Nonlinear Equations Matlab

Numerically solves systems of simultaneous nonlinear equations. It can fully explore defined intervals to search for multiple solutions or quickly find solutions starting with random seeds. You may predefine constants and specify the error bound for the results. Handles a wide variety of...

Chapter 4 Nonlinear Equations4.1 Iterative Method toward Fixed Point4.2 Bisection Method4.3 False Position OR Regula Falsi Method4.4 Newton(-Raphson) Method4.5 Secant Method4.6 Newton Method for a System of Nonlinear Equations4.7 Symbolic Solution for Equations4.8 A Real-World Problem

This book provides a complete analysis of the conjugate gradient and generalized minimum residual iterations.For a full book description and ordering information, please refer to http://www.mathworks.com/support/books/book1344.jsp.


Platforms: Matlab

Newton's method for solving a system of nonlinear equations, see http://en.wikipedia.org/wiki/Newton's_methodNewton(X,F,X0) solves nonlinear system F(x)=0 by Newton's method, using the given initial approximation X0. The derivative (Jacobian) is evaluated symbolically. The iterations are...


Platforms: Matlab

The function LMFsolve.m serves for finding optimal solution of an overdetermined system of nonlinear equations in the least-squares sense. The standard Levenberg- Marquardt algorithm was modified by Fletcher and coded in FORTRAN many years ago. LMFsolve is its essentially shortened version...


Platforms: Matlab

The Kalman filter can be interpreted as a feedback approach to minimize the least equare error. It can be applied to solve a nonlinear least square optimization problem. This function provides a way using the unscented Kalman filter to solve nonlinear least square optimization problems. Three...


Platforms: Matlab

The function The LMFnlsq.m serves for finding optimal solution of an overdetermined system of nonlinear equations in the least-squares sense. The standard Levenberg- Marquardt algorithm was modified by Fletcher and coded in FORTRAN many years ago (see the Reference). This version of LMFnlsq is...


Platforms: Matlab

derives number of dimensions ( variables ) of given set of function( class - inline , symbolic or char ) then finds the roots of a set (nonlinear equations ) Example: F = inline ( '[ ( x ^ 2 ) + ( x * y ) - 10 ; y + ( 3 * ( x * ( y ^ 2 ) ) ) - 57 ]' ) ;smartnonlinrgen ( F ,[ 1 ; 1 ] , [ 2 ; 2 ] ,...


Platforms: Matlab

GNU Octave project is a high-level language, primarily intended for numerical computations. It provides a convenient command line interface for solving linear and nonlinear problems numerically, and for performing other numerical experiments using a language that is mostly compatible with Matlab....


Platforms: *nix

This upload contains a hybrid Particle Swarm Optimization algorithm for functions in the real space. An options file is also provided, which lets the user fully parameterize the process. The hybrid function used is the @fminsearch, which is available on the MATLAB core. The PSO performs very well...


Platforms: Matlab

The Kalman filter is actually a feedback approach to minimize the estimation error in terms of sum of square. This approach can be applied to general nonlinear optimization. This function shows a way using the extended Kalman filter to solve some unconstrained nonlinear optimization problems. Two...


Platforms: Matlab

ASCEND is a flexible modelling environment for solving hard engineering and science problems. It offers: - an object-oriented model description language for describing your system, - an interactive user interface that allows you to solve your model and explore the effect of changing the model...


Platforms: *nix

BestCurFit calculates the parameters of 12 curves using the method of Linear Least Squares, fitting each curve to user data. The nonlinear equations are linearized. The obtained parameters are used for following optimization procedure using Simplex and Gauss-Newton algorithm. If it does not...


Platforms: Windows

LiScNLS is a MATLAB package for the numerical study of some nonlinear differential equations of the form Lu=Nu using the Lyapunov-Schmidt method.


Platforms: Matlab

This ZIP file contains the nonlinear model of anF-16 fighter aircraft in MATLAB/Simulink, Both high-fidelity and low-fidelity aerodynamic data are available, taken from NASA report 1538 and "Aircraft Control and Simulation" by Lewis & Stevens.A trim function is also included.F16dyn.c and...


Platforms: Matlab

L-BFGS-B is a collection of Fortran 77 routines for solving nonlinear optimization problems with bound constraints on the variables. One of the key features of the nonlinear solver is that the Hessian is not needed. I've designed an interface to the L-BFGS-B solver so that it can be called like...


Platforms: Matlab

Graphical user interface (GUI) is used to solve up to two ordinary differential equations (ODEs). Results can be plotted easily. Choose between MATLAB's ode45 (non-stiff solver) or ode15s (stiffer solver).This is primarily a teaching tool.


Platforms: Matlab

Using an engine throttle valve modeling example, this demo shares some perspectives on creation of nonlinear models of dynamic systems from the measurements of its input and outputs. It describes useful workflows for approaching the task of data-based modeling using System Identification...


Platforms: Matlab

One of the readers who attended the introductory Simulink webinar:http://www.mathworks.com/company/events/we.../wbnr37271.htmlasked me how to implement differential equations in Simulink and visualize the results in a MATLAB plot. This demo attempts to answer those kinds of questions.Notes on...


Platforms: Matlab

MATLAB fsolve is frequently used to solve nonlinear algebraic equation systems. This utility makes it simple. User enters initial guesses and equations. The equations will be solved automatically after user clicks the Run button. Residual values are also displayed for user to judge the quality of...


Platforms: PHP