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Any software or any other downloads from the internet. including software, drivers, updates or any other file is completely illegal. Pc is not responsible for any damage.. PTHOME-RAR.COM Copyright (C) – Site Map – This is a Website for downloading crack software.Q:

How to solve a non-linear system of equations?

For my assignment I have to write a Java program using the native libraries to solve a non-linear system of equations. Currently I can’t use most of the Java APIs such as ArrayList/List and I’m not allowed to use any additional libraries.
I decided to make use of the StatMath library (statistics package) to be able to solve my equations. However, I’m missing a basic concept how to do this.
In the mathematical concept I would normally firstly create a set of equations which are linear and solve them with regard to the unknown/s. Then I could create a second set of equations which are non-linear in the unknowns and use the solutions of the linear equations as an initial value. But how can I do this using the StatMath library?
The following pseudo-code represents the idea of how I would solve a system of linear equations:
// create a set of equations,
// solve for the variables a, b, c
// create a second set of equations with x as unknown,
// solve for the variables x, y, z

CalculateEquations(a, b, c);

// solve for the variables x, y, z
CalculateEquations(x, y, z);

As I said I can’t use the Java APIs like ArrayList/List or anything which provides similar functionality.
So any ideas how to deal with non-linear systems of equations?

A:

The book Algorithm Design Manual might help your understanding.
The chapter on numerical methods might give you some good ideas.
I would approach the problem as follows:
a) Find a way to formulate your system of equations as a matrix equation, since you will then be able to use the libraries for that.
b) Decompose the matrix into two positive matrix and a diagonal matrix. That decomposition is similar to what you would do with a LU decomposition.
c) Use the LU decomposition to solve the systems of equations.
Here is an article about how to solve systems of equations using LU
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