Results 21 to 30 of about 615,027 (289)

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

International 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, Wahyu Megarani, Ahmad Faisol, Aang Nuryaman, Ulfah Muharramah   +4 more
doaj   +1 more source

Scattering States and Symmetries in the Matrix Model and Two Dimensional String Theory [PDF]

, 1992
We study the correspondence between the linear matrix model and the interacting nonlinear string theory. Starting from the simple matrix harmonic oscillator states, we derive in a direct way scattering amplitudes of 2-dimensional strings, exhibiting the ...
AndréJ. van Tonder, Antal Jevicki, Avan, Avan, Blau, Brézin, Brézin, Danielsson, Das, Das, de Beer, Demeterfi, Demeterfi, Demeterfi, Douglas, Ginsparg, Green, Gross, Gross, Gross, Gross, Jevicki, João P. Rodrigues, Klebanov, Klebanov, Klebanov, Kusatov, Matsumura, Minic, Moore, Moore, Moore, Morozov, Polchinski, Polyakov, Rodrigues, Sakai, Sengupta, Witten   +38 more
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Nonlinear resonance set for nonlinear matrix equations

Linear Algebra and its Applications, 1999
Given an \(n\times n\) real matrix \(A\), its Fučik spectrum \(A_{-1}\subset\mathbb{R}^2\) is the set of all \([a,b]^T \in\mathbb{R}^2\) such that the (nonlinear) equation \(Ax=ax^+-bx^-\) has a nontrivial solution. Here \(x^\pm\) has the elements \(x_i^\pm= \max\{\pm x_i,0\}\), where \(x_i\) are the elements of \(x\).
Margulies, Caryl, Margulies, William
openaire   +1 more source

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

Discrete 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

Exact conserved quantities on the cylinder II: off-critical case [PDF]

, 2003
With the aim of exploring a massive model corresponding to the perturbation of the conformal model [hep-th/0211094] the nonlinear integral equation for a quantum system consisting of left and right KdV equations coupled on the cylinder is derived from an
A. Klümper, A. Klümper, A. Kundu, A. LeClair, A.B. Zamolodchikov, A.B. Zamolodchikov, A.G. Izergin, C. Destri, C. Destri, C. Destri, D. Bernard, D. Fioravanti, D. Fioravanti, D. Fioravanti, D. Fioravanti, D. Fioravanti, D. Fioravanti, Davide Fioravanti, F. Essler, F.A. Smirnov, G. Feverati, I.S. Gradshteyn, J.L. Cardy, L. Hlavaty, Marco Rossi, N. Reshetikhin, N.M. Bogoliubov, O. Babelon, P. Mathieu, R.J. Baxter, T.R. Klassen, V.V. Bazhanov, V.V. Bazhanov, V.V. Bazhanov   +33 more
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Probing nonlinear adiabatic paths with a universal integrator [PDF]

, 2013
We apply a flexible numerical integrator to the simulation of adiabatic quantum computation with nonlinear paths. We find that a nonlinear path may significantly improve the performance of adiabatic algorithms versus the conventional straight-line ...
Hofmann, Michael, Schaller, Gernot
core   +3 more sources

Oscillation criteria for nonlinear matrix differential equations [PDF]

Proceedings of the American Mathematical Society, 1970
Oscillation criteria are established for nonlinear matrix differential equations of the form [ R ( t ) U ′ ] ′ + F ( t , U , U ′ ) = 0 [R(t)U’]’ + F(t,U,U’)
openaire   +2 more sources

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, Sk Monowar Hossein, Kallol Paul   +2 more
openaire   +3 more sources

Riemann–Hilbert approach and N-soliton solution for an eighth-order nonlinear Schrödinger equation in an optical fiber

Advances in Difference Equations, 2019
This paper aims to present an application of the Riemann–Hilbert approach to treat higher-order nonlinear differential equation that is an eighth-order nonlinear Schrödinger equation arising in an optical fiber. Starting from the spectral analysis of the
Zhou-Zheng Kang, Tie-Cheng Xia, Wen-Xiu Ma   +2 more
doaj   +1 more source

Positive Definite Solutions of the Nonlinear Matrix Equation $X+A^{\mathrm{H}}\bar{X}^{-1}A=I$ [PDF]

, 2012
This paper is concerned with the positive definite solutions to the matrix equation $X+A^{\mathrm{H}}\bar{X}^{-1}A=I$ where $X$ is the unknown and $A$ is a given complex matrix.
Cai, Guang-Bin, Lam, James, Zhou, Bin
core   +2 more sources