Results 21 to 30 of about 564,115 (361)
On the nonlinear matrix equation $ X^{s}+A^{H}F(X)A = Q $
AIMS Mathematics, 2023 Nonlinear matrix equation often arises in control theory, statistics, dynamic programming, ladder networks, and so on, so it has widely applied background.
Yajun Xie, Changfeng Ma, Qingqing Zheng
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ON CAUCHY-TYPE BOUNDS FOR THE EIGENVALUES OF A SPECIAL CLASS OF MATRIX POLYNOMIALS
Ural Mathematical Journal, 2023 Let \(\mathbb{C}^{m\times m}\) be the set of all \(m\times m\) matrices whose entries are in \(\mathbb{C},\) the set of complex numbers. Then \(P(z):=\sum\limits_{j=0}^nA_jz^j,\) \(A_j\in \mathbb{C}^{m\times m},\) \(0\leq j\leq n\) is called a matrix ...
Zahid Bashir Monga, Wali Mohammad Shah
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Mathematics, 2022 A non-iterative method for the difference of means is presented to calculate the log-Euclidean distance between a symmetric positive-definite matrix and the mean matrix on the Lie group of symmetric positive-definite matrices.
Xiaomin Duan +3 more
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Transversely Hessian foliations and information geometry [PDF]
, 2015 A family of probability distributions parametrized by an open domain $\Lambda$ in $R^n$ defines the Fisher information matrix on this domain which is positive semi-definite.
Boyom, Michel Nguiffo, Wolak, Robert A.
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Riemannian Optimal Identification Method for Linear Systems With Symmetric Positive-Definite Matrix
IEEE Transactions on Automatic Control, 2018 This article develops identification methods for linear continuous-time symmetric systems, such as electrical network systems, multiagent network systems, and temperature dynamics in buildings.
Kazuhiro Sato, Hiroyuki Sato, T. Damm
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Fundamental Solution of Elliptic Equation with Positive Definite Matrix Coefficient
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2018 In this paper, we study the fundamental solution of elliptic equations with real constant coefficients where is a positive definite matrix. We obtained by searching the radial solution so that we solved the equation into ordinary differential equations.
Khoirunisa Khoirunisa, Corina Karim
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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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On the Positive Definite Solutions of a Nonlinear Matrix Equation
Journal of Applied Mathematics, 2013 The positive definite solutions of the nonlinear matrix equation are discussed. A necessary and sufficient condition for the existence of positive definite solutions for this equation is derived.
Panpan Liu, Shugong Zhang, Qingchun Li
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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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