Various numerical mathematical stuff: root finding, histograms, triangular matrices, Gaussian quadratures, etc.
2021, Xavier R. Hoffmann [email protected]
This repository is licensed under the MIT License.
Module to find roots of univariate functions. Two methods are implemented:
- bisection (
bisection) - hybrid secant-bisection (
hybrid_secant_bisection)
See docs for details.
Module to compute histograms and related operations.
- linear binning from a given range (
binning_lin) - logarithmic binning from a given range (
binning_log) - left, center or right align bin abscissas (linear or logarithmic) (
binning_align) - compute a histogram with linear bins (
histrogram_lin) - compute a histogram with logarithmic bins (
histogram_log) - transform a linear histogram into another linear histogram (
histogram_lin2lin) - transform a linear histogram into a logarithmic histogram (
histrogram_lin2log)
Module to compute sums and transformations with vectors and triangular matrices.
- reverse cumulative sum of a vector (
reverse_cumsum) - matrix-vector product of upper-triangular terms (
triangular_dot) - sum rows of upper-triangular matrix terms (
triangular_sum_rows) - sum columns of upper-triangular matrix terms (
triangular_sum_colums) - sum terms of upper-triangular sub-matrices (
triangular_sum_chunks)
See docs for details.
Module to integrate univariate functions using Gaussian quadratures. For now the only implementation is intregration in a closed interval using Legendre poynomials.
- evaluate Legendre polynomials (
legendre_polynomial) - find root bounds for bisection method (
find_bisection_bounds) - integrate using Legendre polynomials Gaussian quadrature (
integrate_legendre)
See docs for details.