendy

Adem Kılıçman | Zendy; Zeyad Al–Zhour | Zendy

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On the Connection between Kronecker and Hadamard Convolution Products of Matrices and Some Applications

Author(s) -

Adem Kılıçman,

Zeyad Al–Zhour

Publication year - 2009

Publication title -

journal of inequalities and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.735

H-Index - 50

eISSN - 1029-242X

pISSN - 1025-5834

DOI - 10.1155/2009/736243

Subject(s) - mathematics , convolution (computer science) , kronecker product , hadamard product , hadamard transform , kronecker delta , connection (principal bundle) , hadamard three lines theorem , pure mathematics , complex hadamard matrix , product (mathematics) , hadamard matrix , algebra over a field , mathematical analysis , computer science , geometry , physics , quantum mechanics , machine learning , artificial neural network

We are concerned with Kronecker and Hadamard convolution products and present some important connections between these two products. Further we establish some attractive inequalities for Hadamard convolution product. It is also proved that the results can be extended to the finite number of matrices, and some basic properties of matrix convolution products are also derived

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