Results 21 to 30 of about 74,200 (309)
Nonsquare Spectral Factorization for Nonlinear Control Systems [PDF]
This paper considers nonsquare spectral factorization of nonlinear input affine state space systems in continuous time. More specifically, we obtain a parametrization of nonsquare spectral factors in terms of invariant Lagrangian submanifolds and ...
Schaft, Arjan J. van der +4 more
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This article establishes a nonlinear flutter system for a long-span suspension bridge, aiming to analyze its supercritical flutter response under the influence of nonlinear aerodynamic self-excited force.
Jieshan Liu, Fan Wang, Yang Yang
doaj +1 more source
On Critical Behaviour in Systems of Hamiltonian Partial Differential Equations [PDF]
We study the critical behaviour of solutions to weakly dispersive Hamiltonian systems considered as perturbations of elliptic and hyperbolic systems of hydrodynamic type with two components.
Klein, Christian +13 more
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Elegant Iterative Methods for Solving a Nonlinear Matrix Equation X-A* eX A=I [PDF]
The nonlinear matrix equation was solved by Gao (2016) via standard fixed point method. In this paper, three more elegant iterative methods are proposed to find the approximate solution of the nonlinear matrix equation namely: Newton’s ...
Chacha, Chacha S
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Solution of a class of nonlinear matrix equations
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
openaire +3 more sources
On tau functions for orthogonal polynomials and matrix models. [PDF]
Let v be a real polynomial of even degree, and let \rho be the equilibrium probability measure for v with support S; to that v(x) greeater than or equal to \int 2log |x-y| \rho (dy) +C for some constant C with equality on S.
Gordon Blower, Blower, Gordon
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Computational Mathematics: Solving Dual Fully Fuzzy Nonlinear Matrix Equations Numerically using Broyden’s Method [PDF]
Fuzzy numbers have many applications in various mathematical models in both linear and nonlinear forms. In the form of a nonlinear system, fuzzy nonlinear equations can be constructed in the form of matrix equations.
La Zakaria +4 more
doaj +1 more source
Computational DIQM Scheme for Solving Nonlinear Volterra Integro-Differential Equations [PDF]
The authors in this work develop the differential quadrature method (DQM) to solve the nonlinear Volterra integro-differential equation by introducing an integration matrix operator that is fully combined with the differentiation matrix in (DQM) method ...
Norhan Mohamed +2 more
doaj +1 more source
This paper presents a valid numerical method to solve nonlinear stochastic Itô–Volterra integral equations (SIVIEs) driven by fractional Brownian motion (FBM) with Hurst parameter H∈1/2,1.
Mengting Deng, Guo Jiang, Ting Ke
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Optimal solution error covariance in highly nonlinear problems of variational data assimilation [PDF]
The problem of variational data assimilation for a nonlinear evolution model is formulated as an optimal control problem (see, e.g.[1]) to find the initial condition, boundary conditions or model parameters.
Le Dimet, F.X. +11 more
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