Solve Algebraic Equations Using fsolve

Step 2 Name and construct the m-file prob2.m, which evaluates the function/. 

Step 3 Call fsolve. Fsolve is in the optimization toolbox in MATLAB, which all versions do not have. 

You need to make several checks. The number of unknowns is set by the number of elements in the initial guess, yO. The m-file prob2 calculates /, given 

SOLVE ALGEBRAIC EQUATIONS USING (BOTH IN STANDARD MATLAB) 

If you have a single function of one variable, you can use the fzero function in place of fsolve, and it is called in a similar way. If you have several fo that you want to make zero, you can make the norm of the vector/ zero. The norm can be the square root of the sum of the squares of the elements, or the maximum of the absolute value of all elements. Then fminsearch uses optimization methods to find the vector y which makes the norm a minimum. This may work for simple problems, especially ones with constraints, but it is less successful on large problems. 

---

Although MATLAB contains a built-in rontine, fsolve, for solving systems of multiple nonlinear algebraic equations (using the trnst-region Newton method discussed above), it is part of the Optimization Tooikit and so is not available in every installation of MATLAB. reduced Newton.m implements the rednced-step Newton algorithm, and can be used if... 

The theory of finite difference solution for Boundary value problems was developed in section 3.1.5. When finite difference approximations are used, the given nonlinear boundary value problem is converted to a system of nonlinear algebraic equations. This resulting system is solved in this section using Maple s fsolve command. 

Steady state linear elliptic PDEs in finite domains are solved by applying finite difference technique in both x and y coordinates in this section. When finite differences are applied, a linear elliptic PDE is converted to a system of linear algebraic equations. This resulting system of linear equations can be directly solved using Maple s solve or fsolve command. This is best illustrated with the following examples. 

The system of algebraic equations are solved using Maple s fsolve command and the solution obtained is plotted below ... 

---