Results 301 to 310 of about 554,064 (360)

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

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

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.
Arthur W. Lees, John E. Mottershead, T. K. Tee   +2 more
openaire   +2 more sources

The approximate factorization of positive-definite matrix functions

Russian Mathematical Surveys, 1999
It is well known that the prediction problem for a stationary process can be reduced to that of factorizing a positive-definite matrix function \(S(t)\) as \(S(t)= \chi^+(t)\cdot(\chi^+(t))^*\), \(|t|= 1\), where \(\chi^+\) is an outer analytic matrix function with entries of Hardy class \(H_2\) and \(^*\) denotes the Hermitian conjugate.
L N Epremidze, G A Janashia, E T Lagvilava   +2 more
openaire   +3 more sources

Integral representation of invariant positive-definite matrix kernels

Ukrainian Mathematical Journal, 1970
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
L. M. Korsunskii, Yu. S. Samoilenko
openaire   +3 more sources

On the Variation of the Determinant of a Positive Definite Matrix 1)

Indagationes Mathematicae (Proceedings), 1951
A.M. Ostrowski, Olga Taussky
openaire   +3 more sources

Enclosing the square root of a positive definite symmetric matrix

International Journal of Computer Mathematics, 1999
The positive definite symmetric square matrices have unique square roots. This paper describes two iterative methods using the concepts of interval analysis for enclosing the square root S of a positive definite symmetric square matrix A. By this, we mean A = S 2. The second method is tested on a numerical example and its results are given. Convergence
Dharmendra Kumar Gupta, C. N. Kaul
openaire   +2 more sources

Computing the logarithm of a symmetric positive definite matrix

Applied Numerical Mathematics, 1998
The following algorithm to compute \(\log(A)\) for a matrix \(A>0\) is proposed. (1) Reduce to tridiagonal form: \(A=QTQ^T\), (2) Compute an approximant \[ R_m(X)=\sum_{j=1}^m a_j (I+b_jX)^{-1}X \] with \(X=\mu T-I\), (3) Set \(S_m=-\log\mu I+QR_mQ^T\).
openaire   +2 more sources

Multisplitting preconditioners for a symmetric positive definite matrix

Journal of Applied Mathematics and Computing, 2006
We study convergence of multisplitting method associated with a block diagonal conformable multisplitting for solving a linear system whose coefficient matrix is a symmetric positive definite matrix which is not an H-matrix. Next, we study the validity ofm-step multisplitting polynomial preconditioners which will be used in the preconditioned conjugate
Seyoung Oh, Jae Heon Yun, Eun Heui Kim
openaire   +2 more sources

Positive definite solution of a nonlinear matrix equation

Journal of Fixed Point Theory and Applications, 2016
Using fixed point theory, we present a sufficient condition for the existence of a positive definite solution of the nonlinear matrix equation \({X = Q \pm \sum^{m}_{i=1}{A_{i}}^*F(X)A_{i}}\), where Q is a positive definite matrix, Ai’s are arbitrary n × n matrices and F is a monotone map from the set of positive definite matrices to itself.
Snehasish Bose, Kallol Paul, Sk. Monowar Hossein   +2 more
openaire   +2 more sources