Learn R Programming

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

pracma (version 1.9.3)

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

67,545

Version

1.9.3

License

GPL (>= 3)

Maintainer

Last Published

May 29th, 2016

Functions in pracma (1.9.3)

2-D Barycentric Lagrange Interpolation

Adams-Bashford-Moulton

Basic Complex Functions

Accumulate Vector Elements

Univariate Akima Interpolation

Arc Length of a Curve

Andrews' Curves

Barycentric Lagrange Interpolation

Logical AND, OR (Matlab Style)

String of Blank Carakters

Brent-Dekker Root Finding Algorithm

Block Diagonal Matrix

Rootfinding Through Bisection

Broyden's Method

Elementwise Function Application (Matlab Style)

Coordinate Transformations

Brownian Motion

Binary Representation

Utility functions (Matlab style)

clear, who(s), ver

Clear function (Matlab style)

Characteristic Polynomial

Integer Functions (Matlab Style)

Fitting a Circle

Directory Functions (Matlab style)

clenshaw_curtis

Clenshaw-Curtis Quadrature Formula

Generate Combinations

Chebyshev Polynomials

Chebyshev Polynomials

Chebyshev Approximation

Crank-Nicolson Method

n-dimensional Vector Cross Product

Newton-Cotes Formulas

Companion Matrix

Complex Step Derivatives

Parametric Curve Fit

Vector Cross Product

Interpolating Cubic Spline

Matrix Condition

Polynomial Convolution

Evaluate ODE Solution

Double and Triple Integration

Univariate Global Optimization

Degrees to Radians

Remove Linear Trends

Matrix Diagonal

Find Cutting Points

Distance Matrix

Event Detection in ODE solution

Plot Error Bars

find function (Matlab Style)

Dirichlet Eta Function

ezcontour,ezmesh

Contour and Mesh Plotter

Easy Function Plot

Find Interval Indices

Fornberg's Finite Difference Approximation

Givens Rotation

Generalized Minimal Residual Method

Plot Multivariate Function

Complex Gamma Function

Complex Root Finding

Householder Reflections

Matlab Test Functions

Floating Point Relative Accuracy

Error Functions and Inverses (Matlab Style)

Minimum Finding

Finding Function Minimum

Gauss-Kronrod Quadrature

Hausdorff Distance

Gauss-Legendre Quadrature Formula

Hooke-Jeeves Minimization Method

Interpolation by Kriging

Jacobian Matrix

Generate a Mesh Grid

Bulirsch-Stoer Algorithm

Integer Division

Rootfinding through Newton-Raphson or Secant.

Matlab backslash operator

Newton Method for Nonlinear Systems

Number of Elements

Iterative Methods

isprime Property

Legendre Functions (Matlab Style)

Line integral (in the complex plane)

Matlab Compatibility

Binomial Coefficients

geomean, harmmean

Geometric and Harmonic Mean (Matlab Style)

Some Basic Matrices

Euler-Heun ODE Solver

Numerical Differentiation

Halley's Root Finding Mathod

Non-stiff (and stiff) ODE solvers

Hermitean Interpolation Polynomials

Evaluating a Polynomial

Peaks Function (Matlab Style)

Solving the Procrustes Problem

Special Quadratic Programming Solver

Two-dimensional Data Interpolation

Matrix Inverse (Matlab Style)

Kronecker product (Matlab Style)

L1 Linear Regression

Pade Approximation

LU Matrix Factorization

Pascal Triangle

Neville's Method

Number of Dimensions

Richardson's Numerical Derivative

Kernel or Nullspace

Generate Permutations

polyfit,polyfix

Fitting by Polynomial

Piecewise Linear Function

Piecewise Polynomial Structures

Derivative of Polynomial

Jacobi Eigenvalue Method

Easy Polar Plot

Approximate and Sample Entropy

Factorial Function

Find All Minima

Fibonacci Search

Control Plot Devices (Matlab Style)

Eigenvalue Function (Matlab Style)

Matrix Flipping (Matlab Style)

Hypotenuse Function

Inverse Fast Fourier Transformation

Adaptive Numerical Integration

Linear Least-Squares Fitting

Lambert's W Function

Laguerre's Method

Linear Least-Squares Fitting with linear constraints

Random Permutation

Rational Function Approximation

Rectangle Intersection Areas

Savitzky-Golay Smoothing

Converting string to number (Matlab style)

Double Simpson Integration

String Concatenation

Piecewise Polynomial Fit

Adaptive Gauss-Kronrod Quadrature

Gaussian Quadrature with Richardson Extrapolation

Matrix Rotation

Reduced Row Echelon Form

Format Distance Matrix (Matlab Style)

Segment Distance

Segment Intersection

Moving Average Filters

Muller's Method

Toeplitz Matrix

Nonzero Elements

Estimated Matrix Norm

Practical Numerical Math Routines

Pseudoinverse or Generalized Inverse

Plotting Two y-Axes

Solve System of Nonlinear Equations

Golden Ratio Search

Discrete Gradient (Matlab Style)

Histogram Count (Matlab style)

One-dimensional Interpolation

Histogram Bin-width Optimization

Log-linearly Spaced Sequences

Numerically Evaluate Double and Triple Integrals

Vectorized Integration

Linearly Spaced Sequences

Quiver or Velocity Plot

Find overlapping regular expression matches.

Match regular expression

Standard Deviation (Matlab Style)

Tridiagonal Linear System Solver

Steepest Descent Minimization

Trapezoidal Integration

Gaussian Triangle Quadrature

Whittaker Smoothing

Triangular Matrices (Matlab Style)

Polar Coordinate Plot (Matlab Style)

wilkinson Matrix

Define Polynomial by Roots

Anti-derivative of Polynomial

Multiplying Polynomials

Replace string using regular expression

2-d Gaussian Quadrature

Adaptive Clenshaw-Curtis Quadrature

Replicate Matrix

Romberg Integration

Polynomial Roots

Mode function (Matlab style)

Newton's Root Finding Method for Polynomials.

Lagrange and Newtons Interpolation

Polynomial Powers

Orthogonal Distance Regression

Polynomial Transformation

Adaptive Simpson Quadrature

GCD and LCM Integer Functions

Geometric Median

Hadamard Matrix

Inverse Laplacian

isempty Property

coth,csch,sech, etc.

More Hyperbolic Functions

Laplacian Operator

Lebesgue Constant

Sort Rows of a Matrix (Matlab Style)

Monotone (Shape-Preserving) Interpolation

Find Substrings

String Comparison

Angle between two subspaces

Remove leading and trailing white space.

cot,csc,sec, etc.

More Trigonometric Functions

Create Random Matrices

Trigonometric Approximation

Random Combination

Classical Runge-Kutta

Runge-Kutta-Fehlberg

Adaptive Simpson Quadrature

Accuracy Measures

Alternating Series Acceleration

semilogx,semilogy

Semi-logarithmic Plots (Matlab Style)

Taylor Series Approximation

Vandermonde matrix

Vector Field Plotting

Nearest Symmetric Positive-definite Matrix

Nelder-Mead Minimization

Next Power of 2

Print Polynomial

Nile overflow data

Area of a Polygon

Polynomial Approximation

Adding Polynomials

Adaptive Lobatto Quadrature

Infinite Integrals

Continuous Fractions (Matlab Style)

Rational Interpolation

Generate Random Orthogogonal Matrix

Sorting Routines

Soft (Inexact) Line Search

Find and replace substring

Justify character vector

MATLAB timer functions

Titanium Test Data

Riemann Zeta Function