Results 21 to 30 of about 429,197 (329)
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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A note on fixed point method and linear complementarity problem
Journal of Numerical Analysis and Approximation Theory, 2023 In this article, we present a general form of the fixed point method for processing the large and sparse linear complementarity problem, as well as a general condition for the method's convergence when the system matrix is a \(P\)-matrix and some ...
Bharat Kumar, Deepmala, Arup K Das
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On mixed discriminants of positively definite matrix
Ars Mathematica Contemporanea, 2015 In the paper, some new inequalities for the mixed discriminants of positively definite matrix are established, which are the matrix analogues of inequalities of the well-known mixed volumes function.
Li, Xiao-Yan, Zhao, Chang-Jian
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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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Smoothed Analysis for the Conjugate Gradient Algorithm [PDF]
, 2016 The purpose of this paper is to establish bounds on the rate of convergence of the conjugate gradient algorithm when the underlying matrix is a random positive definite perturbation of a deterministic positive definite matrix.
Menon, Govind, Trogdon, Thomas
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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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Estimating the largest eigenvalue of a positive definite matrix [PDF]
Mathematics of Computation, 1979 The power method for computing the dominant eigenvector of a positive definite matrix will converge slowly when the dominant eigenvalue is poorly separated from the next largest eigenvalue. In this note it is shown that in spite of this slow convergence, the Rayleigh quotient will often give a good approximation to the dominant eigenvalue after a very ...
O'Leary, Dianne P. +2 more
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Positive definite solution of two kinds of nonlinear matrix equations [PDF]
Surveys in Mathematics and its Applications, 2009 Based on the elegant properties of the Thompson metric, we prove that the following two kinds of nonlinear matrix equations X=Σi=1m Ai* XδiAi and X=Σi=1m (Ai* XAi)δi ...
Fujian Duan, Zhenyun Peng, Xuefeng Duan
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Asymptotic behavior of solutions of fully nonlinear equations over exterior domains
Comptes Rendus. Mathématique, 2021 In this paper, we consider the asymptotic behavior at infinity of solutions of a class of fully nonlinear elliptic equations $F(D^2u)=f(x)$ over exterior domains, where the Hessian matrix $(D^2u)$ tends to some symmetric positive definite matrix at ...
Jia, Xiaobiao
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