Results 21 to 30 of about 74,200 (309)

Nonsquare Spectral Factorization for Nonlinear Control Systems [PDF]

open access: yes, 2005
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
core   +1 more source

Study of Nonlinear Aerodynamic Self-Excited Force in Flutter Bifurcation and Limit Cycle Oscillation of Long-Span Suspension Bridge

open access: yesApplied Sciences, 2023
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]

open access: yes, 2015
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
core   +1 more source

Elegant Iterative Methods for Solving a Nonlinear Matrix Equation X-A* eX A=I [PDF]

open access: yes, 2021
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
core   +2 more sources

Solution of a class of nonlinear matrix equations

open access: yesLinear 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
openaire   +3 more sources

On tau functions for orthogonal polynomials and matrix models. [PDF]

open access: yes, 2010
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
core   +1 more source

Computational Mathematics: Solving Dual Fully Fuzzy Nonlinear Matrix Equations Numerically using Broyden’s Method [PDF]

open access: yesInternational Journal of Mathematical, Engineering and Management Sciences, 2023
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]

open access: yesThe Egyptian International Journal of Engineering Sciences and Technology, 2020
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

Numerical Solution of Nonlinear Stochastic Itô–Volterra Integral Equations Driven by Fractional Brownian Motion Using Block Pulse Functions

open access: yesDiscrete Dynamics in Nature and Society, 2021
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
doaj   +1 more source

Optimal solution error covariance in highly nonlinear problems of variational data assimilation [PDF]

open access: yes, 2012
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
core   +1 more source

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