Polynomials

While matrices and vectors are the core of linear algebra, many engineering problems—such as curve fitting, signal processing, and finding eigenvalues— revolve around Polynomials.

In SepalSolver, we represent a polynomial as a specialized class that manages a collection of coefficients and provides methods for evaluation, fitting, convolution, deconvolution, differentiation, and integration of polynomials.

A polynomial P(x)=a_0 x^n + a_1 x^{n-1} + a_2 x^{n - 2} + \cdots + a_n is defined by its coefficients. In SepalSolver, we store these in a double[] array where the index corresponds to the power of x. This makes the "Degree" of the polynomial exactly coefficients.Length - 1.