Solution of a class of nonlinear matrix equations
Linear Algebra and its Applications, 2017 In this article we present several necessary and sufficient conditions for the existence of Hermitian positive definite solutions of nonlinear matrix equations of the form $X^s + A^*X^{-t}A + B^*X^{-p}B = Q$, where $ s, t, p \geq 1$, $ A, B$ are nonsingular matrices and $Q$ is a Hermitian positive definite matrix.
Snehasish Bose +2 more
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A numerical scheme for solutions of a class of nonlinear differential equations
Journal of Taibah University for Science, 2017 In this paper, a collocation method based on Bessel functions of the first kind is presented to compute the approximate solutions of a class of high-order nonlinear differential equations under the initial and boundary conditions. First, the matrix forms
Åuayip YüzbaÅı
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Comment on “Perturbation Analysis of the Nonlinear Matrix Equation ” [PDF]
Abstract and Applied Analysis, 2013 We show that the perturbation estimate for the matrix equation due to J. Li, is wrong. Our discussion is supported by a counterexample.
Maher Berzig, Erdal Karapınar
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An efficient method for vibration equations with time varying coefficients and nonlinearities
Journal of Low Frequency Noise, Vibration and Active Control, 2021 An efficient method for solving vibration equations is the basis of the vibration analysis of a cracked multistage blade–disk–shaft system. However, dynamic equations are usually time varying and nonlinear, and the time required for solving is greatly ...
Jinsong Yang +3 more
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Nonlinear renormalization group equation for matrix models [PDF]
Physics Letters B, 1993 12 pages, TIT/HEP-228, NUP-A-93-13 ( a few corrections in formulae, the conclusion not changed)
S. Higuchi +3 more
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Numerical Solution of System of Nonlinear Integro-Differential Equations Using Hybrid of Legendre Polynomials and Block-Pulse Functions [PDF]
Mathematics Interdisciplinary Research, 2020 In this paper, numerical techniques are presented for solving system of nonlinear integro-differential equations. The method is implemented by applying hybrid of Legendre polynomials and Block-Pulse functions.
Mehdi Sabzevari, Fatemeh Molaei
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The Matrix KadomtsevPetviashvili Equation as a Source of Integrable Nonlinear Equations [PDF]
Journal of Nonlinear Mathematical Physics, 2002 arxiv version is already ...
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On the positive definite solutions of a nonlinear matrix equation [PDF]
2012 4th Electronic System-Integration Technology Conference, 2012 In this paper, the nonlinear matrix equation is investigated. Based on the fixed-point theory, the boundary and the existence of the solution with the case are discussed. An algorithm that avoids matrix inversion with the case is proposed.
Ming Hui Wang +2 more
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On a Nonlinear Matrix Equation Arising in Nano Research
SIAM Journal on Matrix Analysis and Applications, 2012 The matrix equation $X+A^{T}X^{-1}A=Q$ arises in Green's function calculations in nano research, where $A$ is a real square matrix and $Q$ is a real symmetric matrix dependent on a parameter and is usually indefinite. In practice one is mainly interested in those values of the parameter for which the matrix equation has no stabilizing solutions.
Chun-Hua Guo +2 more
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Common Fixed-Point Results in Ordered Left (Right) Quasi-b-Metric Spaces and Applications
Journal of Mathematics, 2020 We use the notions of left- and right-complete quasi-b-metric spaces and partial ordered sets to obtain a couple of common fixed-point results for strictly weakly isotone increasing mappings and relatively weakly increasing mappings, which satisfy a pair
Hemant Kumar Nashine +4 more
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