Results 21 to 30 of about 16,710 (257)
A new positive definite geometric mean of two positive definite matrices [PDF]
, 1997 We introduce and study a new positive definite (in certain singular cases, positive semidefinite) geometric mean of two positive definite (under certain conditions, positive semidefinite ...
Miroslav Fiedler +3 more
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On the cardinality of complex matrix scalings
Special Matrices, 2016 We disprove a conjecture made by Rajesh Pereira and Joanna Boneng regarding the upper bound on the number of doubly quasi-stochastic scalings of an n × n positive definite matrix.
Hutchinson George
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The Preconditioned SOR Iterative Method for Positive Definite Matrices
Journal of Applied Mathematics, 2013 We present several iterations for preconditioners introduced by Tarazaga and Cuellar (2009), and study the convergence of the method for solving a linear system whose coefficient matrix is positive definite matrices, and we also find that they complete ...
Yu-Qin Bai, Yan-Ping Xiao, Wei-Yuan Ma
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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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Entropy, 2014 Information geometry studies the dually flat structure of a manifold, highlighted by the generalized Pythagorean theorem. The present paper studies a class of Bregman divergences called the (ρ,τ)-divergence.
Shun-ichi Amari
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Determinantal inequalities of Hua-Marcus-Zhang type for quaternion matrices
Open Mathematics, 2021 In this paper, the authors extend determinantal inequalities of the Hua-Marcus-Zhang type for positive definite matrices to the corresponding ones for quaternion matrices.
Hong Yan, Qi Feng
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Best Approximation in Riemannian Geodesic Submanifolds of Positive Definite Matrices [PDF]
, 2004 We explicitly describe the best approximation in geodesic submanifolds of positive definite matrices obtained from involutive congruence transformations on the Cartan-Hadamard manifold Sym(n, ℝ)++ of positive definite matrices.
Yongdo Lim
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Positive definite matrices and Catalan numbers [PDF]
, 1980 It is shown that the number of n × n n \times n integral triple diagonal matrices which are unimodular, positive definite and whose sub and super diagonal elements are all one, is the Catalan number
Morris Newman, Frank Thomson Leighton
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Riemannian Laplace Distribution on the Space of Symmetric Positive Definite Matrices
Entropy, 2016 The Riemannian geometry of the space Pm, of m × m symmetric positive definite matrices, has provided effective ...
Hatem Hajri +4 more
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Analog approach for the eigen-decomposition of positive definite matrices [PDF]
, 1998 This paper proposes an analog approach for performing the eigen-decomposition of positive definite matrices. We show analytically and by simulations that the proposed circuit is guaranteed to converge to the desired eigenvectors and eigenvalues of ...
Reif, K. +3 more
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