Book ChapterDOI
Topics in matrix analysis: The Hadamard product
Roger A. Horn,Charles R. Johnson +1 more
- pp 298-381
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The article was published on 1991-04-01. It has received 270 citations till now. The article focuses on the topics: Complex Hadamard matrix & Hadamard's inequality.read more
Citations
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Knowledge Graph Embedding: A Survey of Approaches and Applications
TL;DR: This article provides a systematic review of existing techniques of Knowledge graph embedding, including not only the state-of-the-arts but also those with latest trends, based on the type of information used in the embedding task.
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Objective assessment of image quality. II. Fisher information, Fourier crosstalk, and figures of merit for task performance
TL;DR: In this paper, the authors derived figures of merit for image quality on the basis of the performance of mathematical observers on specific detection and estimation tasks, which were based on the Fisher information matrix relevant to estimation of the Fourier coefficients and closely related Fourier crosstalk matrix introduced earlier by Barrett and Gifford.
Journal ArticleDOI
Derivatives of the Matrix Exponential and Their Computation
Igor Najfeld,Timothy F. Havel +1 more
TL;DR: In this article, the authors derived a simple relation between the gradients of their entries and the directional derivatives in the elementary directions, and constructed and optimized two new algorithms for computing the directional derivative.
Hadamard, Khatri-Rao, Kronecker and Other Matrix Products
Shuangzhe Liu,Goetz Trenkler +1 more
Abstract: In this paper we present a brief overview on Hadamard, KhatriRao, Kronecker and several related non-simple matrix products and their properties. We include practical applications, in different areas, of some of the al-
Journal ArticleDOI
Majorizations and inequalities in matrix theory
TL;DR: In matrix theory, majorization plays a significant role as discussed by the authors, and majorization relations among eigenvalues and singular values of matrices produce a lot of norm inequalities and even matrix inequalities.
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Book
Topics in Matrix Analysis
TL;DR: The field of values as discussed by the authors is a generalization of the field of value of matrices and functions, and it includes singular value inequalities, matrix equations and Kronecker products, and Hadamard products.