Knowledge base dedicated to Linux and applied mathematics.
Below are the main Taylor series expansion around 0. These specific taylor developments are called Maclaurin development Read More »
Gaussian elimination is an algorithm in linear algebra for determining the solutions of a system of linear equations. First we do a forward (...) Read More »
Chebyshev polynomials are a useful and important tool in the field of interpolation. Indeed, in order to minimize the error in Lagrange (...) Read More »
Here are few examples to write quickly matrices. Read More »
In this section, we shall study the polynomial interpolation in the form of Newton. Given a sequence of (n+1) data points and a function f, the (...) Read More »
In this section, we shall study the interpolation polynomial in the Lagrange form. Given a set of (n+1) data points and a function f, the aim is (...) Read More »
Conjugate Gradient Method allows you to solve linear systems whose matrix is symmetric and positive definite. Read More »
Latex symbol not exists: \nexists Read More »
We will study a direct method for solving linear systems: the Cholelsky decomposition. Given a symmetric positive definite matrix A, the aim is (...) Read More »
Latex symbol exists: \exists Read More »
Latex symbol for all x : \forall Read More »
How to write Latex plus or minus symbol: \pm How to write Latex minus or plus symbol: \mp Read More »
The main objective is to numerically compute an integral. In order to do so, we shall introduce Lagrange interpolation polynomials, present the (...) Read More »
We will study a direct method for solving linear systems: the LU decomposition. Given a matrix A, the aim is to build a lower triangular matrix L (...) Read More »
How to write Latex indicator function ? Read More »
Derivative f’ of the function f(x)=ln x is: f’(x) = 1/x for any positive value of x. Read More »
How to write the set of complex numbers in Latex ! Read More »
How to write the set of quaternion numbers in Latex ! Read More »
How to write the set of rational numbers in Latex ! Read More »
It is sometimes useful to add text in Latex formulas or equations. However, it is clear that the text in question is displayed in italics. How to (...) Read More »