Hadamard's inequality

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Hadamard's inequality

[′had·ə‚märdz ‚in·ə¦kwäl·əd·ē]
(mathematics)
An inequality that gives an upper bound for the square of the absolute value of the determinant of a matrix in terms of the squares of the matrix entries; the upper bound is the product, over the rows of the matrix, of the sum of the squares of the absolute values of the entries in a row.
References in periodicals archive ?
In [4] Cerone and Dragomir have estimated differences of the Hadamard inequality as follows.
Ujevic in [8] also estimated differences of the Hadamard inequality.
The aim of this paper is in fact to establish proof of well known Ostrowski inequality in a very straightforward way, and to establish bounds of a difference of the Hadamard inequality given in [4, 8] in very simple way, here there is no need to define a two variable kernel.
Dinu, "A weighted Hermite Hadamard inequality for Steffensen-Popoviciu and Hermite-Hadamard weights on time scales," Analele Stiinfifice ale Universitafii "Ovidius" Constanfa.
Lanina, On the Generalized Hadamard Inequality for Multiple Integrals, Moscow University Math.