Learn R Programming

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

pracma (version 1.4.0)

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

88,507

Version

1.4.0

License

GPL (>= 3)

Maintainer

HwB

Last Published

February 12th, 2013

Functions in pracma (1.4.0)

Rootfinding Through Bisection

2-D Barycentric Lagrange Interpolation

Integer Functions (Matlab Style)

n-dimensional Vector Cross Product

find function (Matlab Style)

Complex Root Finding

Golden Ratio Search

fletcher-powell

Davidon-Fletcher-Powell Method

Hypotenuse Function

Linearly Spaced Sequences

Lambert's W Function

Derivative of Polynomial

Solving the Procrustes Problem

Practical Numerical Math Routines

Vectorized Integration

Runge-Kutta-Fehlberg

Accuracy Measures

Reduced Row Echelon Form

Savitzky-Golay Smoothing

Triangular Matrices (Matlab Style)

cot,csc,sec, etc.

More Trigonometric Functions

Adams-Bashford-Moulton

Barycentric Lagrange Interpolation

Utility functions (Matlab style)

Brownian Motion

Coordinate Transformations

Vector Cross Product

Remove Linear Trends

Easy Polar Plot

ezcontour,ezmesh

Contour and Mesh Plotter

Fornberg's Finite Difference Approximation

Fresnel Integrals

Plot Multivariate Function

Laguerre's Method

Log-linearly Spaced Sequences

Laplacian Operator

LU Matrix Factorization

Integer Division

Find Cutting Points

Easy Function Plot

Einstein Functions

Complex Gamma Function

Number of Elements

Householder Reflections

Lagrange and Newtons Interpolation

Next Power of 2

Fitting by Polynomial

Kronecker product (Matlab Style)

Find overlapping regular expression matches.

Anti-derivative of Polynomial

Iterative Methods

Ridders' Method

Muller's Method

Replace string using regular expression

Newton Method for Nonlinear Systems

Kernel or Nullspace

Piecewise Linear Function

Print Polynomial

Sorting Routines

Monotone (Shape-Preserving) Interpolation

Polylogarithm Function

Polynomial Approximation

steepest_descent

Steepest Descent

Polynomial Transformation

Standard Deviation (Matlab Style)

Adaptive Gauss-Kronrod Quadrature

Matrix Square and p-th Roots

Converting string to number (Matlab style)

Gaussian Triangle Quadrature

Remove leading and trailing white space.

Whittaker Smoothing

Logical AND, OR (Matlab Style)

Directory Functions (Matlab style)

Fitting a Circle

Chebyshev Approximation

Matrix Condition

Double Integration

Evaluate ODE Solution

Parametric Curve Fit

Newton-Cotes Formulas

Fibonacci Search

Minimum Finding

Gauss-Laguerre Quadrature Formula

Histogram Count (Matlab style)

Inverse Laplacian

Matrix Inverse (Matlab Style)

isprime Property

Matlab Compatibility

geomean, harmmean

Geometric and Harmonic Mean (Matlab Style)

Rootfinding through Newton-Raphson or Secant.

Nonzero Elements

Adaptive Simpson Quadrature

Quiver or Velocity Plot

Romberg Integration

Sigmoid Function

String Comparison

Optimization Test Function

Trigonometric Approximation

Andrews' Curves

Degrees to Radians

Matrix Diagonal

Discrete Gradient (Matlab Style)

Numerical Differentiation

Hausdorff Distance

Matlab Test Functions

isempty Property

Gauss-Legendre Quadrature Formula

Moving Average Filters

Number of Dimensions

Gauss-Kronrod Quadrature

Pascal Triangle

Continuous Fractions (Matlab Style)

Piecewise Polynomial Structures

Classical Runge-Kutta

Basic Complex Functions

Rational Function Approximation

Brent-Dekker Root Finding Method

Elementwise Function Application (Matlab Style)

Generate Combinations

Complex Step Derivation

Segment Distance

Double Simpson Integration

semilogx,semilogy

Semi-logarithmic Plots (Matlab Style)

Control Plot Devices (Matlab Style)

Numerical Gradient

Dirichlet Eta Function

Sort Rows of a Matrix (Matlab Style)

Random Permutation

Toeplitz Matrix

Riemann Zeta Function

Vector Field Plotting

Neville's Method

Two-dimensional Data Interpolation

Define Polynomial by Roots

Adding Polynomials

String Concatenation

MATLAB timer functions

Tridiagonal Linear System Solver

Boundary Value Problems

Characteristic Polynomial

Chebyshev Polynomials

clear, who(s), ver

Clear function (Matlab style)

Companion Matrix

Polynomial Convolution

Elliptic and Jacobi Elliptic Integrals

Eigenvalue Function (Matlab Style)

Exponential and Logarithmic Integral

Matrix Flipping (Matlab Style)

Distance Matrix

Hadamard Matrix

Nelder-Mead Minimization Method

Generate a Mesh Grid

Hermitean Interpolation Polynomials

Generate Permutations

Polar Coordinate Plot (Matlab Style)

2-d Gaussian Quadrature

Gaussian Quadrature with Richardson Extrapolation

Rational Interpolation

Generate Random Orthogogonal Matrix

Matrix Rotation

Soft (Inexact) Line Search

Titanium Test Data

Trigonometric Polynomial

Block Diagonal Matrix

Matrix Exponential

Crank-Nicolson Method

Approximate Entropy

Factorial Function

Some Basic Matrices

Incomplete Gamma Function

Gauss-Hermite Quadrature Formula

Inverse Fast Fourier Transformation

Interpolation by Kriging

Multi-exponential Fitting

coth,csch,sech, etc.

More Hyperbolic Functions

Mode function (Matlab style)

Nonlinear Least-Squares Fitting

Pade Approximation

Polynomial Powers

Adaptive Simpson Quadrature

Infinite Integrals

Find and replace substring

Vandermonde matrix

Angle between two subspaces

Arithmetic-geometric Mean

Accumulate Vector Elements

String of Blank Carakters

Broyden's Method

clenshaw_curtis

Clenshaw-Curtis Quadrature Formula

Interpolating Cubic Spline

Euler-Heun ODE Solver

Event Detection in ODE solution

Find Interval Indices

Givens Rotation

Gauss-Newton Function Minimization

GCD and LCM Integer Functions

Lebesgue Constant

Jacobian Matrix

Newton's Root Finding Method for Polynomials.

Estimated Matrix Norm

Richardson's Numerical Derivative

Pseudoinverse or Generalized Inverse

Plotting Crosses

Peaks Function (Matlab Style)

Multiplying Polynomials

Evaluating a Polynomial

Create Random Matrices

Match regular expression

Justify character vector

Taylor Series Approximation

Univariate Akima Interpolation

Chebyshev Polynomials

Univariate Global Optimization

Jacobi Eigenvalue Method

Error Functions and Inverses (Matlab Style)

Plot Error Bars

Find All Minima

Finding Function Minimum

Hooke-Jeeves Method

Inverse Permutation

K-means++ Clustering

Linear Least-Squares Fitting

One-dimensional Interpolation

Matlab backslash operator

Binomial Coefficients

Solve System of Nonlinear Equations

Plotting Two y-Axes

Area of a Polygon

Piecewise Polynomial Fit

Adaptive Lobatto Quadrature

Random Combination

Replicate Matrix

Polynomial Roots

Segment Intersection

Find Substrings

Trapezoidal Integration

wilkinson Matrix