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 ?
Dragomir, On the Hadamard's inequality for convex functions of the co-ordinates in a rectangle from the plane, Taiwanese J.
Dragomir, On quasi convex functions and Hadamard's inequality, RGMIA Research Report Collection, 6(3)(2003) Article 1.
Tseng, On a weighted generalization of Hadamard's inequality for G-convex functions, Tamsui Oxford Journal of Math.
Fitzpatrick, The Hadamard's inequality for s-convex function in the first sense, Demonstratio Math.
Pecaric, Hadamard's inequality for r-convex functions, J.