Results 11 to 20 of about 429,197 (329)

Integer Factorization of a Positive-Definite Matrix [PDF]

SIAM Journal on Discrete Mathematics, 2015
This paper establishes that every positive-definite matrix can be written as a positive linear combination of outer products of integer-valued vectors whose entries are bounded by the geometric mean of the condition number and the dimension of the matrix.
Tropp, Joel A.
openaire   +8 more sources

On matrix valued square integrable positive definite functions [PDF]

Monatshefte für Mathematik, 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
openaire   +7 more sources

Solutions and Improved Perturbation Analysis for the Matrix Equation X-A*X-pA=Q   (p>0) [PDF]

Abstract and Applied Analysis, 2013
The nonlinear matrix equation X-A*X-pA=Q with p>0 is investigated.
Jing Li
doaj   +4 more sources

Modified BFGS Update (H-Version) Based on the Determinant Property of Inverse of Hessian Matrix for Unconstrained Optimization

مجلة بغداد للعلوم, 2020
The study presents the modification of the Broyden-Flecher-Goldfarb-Shanno (BFGS) update (H-Version) based on the determinant property of inverse of Hessian matrix (second derivative of the objective function), via updating of the vector s ( the ...
Saad Shakir Mahmood
doaj   +1 more source

On the nonlinear matrix equation $ X^{s}+A^{H}F(X)A = Q $

AIMS Mathematics, 2023
Nonlinear matrix equation often arises in control theory, statistics, dynamic programming, ladder networks, and so on, so it has widely applied background.
Yajun Xie, Changfeng Ma, Qingqing Zheng
doaj   +1 more source

ON CAUCHY-TYPE BOUNDS FOR THE EIGENVALUES OF A SPECIAL CLASS OF MATRIX POLYNOMIALS

Ural Mathematical Journal, 2023
Let \(\mathbb{C}^{m\times m}\) be the set of all \(m\times m\) matrices whose  entries are in \(\mathbb{C},\) the set of complex numbers. Then \(P(z):=\sum\limits_{j=0}^nA_jz^j,\) \(A_j\in \mathbb{C}^{m\times m},\) \(0\leq j\leq n\) is called a matrix ...
Zahid Bashir Monga, Wali Mohammad Shah
doaj   +1 more source

Positive Definite Solutions of the Nonlinear Matrix Equation $X+A^{\mathrm{H}}\bar{X}^{-1}A=I$ [PDF]

, 2012
This paper is concerned with the positive definite solutions to the matrix equation $X+A^{\mathrm{H}}\bar{X}^{-1}A=I$ where $X$ is the unknown and $A$ is a given complex matrix.
Cai, Guang-Bin, Lam, James, Zhou, Bin
core   +2 more sources

A Non-Iterative Method for the Difference of Means on the Lie Group of Symmetric Positive-Definite Matrices

Mathematics, 2022
A non-iterative method for the difference of means is presented to calculate the log-Euclidean distance between a symmetric positive-definite matrix and the mean matrix on the Lie group of symmetric positive-definite matrices.
Xiaomin Duan, Xueting Ji, Huafei Sun, Hao Guo   +3 more
doaj   +1 more source

Transversely Hessian foliations and information geometry [PDF]

, 2015
A family of probability distributions parametrized by an open domain $\Lambda$ in $R^n$ defines the Fisher information matrix on this domain which is positive semi-definite.
Boyom, Michel Nguiffo, Wolak, Robert A.
core   +1 more source

Fundamental Solution of Elliptic Equation with Positive Definite Matrix Coefficient

Cauchy: Jurnal Matematika Murni dan Aplikasi, 2018
In this paper, we study the fundamental solution of elliptic equations with real constant coefficients   where is a positive definite matrix. We obtained by searching the radial solution so that we solved the equation into ordinary differential equations.
Khoirunisa Khoirunisa, Corina Karim
doaj   +1 more source