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A Note on the Hadamard Product

Published online by Cambridge University Press:  20 November 2018

M. Marcus and
N.A. Khan
M. Marcus
Affiliation:
University of British Columbia, Muslim University Aligarh India
N.A. Khan
Affiliation:
University of British Columbia, Muslim University Aligarh India
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Let A = (aij), B = (bjj), be two n-square matrices over the complex numbers. Then the n-square matrix H = (hjj) = ij(aijb) is called the Hadamard product of A and B, H = AoB, [l; p. 174]. Let the n2 - square matrix K = A⊗B denote the Kronecker product of A and B.

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 2 , Issue 2 , 01 May 1959, pp. 81 - 83
Copyright
Copyright © Canadian Mathematical Society 1959

References

1. Halmos, P.R., Finite dimensional vector spaces, 2nd ed., (New York, 1958).Google Scholar
2. Hamburger, H.L. and Grimshaw, M.F., Linear transformations inn-dimensional vector space, (Cambridge, 1951).Google Scholar
3. Wielandt, H., Unzerlegbare, nicht negative Matrizen, Math. Zeit. 52(1950), 642-648.Google Scholar