Learn R Programming

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

pracma (version 1.6.4)

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

87,555

Version

1.6.4

License

GPL (>= 3)

Maintainer

HwB

Last Published

February 6th, 2014

Functions in pracma (1.6.4)

2-D Barycentric Lagrange Interpolation

Brownian Motion

Remove Linear Trends

Approximate and Sample Entropy

Vector Cross Product

Elliptic and Jacobi Elliptic Integrals

Finding Function Minimum

Plot Multivariate Function

Minimum Finding

Geometric Median

GCD and LCM Integer Functions

Hooke-Jeeves Method

One-dimensional Interpolation

Matlab Compatibility

Matlab backslash operator

Pade Approximation

Plotting Two y-Axes

Hermitean Interpolation Polynomials

Pascal Triangle

Polynomial Approximation

Classical Runge-Kutta

Romberg Integration

Matrix Rotation

Polynomial Roots

String Concatenation

Toeplitz Matrix

Trapezoidal Integration

Accumulate Vector Elements

Rootfinding Through Bisection

Coordinate Transformations

Fitting a Circle

Generate Combinations

Polynomial Convolution

Univariate Global Optimization

Fornberg's Finite Difference Approximation

Matrix Flipping (Matlab Style)

Gauss-Newton Function Minimization

Givens Rotation

Hausdorff Distance

Inverse Permutation

Numerically Evaluate Double and Triple Integrals

Laguerre's Method

Generate a Mesh Grid

Lagrange and Newtons Interpolation

Kernel or Nullspace

Orthogonal Distance Regression

Polylogarithm Function

Create Random Matrices

Adaptive Gauss-Kronrod Quadrature

Utility functions (Matlab style)

Monotone (Shape-Preserving) Interpolation

Block Diagonal Matrix

Find Cutting Points

Jacobi Eigenvalue Method

Dirichlet Eta Function

Matrix Exponential

Easy Polar Plot

Fibonacci Search

String of Blank Carakters

clear, who(s), ver

Clear function (Matlab style)

Golden Ratio Search

Generalized Minimal Residual Method

Einstein Functions

Integer Functions (Matlab Style)

Histogram Count (Matlab style)

Inverse Fast Fourier Transformation

Eigenvalue Function (Matlab Style)

isempty Property

Numerical Differentiation

Moving Average Filters

L1 Linear Regression

Next Power of 2

Log-linearly Spaced Sequences

isprime Property

Number of Elements

Estimated Matrix Norm

Pseudoinverse or Generalized Inverse

Newton's Root Finding Method for Polynomials.

Rootfinding through Newton-Raphson or Secant.

Polynomial Transformation

LU Matrix Factorization

Generate Permutations

Polynomial Powers

Adding Polynomials

Practical Numerical Math Routines

Gaussian Quadrature with Richardson Extrapolation

Adaptive Clenshaw-Curtis Quadrature

Vectorized Integration

Replicate Matrix

Adaptive Lobatto Quadrature

Random Combination

Continuous Fractions (Matlab Style)

Rational Interpolation

Runge-Kutta-Fehlberg

Remove leading and trailing white space.

Reduced Row Echelon Form

Replace string using regular expression

Trigonometric Polynomial

The Runs Test, or Wald-Wolfowitz Test

semilogx,semilogy

Semi-logarithmic Plots (Matlab Style)

Riemann Zeta Function

Segment Intersection

steepest_descent

Steepest Descent

Taylor Series Approximation

Triangular Matrices (Matlab Style)

Logical AND, OR (Matlab Style)

Brent-Dekker Root Finding Algorithm

Broyden's Method

Characteristic Polynomial

Chebyshev Polynomials

Complex Step Derivatives

ezcontour,ezmesh

Contour and Mesh Plotter

Fresnel Integrals

Gauss-Kronrod Quadrature

Interpolation by Kriging

Laplacian Operator

Linear Least-Squares Fitting

Nearest Symmetric Positive-definite Matrix

Number of Dimensions

Richardson's Numerical Derivative

Rectangle Intersection Areas

Sort Rows of a Matrix (Matlab Style)

Accuracy Measures

Angle between two subspaces

Quiver or Velocity Plot

cot,csc,sec, etc.

More Trigonometric Functions

Converting string to number (Matlab style)

Chebyshev Approximation

Companion Matrix

Crank-Nicolson Method

Matrix Diagonal

Error Functions and Inverses (Matlab Style)

Floating Point Relative Accuracy

Find Interval Indices

find function (Matlab Style)

Control Plot Devices (Matlab Style)

coth,csch,sech, etc.

More Hyperbolic Functions

Hypotenuse Function

Binomial Coefficients

Peaks Function (Matlab Style)

Psi (Polygamma) Function

Infinite Integrals

Piecewise Polynomial Fit

Vandermonde matrix

Match regular expression

Tridiagonal Linear System Solver

Arithmetic-geometric Mean

Univariate Akima Interpolation

Andrews' Curves

Basic Complex Functions

Elementwise Function Application (Matlab Style)

clenshaw_curtis

Clenshaw-Curtis Quadrature Formula

Double and Triple Integration

Interpolating Cubic Spline

Complex Gamma Function

Hadamard Matrix

Histogram Bin-width Optimization

Matlab Test Functions

Iterative Methods

Jacobian Matrix

Legendre Functions (Matlab Style)

Lebesgue Constant

Newton Method for Nonlinear Systems

Multiplying Polynomials

Adaptive Simpson Quadrature

Random Permutation

Generate Random Orthogogonal Matrix

Segment Distance

Double Simpson Integration

String Comparison

Find Substrings

Vector Field Plotting

Boundary Value Problems

Chebyshev Polynomials

Matrix Condition

Parametric Curve Fit

Degrees to Radians

Plot Error Bars

Euler-Heun ODE Solver

Some Basic Matrices

Factorial Function

Find All Minima

fletcher-powell

Davidon-Fletcher-Powell Method

Householder Reflections

Kronecker product (Matlab Style)

Linearly Spaced Sequences

Nonlinear Least-Squares Fitting

Linear Programming Solver

Multi-exponential Fitting

Mode function (Matlab style)

Neville's Method

Nonzero Elements

Nelder-Mead Minimization Method

Area of a Polygon

Polar Coordinate Plot (Matlab Style)

Fitting by Polynomial

Solving the Procrustes Problem

2-d Gaussian Quadrature

Savitzky-Golay Smoothing

Format Distance Matrix (Matlab Style)

Titanium Test Data

Trigonometric Approximation

Whittaker Smoothing

Arc Length of a Curve

Evaluate ODE Solution

n-dimensional Vector Cross Product

Barycentric Lagrange Interpolation

Event Detection in ODE solution

Easy Function Plot

Solve System of Nonlinear Equations

Complex Root Finding

Gauss-Hermite Quadrature Formula

Gauss-Laguerre Quadrature Formula

Discrete Gradient (Matlab Style)

Two-dimensional Data Interpolation

Halley's Root Finding Mathod

Adaptive Numerical Integration

Matrix Inverse (Matlab Style)

geomean, harmmean

Geometric and Harmonic Mean (Matlab Style)

Muller's Method

Piecewise Linear Function

Piecewise Polynomial Structures

Find overlapping regular expression matches.

Derivative of Polynomial

Ridders' Method

Sigmoid Function

Matrix Square and p-th Roots

Standard Deviation (Matlab Style)

Inverse Laplacian

Directory Functions (Matlab style)

Print Polynomial

Anti-derivative of Polynomial

Find and replace substring

wilkinson Matrix

Soft (Inexact) Line Search

Sorting Routines

Gauss-Legendre Quadrature Formula

Lambert's W Function

Rational Function Approximation

Justify character vector

MATLAB timer functions

Adams-Bashford-Moulton

Gaussian Triangle Quadrature

Numerical Gradient

Evaluating a Polynomial

Distance Matrix

Exponential and Logarithmic Integral

Adaptive Simpson Quadrature

Integer Division

Define Polynomial by Roots

Newton-Cotes Formulas

Incomplete Gamma Function