MathLib

.NET math library for working with matrices, functions.

In the class Matrix.cs implemented functionality:

1. All matrix arithmetic operations;
2. Get trace of matrix;
3. Get identity matrix;
4. Get triangle matrix;
5. Get args (by Gauss method);
6. Get reverse matrix;
7. Get determinant of matrix (by Gauss, Decomposition methods);
8. Get minor of matrix element.
9. Get eigen values, vectors of matrix;
10. Get characteristic polynom of matrix (by Leverrier, Leverrier-Faddeev, Danilevskiy, Krylov methods);

In the class Function.cs implemented functionality:

1. Get roots (by Chords, Dichotomy, Golden-Section, Phibonacci methods);
2. Get integral (by Rectangle, Trapeze, Simpsons methods);
3. Get differential (by Runge-Kutta method);

Benefits:

• The ability to perform basic arithmetic operations with matrices with the help of operators;
• The ability to create function object from usual function string like (x^4 + sin(x) + x^(x+2)) or with delegates.
• Rich functionality of classes.

Examples:

1. Matrix operations:

Matrix m1 = new Matrix(new double[,]{
    {1, 2},
    {3, 4}
});
Matrix m2 = new Matrix(new double[,]{
    {5, 6},
    {7, 8}
});

//sum of 2 matrices
Matrix sum = m1 + m2;

//difference of 2 matrices
Matrix sub = m1 - m2;

//multiplicity of 2 matrices
Matrix multi = m1 * m2;

//reverse matrix of m1
Matrix reverse = m1.GetReverseMatrix();

2. Function operations:

//create by delegate
Function f1 = new Function(delegate(double x){ return x*x; });

//create by function string
Function f2 = new Function("x^2 + x + 2");

//create by polynom koef (2*x^3 + 2*x^2 + x + 5)
Function f3 = new Function(2, 2, 1, 5);

//get roots by dichotomy method
var roots = f2.GetRootsByDichotomy(-5, 5, 0.0001).ToArray();