Results 301 to 310 of about 564,115 (361)

SymNet: A Simple Symmetric Positive Definite Manifold Deep Learning Method for Image Set Classification

IEEE Transactions on Neural Networks and Learning Systems, 2021
By representing each image set as a nonsingular covariance matrix on the symmetric positive definite (SPD) manifold, visual classification with image sets has attracted much attention.
Rui Wang, Xiaojun Wu, J. Kittler
semanticscholar   +1 more source

Additive Models for Symmetric Positive-Definite Matrices and Lie Groups

Biometrika, 2022
We propose and investigate an additive regression model for symmetric positive-definite matrix valued responses and multiple scalar predictors. The model exploits the abelian group structure inherited from either of the log-Cholesky and log-Euclidean ...
Z. Lin, H. Müller, B. U. Park
semanticscholar   +1 more source

Practical criteria for positive-definite matrix, M-matrix and Hurwitz matrix

Applied Mathematics and Computation, 2007
A new simple criterion is presented to verify if a matrix is positive definite, an \(M\)-matrix, or a Hurwitz matrix. It is based on the Gauss row elimination using inner and sign-preserving row operations. The computation of only one determinant is necessary.
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Identification of a Positive Definite Mass Matrix

Journal of Vibration and Acoustics, 1988
In system identification it is important that any a priori information about the system is utilized in the processing of measured data. Structural vibration problems can be modelled in terms of mass, stiffness, and damping and it is usually the case that the mass matrix is positive definite.
John E. Mottershead, T. K. Tee, A. W. Lees   +2 more
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Conditionally Positive Definite Matrix Valued Kernels on Euclidean Spaces

Constructive Approximation, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guella, J. C., Menegatto, V. A.
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On positive definite solution of a nonlinear matrix equation

Numerical Linear Algebra with Applications, 2006
AbstractIn this paper, some necessary and sufficient conditions for the existence of the positive definite solutions for the matrix equationX+A*X−αA=Qwith α ∈ (0, ∞) are given. Iterative methods to obtain the positive definite solutions are established and the rates of convergence of the considered methods are obtained. Copyright © 2006 John Wiley &
Peng, Zhen-yun, El-Sayed, Salah M.
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On Hankel Positive Definite Perturbations of Hankel Positive Definite Sequences and Interrelations to Orthogonal Matrix Polynomials

Complex Analysis and Operator Theory, 2014
The authors study how orthogonal matrix polynomials and related second kind polynomials which correspond to sequences generated by right(left)-sided \(\alpha\)-shifting [\textit{B. Fritzsche} et al., Linear Algebra Appl. 439, No. 12, 3893--3933 (2013; Zbl 1283.44003)] or by ``two-sided'' \(a-b\)-shifting are connected with polynomials generated by the ...
Rivero, Abdon E. Choque, Mädler, Conrad
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The Cicchetti–Allison weighting matrix is positive definite

Computational Statistics & Data Analysis, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Multisplitting preconditioners for a symmetric positive definite matrix

Journal of Applied Mathematics and Computing, 2006
The authors consider certain multisplitting methods for linear system \(Ax=b\) where \(A\) is a symmetric positive definite matrix which is not an H-matrix, and prove a number of convergence results for various factorizations of the matrix \(A\).
Yun, Jae Heon, Kim, Eun Heui, Oh, Seyoung   +2 more
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Factorization of positive definite rational matrix functions

2010
The central theme of this chapter is the state space analysis of rational matrix functions with Hermitian values either on the real line, on the imaginary axis, or on the unit circle. The main focus will be on rational matrix functions that take positive definite values on one of these contours.
Harm Bart, Marinus A. Kaashoek, André C. M. Ran   +2 more
openaire   +1 more source