Results 21 to 30 of about 649,071 (268)
On Orthogonal Polynomials With Respect to a Positive Definite Matrix of Measures [PDF]
Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 1995 Antonio J. Durán
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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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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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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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Positive Definite Solutions of the Nonlinear Matrix Equation $X+A^{\mathrm{H}}\bar{X}^{-1}A=I$ [PDF]
, 2012 This paper is concerned with the positive definite solutions to the matrix equation $X+A^{\mathrm{H}}\bar{X}^{-1}A=I$ where $X$ is the unknown and $A$ is a given complex matrix.
Cai, Guang-Bin, Lam, James, Zhou, Bin
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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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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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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 the matrix function $_pR_q(A, B; z)$ and its fractional calculus properties [PDF]
Communications in Mathematics, Volume 31 (2023), Issue 1 (November
4, 2022) cm:10205, 2022 The main objective of the present paper is to introduce and study the function $_pR_q(A, B; z)$ with matrix parameters and investigate the convergence of this matrix function. The contiguous matrix function relations, differential formulas and the integral representation for the matrix function $_pR_q(A, B; z)$ are derived.
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On the positive definite solutions of a nonlinear matrix equation [PDF]
2012 4th Electronic System-Integration Technology Conference, 2012 In this paper, the nonlinear matrix equation is investigated. Based on the fixed-point theory, the boundary and the existence of the solution with the case are discussed. An algorithm that avoids matrix inversion with the case is proposed.
Chun Yan Liang +2 more
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