Results 311 to 320 of about 554,064 (360)

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 &
Zhen-yun Peng, Salah M. El-Sayed
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On positive definite solution of nonlinear matrix equations

Linear and Multilinear Algebra, 2017
AbstractIn this article, we present a sufficient condition for the existence of a unique positive definite solution of the non-linear matrix equation , where , (the set of all Hermitian positive definite matrices), are non-singular matrices and are order-preserving mappings. We give an example of a non-linear matrix equation of the above form (, A is a
Sk. Monowar Hossein, Snehasish Bose, Kallol Paul   +2 more
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A numerical procedure for finding the positive definite matrix closest to a patterned matrix

Statistics & Probability Letters, 1991
Abstract Patterned covariance matrices arise naturally from models in the physical, biological, psychological and social sciences. When the underlying data arises from a multivariate normal distribution, maximum likelihood estimates of the population covariance matrix can be obtained numerically, via an iterative procedure, or in some special cases ...
Ingram Olkin, H. Hu
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On the positive definiteness of a matrix. I

1991
Let \(A\) be an \(n\times n\) complex positive semi-definite matrix. The author gives some equivalent conditions for \(A\) to be positive semi- definite and obtains a relation between complex positive definite matrices and stable matrices. Moreover, complex generalized positive definite matrices are also discussed.
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Positive definite matrix approximation with condition number constraint

Optimization Letters, 2014
Mirai Tanaka, K. Nakata
semanticscholar   +2 more sources

Positive-Definite Matrix Processes of Finite Variation

2006
Processes of finite variation, which take values in the positive semidefinite matrices and are representable as the sum of an integral with respect to time and one with respect to an extended Poisson random measure, are considered. For such processes we derive conditions for the square root (and the r-th power with 0 < r < 1) to be of finite ...
Barndorff-Nielsen, Ole Eiler, Stelzer, Robert   +1 more
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Image clustering based on hermetian positive definite matrix and radial Jacobi moments

International Symposium on Computer Vision, 2018
A. Hjouji, M. Jourhmane, J. El-Mekkaoui, H. Qjidaa, Ahmed El Khalfi   +4 more
semanticscholar   +1 more source

Globally convergent Jacobi methods for positive definite matrix pairs

Numerical Algorithms, 2017
V. Hari
semanticscholar   +1 more source

On Projection of a Positive Definite Matrix on a Cone of Nonnegative Definite Toeplitz Matrices

, 2018
K. Filipiak, A. Markiewicz, Adam Mieldzioc, Aneta Sawikowska   +3 more
semanticscholar   +1 more source

A property of the eigenvalues of the symmetric positive definite matrix and the iterative algorithm for coupled Sylvester matrix equations

Journal of the Franklin Institute, 2014
Huamin Zhang, F. Ding
semanticscholar   +1 more source