Khatri-Rao Matrix ProductOriginal by Michael CysouwUniv. Marburgminor tweaksbug fixes etcby Martin Maechler
importantroleinstatisticsandeconometrics.RelevanttothesetWOmatrixproducts,theKha— tri—RaoproductA *BandTracy—SinghproductAoBofthepartitionedmatricesareclaimedto begeneralizedHadamardandKroneckerproducts.Recently.LiuS⋯ obtainedsomelowner partialorderinginequalitiesandequalitiesinvolvingtheKhatri—Raoproduct. ...
·R ao product of the specif i c matri·· ces ,such as positive matrix ,semi— positive matrix ,nonnegative matrix ,H ermite matrix are presented.The opera— tion of conjugate transpose on t h e generalized Khatri— Rao product is deduced out.Moreover,some impor t ant ine- qualities ...
An Extension of Khatri - Rao Product of Matrix TANC Feng - xiang, FANC Xiu - nan (College of Natural Science,Jiamusi University,Jiamusi I54007,China) Abstract: From the genera ized Khatri - Rao product given by n times mu tinomia of(x,y),f(x,y) = 】 n i, = 0 a i x i y...
Then we present two inequalities for the block Hadamard product and the Khatri-Rao product respectively. The inequalities obtained extend the result of Liu et al. Keywords: determinantal inequality, block Hadamard product, Khatri-Rao product, positive definite matrix Citation: Sheng Dong, ...
通过khatrirao估计到达方向使用压缩感知子空间详解.pdf,Direction-Of-Arrival Estimation via Khatri-Rao Subspace Using Compressed Sensing Hirotaka Mukumoto ∗ , Kazunori Hayashi† and Megumi Kaneko‡ ∗ Graduate School of Informatics, Kyoto University
Liu S: Matrix results on the Khatri-Rao and Tracy-Singh products. Linear Algebra and Its Applications 1999,289(1–3):267–277.MATHMathSciNetCrossRef 6. Liu S: Several inequalities involving Khatri-Rao products of positive semidefinite matrices. Linear Algebra and Its Applications 2002,354(1–...
关键词分块矩阵;Khatri—Rao积{Kroneeker积;Hadamard积;撇阵不等式; 酶缝蘧不等式;迹不等式。 巾图分类号0151.21 Abstract Inthisdissertation,westudy akindofblockmatrixKronecker product whichis claimedKhatri—Rao product andestablishsome inequalities
≥λ m (A)(≥0)The Hadamard product A ★· B and Kronecker product A B of matrices A and B play animportant role in statistics and econometrics.Relevant to these two matrix products, the Kha-tri-Rao product A *B and Tracy-Singh product A o B of the partitioned matrices are claimed...
Keywordsmatrix;Khatri2Raoproduct;Hadamardproduct;Kroneckerproduct 文[1～2]分别给出了Kronecker积,Hadamared积与Khatri2Rao积的基本定义与性质,本文在此基础上通过给出广义Khatri2Rao积f(A,B)的定义,并利用文[3～4]的结论,研究正定矩阵、半正定矩阵、非负矩阵、Hermite矩阵的广义Khatri2Rao积的特殊性质及其不等式...