Learn R Programming

⚠️There's a newer version (1.9.9) of this package.Take me there.

pracma (version 1.7.0)

Practical Numerical Math Functions

Description

Functions from numerical analysis and linear algebra, numerical optimization, differential equations, plus some special functions. Uses Matlab function names where appropriate to simplify porting.

Copy Link

Version

Install

install.packages('pracma')

Monthly Downloads

108,124

Version

1.7.0

License

GPL (>= 3)

Maintainer

Last Published

July 1st, 2014

Functions in pracma (1.7.0)

Arc Length of a Curve

clenshaw_curtis

Clenshaw-Curtis Quadrature Formula

Characteristic Polynomial

Generate Combinations

Complex Step Derivatives

Chebyshev Polynomials

Newton-Cotes Formulas

Vector Cross Product

Univariate Global Optimization

Distance Matrix

Plot Error Bars

Minimum Finding

Einstein Functions

Hadamard Matrix

Givens Rotation

Gauss-Hermite Quadrature Formula

Kronecker product (Matlab Style)

Iterative Methods

Linearly Spaced Sequences

LU Matrix Factorization

geomean, harmmean

Geometric and Harmonic Mean (Matlab Style)

Binomial Coefficients

Generate Permutations

Print Polynomial

Polynomial Transformation

Piecewise Polynomial Structures

Solving the Procrustes Problem

Adaptive Simpson Quadrature

Gaussian Quadrature with Richardson Extrapolation

Adaptive Gauss-Kronrod Quadrature

Adaptive Lobatto Quadrature

Polynomial Roots

Toeplitz Matrix

Titanium Test Data

Remove leading and trailing white space.

Rootfinding Through Bisection

Adams-Bashford-Moulton

Remove Linear Trends

Dirichlet Eta Function

Find All Minima

Plot Multivariate Function

Solve System of Nonlinear Equations

Gauss-Legendre Quadrature Formula

Gauss-Laguerre Quadrature Formula

Two-dimensional Data Interpolation

Matlab backslash operator

Multi-exponential Fitting

Line integral (in the complex plane)

Number of Dimensions

Orthogonal Distance Regression

Multiplying Polynomials

Match regular expression

Segment Intersection

Soft (Inexact) Line Search

Justify character vector

Angle between two subspaces

wilkinson Matrix

String Concatenation

Integer Functions (Matlab Style)

2-D Barycentric Lagrange Interpolation

Coordinate Transformations

Chebyshev Polynomials

ezcontour,ezmesh

Contour and Mesh Plotter

Generalized Minimal Residual Method

Discrete Gradient (Matlab Style)

Householder Reflections

Hypotenuse Function

Utility functions (Matlab style)

Matrix Condition

Kernel or Nullspace

Crank-Nicolson Method

Pade Approximation

Classical Runge-Kutta

Double and Triple Integration

Jacobi Eigenvalue Method

Replace string using regular expression

Create Random Matrices

Reduced Row Echelon Form

Sort Rows of a Matrix (Matlab Style)

Basic Complex Functions

steepest_descent

Steepest Descent

Degrees to Radians

Tridiagonal Linear System Solver

String of Blank Carakters

Univariate Akima Interpolation

Block Diagonal Matrix

Fitting a Circle

Companion Matrix

Control Plot Devices (Matlab Style)

fletcher-powell

Davidon-Fletcher-Powell Method

Complex Gamma Function

Find Interval Indices

Exponential and Logarithmic Integral

Numerical Gradient

Inverse Laplacian

Complex Root Finding

Nearest Symmetric Positive-definite Matrix

Newton's Root Finding Method for Polynomials.

Geometric Median

Nonzero Elements

Interpolation by Kriging

Integer Division

Polar Coordinate Plot (Matlab Style)

Next Power of 2

Derivative of Polynomial

Area of a Polygon

2-d Gaussian Quadrature

Piecewise Polynomial Fit

Rectangle Intersection Areas

Double Simpson Integration

MATLAB timer functions

Find overlapping regular expression matches.

Rational Function Approximation

Runge-Kutta-Fehlberg

Ridders' Method

Segment Distance

Trigonometric Approximation

Romberg Integration

Adaptive Simpson Quadrature

Monotone (Shape-Preserving) Interpolation

Matrix Square and p-th Roots

Sorting Routines

isempty Property

Riemann Zeta Function

Brent-Dekker Root Finding Algorithm

Directory Functions (Matlab style)

clear, who(s), ver

Clear function (Matlab style)

n-dimensional Vector Cross Product

Interpolating Cubic Spline

Elliptic and Jacobi Elliptic Integrals

Easy Polar Plot

Easy Function Plot

Factorial Function

coth,csch,sech, etc.

More Hyperbolic Functions

One-dimensional Interpolation

Numerically Evaluate Double and Triple Integrals

Linear Least-Squares Fitting

Laplacian Operator

Matlab Compatibility

Non-stiff ODE solvers

Richardson's Numerical Derivative

Pascal Triangle

Polynomial Approximation

Arithmetic-geometric Mean

Polynomial Powers

Polynomial Convolution

Brownian Motion

Parametric Curve Fit

Whittaker Smoothing

Vectorized Integration

Event Detection in ODE solution

Find Substrings

Matrix Exponential

Fresnel Integrals

Incomplete Gamma Function

Golden Ratio Search

Halley's Root Finding Mathod

Finding Function Minimum

Matrix Inverse (Matlab Style)

Jacobian Matrix

L1 Linear Regression

Linear Programming Solver

Generate a Mesh Grid

Pseudoinverse or Generalized Inverse

Fitting by Polynomial

Random Permutation

Quiver or Velocity Plot

Generate Random Orthogogonal Matrix

Trigonometric Polynomial

String Comparison

Vandermonde matrix

Legendre Functions (Matlab Style)

Barycentric Lagrange Interpolation

Elementwise Function Application (Matlab Style)

Error Functions and Inverses (Matlab Style)

Eigenvalue Function (Matlab Style)

Gauss-Newton Function Minimization

Floating Point Relative Accuracy

Histogram Bin-width Optimization

Matlab Test Functions

Adaptive Numerical Integration

isprime Property

Laguerre's Method

Lebesgue Constant

Log-linearly Spaced Sequences

Newton Method for Nonlinear Systems

Estimated Matrix Norm

Piecewise Linear Function

Polylogarithm Function

Psi (Polygamma) Function

Adaptive Clenshaw-Curtis Quadrature

Random Combination

Infinite Integrals

Accuracy Measures

The Runs Test, or Wald-Wolfowitz Test

Converting string to number (Matlab style)

Trapezoidal Integration

Gaussian Triangle Quadrature

Accumulate Vector Elements

Broyden's Method

Chebyshev Approximation

Evaluate ODE Solution

Matrix Diagonal

Some Basic Matrices

Approximate and Sample Entropy

Numerical Differentiation

Fornberg's Finite Difference Approximation

Matrix Flipping (Matlab Style)

Hooke-Jeeves Method

Lambert's W Function

Inverse Permutation

Mode function (Matlab style)

Nelder-Mead Minimization Method

Lagrange and Newtons Interpolation

Rootfinding through Newton-Raphson or Secant.

Number of Elements

Plotting Two y-Axes

Peaks Function (Matlab Style)

Define Polynomial by Roots

Anti-derivative of Polynomial

Evaluating a Polynomial

Rational Interpolation

Sigmoid Function

Format Distance Matrix (Matlab Style)

Standard Deviation (Matlab Style)

Find and replace substring

Triangular Matrices (Matlab Style)

cot,csc,sec, etc.

More Trigonometric Functions

Vector Field Plotting

Matrix Rotation

Andrews' Curves

Logical AND, OR (Matlab Style)

Boundary Value Problems

Find Cutting Points

Euler-Heun ODE Solver

Fibonacci Search

find function (Matlab Style)

Gauss-Kronrod Quadrature

GCD and LCM Integer Functions

Hausdorff Distance

Histogram Count (Matlab style)

Inverse Fast Fourier Transformation

Muller's Method

Nonlinear Least-Squares Fitting

Moving Average Filters

Neville's Method

Hermitean Interpolation Polynomials

Adding Polynomials

Practical Numerical Math Routines

Continuous Fractions (Matlab Style)

Replicate Matrix

Savitzky-Golay Smoothing

semilogx,semilogy

Semi-logarithmic Plots (Matlab Style)

Taylor Series Approximation