Results 11 to 20 of about 1,100,887 (279)
Positive Definiteness and Semi-Definiteness of Even Order Symmetric Cauchy Tensors [PDF]
, 2014 Motivated by symmetric Cauchy matrices, we define symmetric Cauchy tensors and their generating vectors in this paper. Hilbert tensors are symmetric Cauchy tensors.
Chen, Haibin, Qi, Liqun
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On Matrix-Valued Square Integrable Positive Definite Functions [PDF]
, 2015 In this paper, we study matrix valued positive definite functions on a unimodular group. We generalize two important results of Godement on square integrable positive definite functions to matrix valued square integrable positive definite functions.
He, Hongyu
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Certain Positive-Definite Kernels [PDF]
Proceedings of the American Mathematical Society, 1989 In one way or another, the extension of the standard Brownian motion process { B t : t ∈ [ 0 , ∞ ) } \{ {B_t}:t \in [0,\infty )\} to a (Gaussian) random field { B t
Ossiander, Mina, Waymire, Edward C.
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Continuation of Radial Positive Definite Functions and Their Characterization
Fractal and Fractional, 2023 This paper delves into the extension and characterization of radial positive definite functions into non-integer dimensions. We provide a thorough investigation by employing the Riemann–Liouville fractional integral and fractional Caputo derivatives ...
Fethi Bouzeffour
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Solutions and improved perturbation analysis for the matrix equation X-A^{*}X^{-p}A=Q (p>0) [PDF]
, 2012 In this paper the nonlinear matrix equation X-A^{*}X^{-p}A=Q with p>0 is investigated. We consider two cases of this equation: the case p>1 and the case 01, a new sufficient condition for the existence of a unique positive definite solution for the ...
Li, Jing
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Two new eigenvalue localization sets for tensors and theirs applications
Open Mathematics, 2017 A new eigenvalue localization set for tensors is given and proved to be tighter than those presented by Qi (J. Symbolic Comput., 2005, 40, 1302-1324) and Li et al. (Numer. Linear Algebra Appl., 2014, 21, 39-50).
Zhao Jianxing, Sang Caili
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Positive Definite Operator Sequences [PDF]
Proceedings of the American Mathematical Society, 1994 An example is given of a linear mapping from C [ x ] {\mathbf {C}}[x] to M 2 ( C ) {{\mathbf {
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有关矩阵广义逆的惯性指数及其应用(Inertia formulae related to the generalized inverse with applications)
Zhejiang Daxue xuebao. Lixue ban, 2019 In this paper, firstly, we establish the inertia formulae for some matrix expressions related to the generalized inverse . Then, as applications, based on the derived inertia formulae, we study the definiteness of some matrices.
WUZhongcheng(吴中成) +1 more
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Generalized Convolution Roots of Positive Definite Kernels on Complex Spheres [PDF]
, 2015 Convolution is an important tool in the construction of positive definite kernels on a manifold. This contribution provides conditions on an $L^2$-positive definite and zonal kernel on the unit sphere of $\mathbb{C}^q$ in order that the kernel can be ...
Barbosa, Victor S., Menegatto, Valdir A.
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Convex maps on $\protect \mathbb{R}^n$ and positive definite matrices
Comptes Rendus. Mathématique, 2020 We obtain several convexity statements involving positive definite matrices. In particular, if $A,B,X,Y$ are invertible matrices and $A,B$ are positive, we show that the map \[ (s,t) \mapsto \mathrm{Tr}\,\log \left(X^*A^sX + Y^*B^tY\right) \] is jointly ...
Bourin, Jean-Christophe, Shao, Jingjing
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