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Solving A Quartic Equation
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Implementation of Defect Correction Method for iteratively solving a linear equation system. A Preconditioning strategy can be used to accelerate convergence.



A differential equation can be solved by several methods. I have presented the simulink method to solve the differential equ. The que is showed in the screenshot.

Queries and Comments are dearly invited.



This example shows how to find the displacement and supply it as a shift in a custom equation.



We solve a binary distillation problem using the solution of a Riccati equation. We find that four plates are needed to achieve the desired product purity. We also compute the number of stages with the classical approach by stepping off stages...



This script is capable of solving a convex quadratic programming problem by Wolf's method. For the convergence of the algorithm it is necessary that either Hessian of the objective function be positive definite or positive semidefinite Hessian...



Converts symbolic variables to a Matlab equation string insuring that only array opps are used. Symbolic arrays are converted to linear Cell arrays of strings. This function is most often used to prepare symbolic answers for use with the...



Newton's method for solving a system of nonlinear equations, see http://en.wikipedia.org/wiki/Newton's_method

Newton(X,F,X0) solves nonlinear system F(x)=0 by Newton's method, using the given initial approximation X0. The derivative...



The solution to the problem of calculating the distance between an ellipse and a point is less than straightforward. The problem can be solved analytically however, which boild down to solving a quartic equation in cos(f), with (f) the true...



This is a tutorial where readers can find information about solving a problem that normally arise in .NET while having more validators on a single page. Normally in .NET pages all the validators will be fired at the same time, here the author...



The submission finds two parameters a_1 and a_2, coefficients belong to a linear equation of temperature, that minimize the difference between the pressures calculated by an equation of state and the experimental values at same temperature and...



Starter kit for the 12th MATLAB Programming Contest "Sudoku", running November 2-9, 2005.

You are given the task of solving a variation on the Sudoku problem. For more information see the contest page:



Starter kit for the 12th MATLAB Programming Contest "Sudoku", running November 2-9, 2005.

You are given the task of solving a variation on the Sudoku problem. For more information see the contest page:



In this online tutorial the author contributes to readers on solving a problem that occurs when a lengthy operation takes place in a web service. This discussed problem is getting ?time out? error on performing a long operation in web services. In...



The two programs computes residue curve maps for the methyl acetate and isopropyl acetate chemistries at atmospheric pressure. These calculations involve solving a complex system of differential algebraic equations (DAEs). This can be readily...



Perform equation manipulation/substitution in syms toolbox, then convert the result to a transfer function using this m file.

Input is your symbolic equation (with syms variable s or z), output is a transfer function of the same form....



fieldlines3D(X,Y,Z,U,V,W,x0,y0,z0) plots a field line with the initial point P(x0,y0,z0).The matrices X,Y,Z,U,V,and W must all be the same size and contain corresponding position and field components.The function employs the 4th order Runge-Kutta...



This is a MATLAB/C++ code for solving PDEs that are discretized by a finite element method on unstructured grids. It automates assembly of a variety of FEM matrices using a straightforward syntax and automatic code generation. The resultant...



This block for Simulink provides a chirp source for stimulating unknown system dynamics. The block has been developed specifically for the purpose of system identification, however it should be of interest to anyone looking for a robust and...



A proximity query that is expressed as an algebraic condition for realtime
continuous contact detection for ellipsoids moving under rigid body transformations.
The algebraic condition is a quartic polynomial equation, also named as...



We can exploit the symmetry of a real, positive definite, symmetric matrix by using the Cholesky decomposition to compute the inverse.

The built-in MATLAB inv function uses LU decomposition which requires extra pivots and operations....