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.

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No references found			Buse, Refinements of Hadamard's inequality for multiple integrals, Utilitas Mathematica 47(1995), 193-198. Inequalities of Fejer type for g-convex dominated functions by Hwang, Shiow-Ru; Ho, Ming-In; Wang, Chung-Shin / Tamsui Oxford Journal of Mathematical Sciences Pecaric, Hadamard's inequality for r-convex functions, J. On An Inequality related to Hadamard * by Yang, Gou-Sheng; Chou, Yi-Ming; Ho, Ming-In / Tamsui Oxford Journal of Mathematical Sciences is known in the literature as Gram's inequality while the second one is known as Hadamard's inequality. A survey on inequalities for hermitian forms by Dragomir, Sever S. / Tamsui Oxford Journal of Mathematical Sciences			hacking run Hacking X for Y hacking-out tool Hackintosh hackish hackishness hackitude hackle Hacklebarney State Park hackling hackly fracture Hackman Hackman, Gene hackmanite hackmarack hackmatack hackney Hacksaw Hacksaw, Power Haco Hadad Hadadezer Hadaka Matsuri hadal Hadamard's conjecture Hadamard's inequality Hadamard's three-circle theorem Hadamard, Jacques Hadano Hadar Hadar remains Hadarezer Hadas, Moses Hadassah Hadda Haddam Meadows State Park Haddington Haddock Haddonfield hade Hadean hadedah Haden Haden, Sir Francis Seymour Hadera Haderslev Hades Hadewijch Hadfield manganese steel Hadfield Steel Hadhramaut			had wits about had wits about had wits about had work cut out had work cut out had work cut out had work cut out had work cut out Hada Hadad Hadad Hadad Hadad (ancient Middle Eastern religions) Hadadezer Hadadezer bar Rehob Hadaka Matsuri hadal hadal hadal Hadal zone Hadal zone Hadamard Hadamard disaster Hadamard disaster Hadamard inequality Hadamard matrix Hadamard three-circle theorem HADAMARD Transform Spectrometer Hadamard's conjecture Hadamard's gap theorem Hadamard's inequality Hadamard's three-circle theorem Hadamard, Jacques Hadamard-based Multi-User Detector Hadano Hadano, Kanagawa Hadar Hadar (astronomy) Hadar (astronomy) Hadar remains HADARC Hadarezer HADARS Hadas Hadas, Moses Hadassah Hadassah (Bible) Hadassah Elderly Depression Screening Scale Hadassah International Hadassah International Research Institute on Jewish Women Hadassah Medical Organization Hadassah, the Women's Zionist Organization of America hadaway HADB HADBS HADC

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