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pracma (version 1.7.9)

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.

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Version

Install

install.packages('pracma')

Monthly Downloads

108,124

Version

1.7.9

License

GPL (>= 3)

Maintainer

Last Published

November 15th, 2014

Functions in pracma (1.7.9)

Adams-Bashford-Moulton

clenshaw_curtis

Clenshaw-Curtis Quadrature Formula

Polynomial Convolution

Companion Matrix

Matrix Condition

Event Detection in ODE solution

Remove Linear Trends

Some Basic Matrices

Matrix Exponential

Euler-Heun ODE Solver

Gauss-Hermite Quadrature Formula

Geometric Median

Fresnel Integrals

Matlab Test Functions

L1 Linear Regression

Legendre Functions (Matlab Style)

geomean, harmmean

Geometric and Harmonic Mean (Matlab Style)

Hermitean Interpolation Polynomials

Area of a Polygon

Anti-derivative of Polynomial

Adaptive Lobatto Quadrature

MATLAB timer functions

Vandermonde matrix

wilkinson Matrix

Solving the Procrustes Problem

Gaussian Quadrature with Richardson Extrapolation

Evaluate ODE Solution

Error Functions and Inverses (Matlab Style)

Define Polynomial by Roots

Rational Interpolation

Univariate Akima Interpolation

clear, who(s), ver

Clear function (Matlab style)

Utility functions (Matlab style)

Accumulate Vector Elements

Binary Representation

Fibonacci Search

Integer Functions (Matlab Style)

Univariate Global Optimization

Factorial Function

Broyden's Method

Matrix Diagonal

Chebyshev Approximation

ezcontour,ezmesh

Contour and Mesh Plotter

Complex Root Finding

Directory Functions (Matlab style)

Approximate and Sample Entropy

Find Interval Indices

Numerical Gradient

Basic Complex Functions

String of Blank Carakters

Gauss-Legendre Quadrature Formula

Fornberg's Finite Difference Approximation

Easy Polar Plot

Dirichlet Eta Function

Elementwise Function Application (Matlab Style)

Numerical Differentiation

Chebyshev Polynomials

n-dimensional Vector Cross Product

Solve System of Nonlinear Equations

Householder Reflections

coth,csch,sech, etc.

More Hyperbolic Functions

Jacobi Eigenvalue Method

Rootfinding Through Bisection

Characteristic Polynomial

2-D Barycentric Lagrange Interpolation

GCD and LCM Integer Functions

Barycentric Lagrange Interpolation

Newton-Cotes Formulas

Distance Matrix

Halley's Root Finding Mathod

Two-dimensional Data Interpolation

Lambert's W Function

Arithmetic-geometric Mean

Exponential and Logarithmic Integral

Degrees to Radians

isempty Property

Matrix Flipping (Matlab Style)

Laplacian Operator

Golden Ratio Search

Brownian Motion

Complex Gamma Function

Numerically Evaluate Double and Triple Integrals

Adaptive Numerical Integration

Find All Minima

Incomplete Gamma Function

Matlab Compatibility

Kronecker product (Matlab Style)

Next Power of 2

Gauss-Kronrod Quadrature

Richardson's Numerical Derivative

Moving Average Filters

Pseudoinverse or Generalized Inverse

Adding Polynomials

find function (Matlab Style)

Vector Cross Product

Hadamard Matrix

Nonzero Elements

Parametric Curve Fit

Double and Triple Integration

Coordinate Transformations

Generate Permutations

Rootfinding through Newton-Raphson or Secant.

Polar Coordinate Plot (Matlab Style)

Piecewise Linear Function

Brent-Dekker Root Finding Algorithm

Arc Length of a Curve

Chebyshev Polynomials

Peaks Function (Matlab Style)

Generalized Minimal Residual Method

Find Cutting Points

Plotting Two y-Axes

Inverse Laplacian

Polynomial Powers

Discrete Gradient (Matlab Style)

Hooke-Jeeves Minimization Method

Derivative of Polynomial

Rational Function Approximation

Control Plot Devices (Matlab Style)

2-d Gaussian Quadrature

Floating Point Relative Accuracy

Histogram Bin-width Optimization

Special Quadratic Programming Solver

Random Permutation

fletcher-powell

Davidon-Fletcher-Powell Method

Givens Rotation

Match regular expression

Inverse Fast Fourier Transformation

One-dimensional Interpolation

Nelder-Mead Minimization

Matrix Inverse (Matlab Style)

Accuracy Measures

Interpolation by Kriging

Segment Intersection

Converting string to number (Matlab style)

Reduced Row Echelon Form

Line integral (in the complex plane)

LU Matrix Factorization

Finding Function Minimum

Linear Programming Solver

Jacobian Matrix

Plot Multivariate Function

Monotone (Shape-Preserving) Interpolation

Inverse Permutation

Sort Rows of a Matrix (Matlab Style)

Segment Distance

Justify character vector

Trigonometric Approximation

Polylogarithm Function

Savitzky-Golay Smoothing

Adaptive Simpson Quadrature

Binomial Coefficients

Integer Division

Adaptive Gauss-Kronrod Quadrature

Steepest Descent Minimization

Nearest Symmetric Positive-definite Matrix

isprime Property

Iterative Methods

Remove leading and trailing white space.

Laguerre's Method

Newton Method for Nonlinear Systems

Fitting by Polynomial

Generate a Mesh Grid

Lebesgue Constant

Lagrange and Newtons Interpolation

Print Polynomial

Standard Deviation (Matlab Style)

Adaptive Clenshaw-Curtis Quadrature

Pade Approximation

Bulirsch-Stoer Algorithm

Adaptive Simpson Quadrature

Newton's Root Finding Method for Polynomials.

Piecewise Polynomial Fit

Generate Random Orthogogonal Matrix

Linear Least-Squares Fitting

Double Simpson Integration

Evaluating a Polynomial

Number of Elements

Find overlapping regular expression matches.

Continuous Fractions (Matlab Style)

Vectorized Integration

Random Combination

Rectangle Intersection Areas

The Runs Test, or Wald-Wolfowitz Test

Matrix Rotation

String Concatenation

Replace string using regular expression

Romberg Integration

Polynomial Roots

semilogx,semilogy

Semi-logarithmic Plots (Matlab Style)

Sorting Routines

Muller's Method

Kernel or Nullspace

Matlab backslash operator

Taylor Series Approximation

Polynomial Approximation

Soft (Inexact) Line Search

String Comparison

Nile overflow data

Triangular Matrices (Matlab Style)

Find and replace substring

Orthogonal Distance Regression

Matrix Square and p-th Roots

Replicate Matrix

Titanium Test Data

Whittaker Smoothing

cot,csc,sec, etc.

More Trigonometric Functions

Trigonometric Polynomial

Tridiagonal Linear System Solver

Gaussian Triangle Quadrature

Trapezoidal Integration

Riemann Zeta Function

Block Diagonal Matrix

Boundary Value Problems

Fitting a Circle

Crank-Nicolson Method

Interpolating Cubic Spline

Elliptic and Jacobi Elliptic Integrals

Plot Error Bars

Easy Function Plot

Minimum Finding

Gauss-Newton Function Minimization

Gauss-Laguerre Quadrature Formula

Histogram Count (Matlab style)

Log-linearly Spaced Sequences

Multi-exponential Fitting

Mode function (Matlab style)

Number of Dimensions

Neville's Method

Non-stiff (and stiff) ODE solvers

Estimated Matrix Norm

Pascal Triangle

Practical Numerical Math Routines

Quiver or Velocity Plot

Infinite Integrals

Ridders' Method

Create Random Matrices

Classical Runge-Kutta

Runge-Kutta-Fehlberg

Angle between two subspaces

Toeplitz Matrix

Andrews' Curves

Logical AND, OR (Matlab Style)

Complex Step Derivatives

Generate Combinations

Einstein Functions

Eigenvalue Function (Matlab Style)

Hausdorff Distance

Hypotenuse Function

Linearly Spaced Sequences

Nonlinear Least-Squares Fitting

Polynomial Transformation

Piecewise Polynomial Structures

Psi (Polygamma) Function

Multiplying Polynomials

Sigmoid Function

Format Distance Matrix (Matlab Style)

Find Substrings

Vector Field Plotting