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Hermite Positive Definite Solution of a Class of Matrix Equation [PDF]

Procedia Engineering, 2011
In this paper, the Hermite positive definite solutions of the nonlinear matrix equation XS+A*X−tA=Q are discussed. A sufficient condition and two necessary and sufficient conditions for the existence of Hermite positive definite solutions for this ...
Shugong Zhang, Qingchun Li
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The Hermitian Positive Definite Solution of the Nonlinear Matrix Equation [PDF]

International Journal of Nonlinear Sciences and Numerical Simulation, 2017
: In this paper, we study the nonlinear matrix equation X
Xinlong Feng, Xindong Zhang
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Optimal solution characterization for infinite positive semi-definite programming [PDF]

Applied Mathematics Letters, 1994
We give a set-theoretic description of the set of optimal solutions to a general positive semi-definite quadratic programming problem over an affine set.
J C Bean
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Properties of positive definite solutions of the equation X + A∗X−2A = I [PDF]

Linear Algebra and Its Applications, 1998
In this paper we discuss some properties of a positive definite solution of the matrix equation X + A∗X−2 A = I. Two effective iterative methods for computing a positive definite solution of this equation are proposed. Necessary and sufficient conditions
Ivan Ivanov, Salah M El-Sayed
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Some investigation on Hermitian positive definite solutions of the matrix equation Xs+A∗X-tA=Q [PDF]

Linear Algebra and Its Applications, 2009
In this paper, the Hermitian positive definite solutions of the matrix equation Xs+A∗X-tA=Q are considered, where Q is an Hermitian positive definite matrix, s and t are positive integers.
Cai, Jing, Chen, Guoliang
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On the Hermitian positive definite solution and Newton's method for a nonlinear matrix equation

Linear and Multilinear Algebra, 2021

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Not Positive Definite Correlation Matrices in Exploratory Item Factor Analysis: Causes, Consequences and a Proposed Solution

Structural Equation Modeling, 2021
Urbano Lorenzo-Seva, Père J Ferrando
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Iterative methods for the extremal positive definite solution of the matrix equation

Journal of Computational and Applied Mathematics, 2007
Salah M El-Sayed, Zhen-Yun Peng
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