Results 21 to 30 of about 429,306 (281)

Optimal Pilot Design for MIMO Broadcasting Systems Based on the Positive Definite Matrix Manifold

IEEE Access, 2019
In the MIMO broadcasting system, channel state information (CSI) is often used for data detection at the receiver or preprocessing techniques such as the power control and user scheduling at the transmitter and hence, the study of its acquisition is ...
Wen Zhou, Xutao Li, Junjuan Xia, Wanguo Jiao, Min Hua   +4 more
doaj   +1 more source

Use of suggested correlation matrix in factor analysis [PDF]

مجلة التربية والعلم, 2010
some variables may have nominal or ordinal scale, this causes a failure of analyzing the Pearson's correlation matrix by factor analysis. However, it was suggested to replace the elements of the correlation matrix by correlation coefficients which should
Marwan AbdulAziz Dabdoub
doaj   +1 more source

Asymptotic behavior of solutions of fully nonlinear equations over exterior domains

Comptes Rendus. Mathématique, 2021
In this paper, we consider the asymptotic behavior at infinity of solutions of a class of fully nonlinear elliptic equations $F(D^2u)=f(x)$ over exterior domains, where the Hessian matrix $(D^2u)$ tends to some symmetric positive definite matrix at ...
Jia, Xiaobiao
doaj   +1 more source

Notes on the Hermitian Positive Definite Solutions of a Matrix Equation

Journal of Applied Mathematics, 2014
The nonlinear matrix equation, X-∑i=1mAi*XδiAi=Q, with -1 ...
Jing Li, Yuhai Zhang
doaj   +1 more source

Sebuah Telaah Elips dan Lingkaran Melalui Sebuah Pendekatan Aljabar Matriks

Cauchy: Jurnal Matematika Murni dan Aplikasi, 2010
In this article, ellipse and circle will be learnt in depth via matrix algebra approach. The discussion of the both is started from their classic definition continued by surveying ellipse in matrix form.
Rahmat Sagara
doaj   +1 more source

Smoothed Analysis for the Conjugate Gradient Algorithm [PDF]

, 2016
The purpose of this paper is to establish bounds on the rate of convergence of the conjugate gradient algorithm when the underlying matrix is a random positive definite perturbation of a deterministic positive definite matrix.
Menon, Govind, Trogdon, Thomas
core   +1 more source

Positive-Definite Sparse Precision Matrix Estimation

Advances in Pure Mathematics, 2017
The positive-definiteness and sparsity are the most important property of high-dimensional precision matrices. To better achieve those property, this paper uses a sparse lasso penalized D-trace loss under the positive-definiteness constraint to estimate high-dimensional precision matrices.
Lin Xia, Xudong Huang, Guanpeng Wang, Tao Wu   +3 more
openaire   +2 more sources

On The Frobenius Condition Number of Positive Definite Matrices

Journal of Inequalities and Applications, 2010
We present some lower bounds for the Frobenius condition number of a positive definite matrix depending on trace, determinant, and Frobenius norm of a positive definite matrix and compare these results with other results. Also, we give a relation for the
Ramazan Türkmen, Zübeyde Ulukök   +1 more
doaj   +2 more sources

Positive definite solution of two kinds of nonlinear matrix equations [PDF]

Surveys in Mathematics and its Applications, 2009
Based on the elegant properties of the Thompson metric, we prove that the following two kinds of nonlinear matrix equations X=Σi=1m  Ai* XδiAi and X=Σi=1m (Ai* XAi)δi ...
Fujian Duan, Zhenyun Peng, Xuefeng Duan
doaj  

一类矩阵特征值的不等式及其在Fischer不等式证明中的应用(An eigenvalue inequality of a class of matrices and its applications in proving the Fischer inequality)

Zhejiang Daxue xuebao. Lixue ban, 2017
The Hadamard inequality and Fischer inequality play an important role in the matrix study. Many articles have addressed these inequalities providing new proofs, noteworthy extensions, generalizations, refinements, counterparts and applications.
ZHANGHuamin(张华民), YINHongcai(殷红彩)   +1 more
doaj   +1 more source