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Nonlinear Matrix Equations and Population Dynamics
1997Classical models for the dynamics of biological populations, such as the famous logistic and Lotka-Volterra equations, involve population-level statistics and parameters. In the “structured” population models of this book, individual members of the population are classified in some manner, usually by means of certain physiological characteristics, and ...
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On positive definite solution of a nonlinear matrix equation
Numerical Linear Algebra with Applications, 2006AbstractIn 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 &
Peng, Zhen-yun, El-Sayed, Salah M.
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Modified Matrix Factorizations for Solving Systems of Nonlinear Equations
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1986AbstractThe modified Cholesky factorization due to Gill and Murray as well as an adaptation to the case of nonsymmetric LU‐factorizations described in the literature often generate modified Newton directions which are badly scaled. In order to overcome the deficiencies observed a new technique for modifying LU‐factorizations is proposed which avoids ...
Hoy, A., Schwetlick, H.
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Matrix Li–Yau–Hamilton Estimates for Nonlinear Parabolic Equations
The Journal of Geometric AnalysisThe Harnack estimates for heat equations and geometric flows are important and useful tools in geometric analysis. In their fundamental work in 1986, Li and Yau derived gradient estimates and Harnack inequalities for solutions of the heat equation on a compact Riemannian manifold. Later in 1993, \textit{R. S. Hamilton} [Commun. Anal. Geom. 1, No.
Xu, Pang, Liu, Hao-Yue, Ren, Xin-An
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Matrix computations and nonlinear equations
Numerical Linear Algebra with Applications, 2011Owe Axelsson, Xiaojun Chen
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Solving system of nonlinear matrix equations over Hermitian positive definite matrices
Linear and Multilinear Algebra, 2023Khosro Sayevand, Masoud Hajarian
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The general Jacobi matrix method for solving some nonlinear ordinary differential equations
Applied Mathematical Modelling, 2012Mehdi Dehghan
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