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 on the co-ordinates in a rectangle from the plane," Taiwanese Journal of Mathematics, vol.
Dragomir, A generalization of Hadamard's inequality for isotonic linear functionals,.
Simic, "Stolarsky means and Hadamard's inequality," Journal of Mathematical Analysis and Applications, vol.
Dragomir, On the Hadamard's inequality for convex functions of the co-ordinates in a rectangle from the plane, Taiwanese J.
Tseng, On a weighted generalization of Hadamard's inequality for G-convex functions, Tamsui Oxford Journal of Math.
The following are extensions of Hadamard's inequality: C.
Pearce, "Quasi-convex functions and Hadamard's inequality," Bulletin of the Australian Mathematical Society, vol.