rohanaceres / geronimo

Software that solves systems of linear equations. These resolutions were developed by me and they're surely not the best method in terms of performance.

geronimo

Geronimo is a software that solves systems of linear equations.

⚠️ These resolutions were developed by me and they're surely not the best method in terms of performance.

How it works?

I used 3 methods to solve systems os linear equations, which are:

• Jacobi method
• Gauss-Seidel method
• Gauss-Jordan method (Gaussian elimination)

Main properties

Method name	Description
AddDimension	Add system dimension. Corresponds to the number of variables in the equations.
AddEquation	Add an equation to the system. The construction of a LinearEquation always demands the number of variables in your system (dimension) plus one parameters. Example: x + 2y - 3z = 42 -> This equation has 3 variables, thus it shall be part of a system with 3 equations. The construction should be new LinearEquation(1, 2, -3, 42).
AddErrorRate	Add error rate. The smaller, the more accurate the result.
IsRound	Whether the result should be rounded [in a specified number of decimal places] or not.

Examples

The examples below expects the following result:

x =  1 
y = -1
z =  1

Jacobi

LinearSystemResult result = new JacobiMethod()
    .AddDimension(3) // Make sure of defining this before set any equation
    .AddEquation(new LinearEquation(10, 2, -1, 7))
    .AddEquation(new LinearEquation(1, 8, 3, -4))
    .AddEquation(new LinearEquation(-2, -1, 10, 9))
    .AddErrorRate(0.000000000001)
    .IsRound(10)
    .SolveIt();
    
// It'll format the result :-)
Console.WriteLine(result.ToString());

Gauss-Siedel

LinearSystemResult result = new GaussSeidelMethod()
    .AddDimension(3) // Make sure of defining this before set any equation
    .AddEquation(new LinearEquation(10, 2, -1, 7))
    .AddEquation(new LinearEquation(1, 8, 3, -4))
    .AddEquation(new LinearEquation(-2, -1, 10, 9))
    .AddErrorRate(0.000000000001)
    .IsRound(10)
    .SolveIt();
    
// It'll format the result :-)
Console.WriteLine(result.ToString());

Gauss-Jordan

LinearSystemResult result = new GaussJordanMethod()
    .AddDimension(3) // Make sure of defining this before set any equation
    .AddEquation(new LinearEquation(10, 2, -1, 7))
    .AddEquation(new LinearEquation(1, 8, 3, -4))
    .AddEquation(new LinearEquation(-2, -1, 10, 9))
    .AddErrorRate(0.000000000001)
    .IsRound(10)
    .SolveIt();
    
// It'll format the result :-)
Console.WriteLine(result.ToString());

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