|
|||||
|
|
|
|
|
|
|
|
|
The Hadamard product of
A and A∗
Charles Royal Johnson |
|
Vol. 51 (1974), No. 2, 477–481
|
Abstract |
|
Coefficient-wise multiplication was introduced by Hadamard and has been studied for certain square matrices by I. Schur and later authors. For A ∈ Mn(C), the n by n complex matrices, this paper examines the Hadamard product of A and A∗. Upper estimates are given for the largest characteristic root of this necessarily Hermitian product, and three conditions on A sufficient for the product to be positive definite are presented. |
Mathematical Subject Classification 2000
Primary: 15A42
|
Milestones
Received: 26 January 1973
Published: 1 April 1974
|
Authors |
| Charles Royal Johnson | |
|
