Results 31 to 40 of about 649,170 (367)
Positive definite solution of non-linear matrix equations through fixed point technique
AIMS Mathematics, 2022 The goal of this study is to solve a non-linear matrix equation of the form $ \mathcal{X} = \mathcal{Q} + \sum\limits_{i = 1}^{m} \mathcal{B}_{i}^{*}\mathcal{G} (\mathcal{X})\mathcal{B}_{i} $, where $ \mathcal{Q} $ is a Hermitian positive definite ...
Sourav Shil, Hemant Kumar Nashine
doaj +1 more source
Journal of King Saud University: Science, 2014 In this paper, we provide some interested operator inequalities related with non-negative linear maps by means of concavity and convexity structure, and also establish some new attractive inequalities for the Khatri–Rao products of two or more positive ...
Zeyad Abdel Aziz Al-Zhour
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Active Positive-Definite Matrix Completion
SDM, 2017 In many applications, e.g., recommender systems and biological data analysis, the datasets of interest are positive definite (PD) matrices. Such matrices are usually similarity matrices, obtained by the multiplication of a matrix of preferences or ...
Charalampos Mavroforakis +3 more
semanticscholar +1 more source
Sebuah Telaah Elips dan Lingkaran Melalui Sebuah Pendekatan Aljabar Matriks
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2010 In this article, ellipse and circle will be learnt in depth via matrix algebra approach. The discussion of the both is started from their classic definition continued by surveying ellipse in matrix form.
Rahmat Sagara
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Matrix orthogonal polynomials whose derivatives are also orthogonal [PDF]
, 2006 In this paper we prove some characterizations of the matrix orthogonal polynomials whose derivatives are also orthogonal, which generalize other known ones in the scalar case. In particular, we prove that the corresponding orthogonality matrix functional
Cantero, M. J., Moral, L., Velazquez, L.
core +2 more sources
Optimal Pilot Design for MIMO Broadcasting Systems Based on the Positive Definite Matrix Manifold
IEEE Access, 2019 In the MIMO broadcasting system, channel state information (CSI) is often used for data detection at the receiver or preprocessing techniques such as the power control and user scheduling at the transmitter and hence, the study of its acquisition is ...
Wen Zhou +4 more
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Best Proximity Point and Existence of the Positive Definite Solution for Matrix Equations
International Journal of Analysis and Applications, 2023 In this research, α − ψ − θ contraction has been defined to find the best proximity point in partially ordered metric spaces. Proper support for the result has been given in the form of a suitable example.
Satyendra Kumar Jain +2 more
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AutoTSMM: An Auto-tuning Framework for Building High-Performance Tall-and-Skinny Matrix-Matrix Multiplication on CPUs [PDF]
, 2022 In recent years, general matrix-matrix multiplication with non-regular-shaped input matrices has been widely used in many applications like deep learning and has drawn more and more attention. However, conventional implementations are not suited for non-regular-shaped matrix-matrix multiplications, and few works focus on optimizing tall-and-skinny ...
arxiv +1 more source
Some trace inequalities for matrix means
Journal of Inequalities and Applications, 2016 In this short note, we present some trace inequalities for matrix means. Our results are generalizations of the ones shown by Bhatia, Lim, and Yamazaki.
Limin Zou, Yang Peng
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Structural Equation Modeling: A Multidisciplinary Journal, 2021 Least-squares exploratory factor analysis based on tetrachoric/polychoric correlations is a robust, defensible and widely used approach for performing item analysis, especially in the first stages of scale development. A relatively common problem in this
U. Lorenzo-Seva, P. J. Ferrando
semanticscholar +1 more source