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pracma (version 1.6.1)

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

68,067

Version

1.6.1

License

GPL (>= 3)

Maintainer

HwB

Last Published

January 14th, 2014

Functions in pracma (1.6.1)

Broyden's Method

Arc Length of a Curve

Integer Functions (Matlab Style)

clear, who(s), ver

Clear function (Matlab style)

Distance Matrix

Double and Triple Integration

Floating Point Relative Accuracy

find function (Matlab Style)

Matrix Flipping (Matlab Style)

Complex Root Finding

Gauss-Hermite Quadrature Formula

GCD and LCM Integer Functions

Inverse Permutation

Matlab backslash operator

Orthogonal Distance Regression

Fitting by Polynomial

Polylogarithm Function

Polar Coordinate Plot (Matlab Style)

Romberg Integration

Classical Runge-Kutta

Savitzky-Golay Smoothing

String Comparison

Arithmetic-geometric Mean

Andrews' Curves

2-D Barycentric Lagrange Interpolation

Elementwise Function Application (Matlab Style)

n-dimensional Vector Cross Product

Matrix Condition

Matrix Exponential

Exponential and Logarithmic Integral

Discrete Gradient (Matlab Style)

Givens Rotation

Hausdorff Distance

Matlab Test Functions

Rootfinding through Newton-Raphson or Secant.

Generate Permutations

Plotting Two y-Axes

Integer Division

Adding Polynomials

Adaptive Clenshaw-Curtis Quadrature

Directory Functions (Matlab style)

Vector Cross Product

Eigenvalue Function (Matlab Style)

Einstein Functions

Approximate and Sample Entropy

Adaptive Lobatto Quadrature

Vectorized Integration

Matrix Rotation

Solve System of Nonlinear Equations

Find Interval Indices

Vandermonde matrix

Fornberg's Finite Difference Approximation

Histogram Count (Matlab style)

Inverse Fast Fourier Transformation

Laguerre's Method

Matlab Compatibility

Generate a Mesh Grid

Neville's Method

Nelder-Mead Minimization Method

LU Matrix Factorization

Pseudoinverse or Generalized Inverse

Multiplying Polynomials

Psi (Polygamma) Function

Rational Interpolation

Accuracy Measures

Practical Numerical Math Routines

Runge-Kutta-Fehlberg

String Concatenation

Segment Distance

MATLAB timer functions

Remove leading and trailing white space.

Riemann Zeta Function

Tridiagonal Linear System Solver

Univariate Akima Interpolation

Barycentric Lagrange Interpolation

clenshaw_curtis

Clenshaw-Curtis Quadrature Formula

Event Detection in ODE solution

Brownian Motion

Polynomial Convolution

Complex Step Derivation

Dirichlet Eta Function

Easy Function Plot

Find All Minima

fletcher-powell

Davidon-Fletcher-Powell Method

Fibonacci Search

Gauss-Kronrod Quadrature

Iterative Methods

Interpolation by Kriging

Lebesgue Constant

Fresnel Integrals

Rootfinding Through Bisection

Hooke-Jeeves Method

Histogram Bin-width Optimization

Adaptive Numerical Integration

Two-dimensional Data Interpolation

Number of Elements

Derivative of Polynomial

Angle between two subspaces

wilkinson Matrix

Block Diagonal Matrix

Newton-Cotes Formulas

Jacobi Eigenvalue Method

Complex Gamma Function

isprime Property

Gauss-Laguerre Quadrature Formula

Linear Programming Solver

Nearest Symmetric Positive-definite Matrix

Adaptive Gauss-Kronrod Quadrature

Sigmoid Function

Trigonometric Polynomial

Matrix Diagonal

Error Functions and Inverses (Matlab Style)

Control Plot Devices (Matlab Style)

Finding Function Minimum

Generalized Minimal Residual Method

Numerical Gradient

coth,csch,sech, etc.

More Hyperbolic Functions

Evaluating a Polynomial

Polynomial Approximation

The Runs Test, or Wald-Wolfowitz Test

steepest_descent

Steepest Descent

Companion Matrix

Find Cutting Points

Some Basic Matrices

Estimated Matrix Norm

Random Permutation

Infinite Integrals

semilogx,semilogy

Semi-logarithmic Plots (Matlab Style)

Standard Deviation (Matlab Style)

Trigonometric Approximation

Accumulate Vector Elements

String of Blank Carakters

Generate Combinations

Evaluate ODE Solution

Minimum Finding

Golden Ratio Search

Inverse Laplacian

Linear Least-Squares Fitting

Number of Dimensions

Newton Method for Nonlinear Systems

Richardson's Numerical Derivative

Anti-derivative of Polynomial

Define Polynomial by Roots

Piecewise Polynomial Fit

isempty Property

Quiver or Velocity Plot

Rational Function Approximation

Find Substrings

Titanium Test Data

Vector Field Plotting

Whittaker Smoothing

Match regular expression

Adams-Bashford-Moulton

Boundary Value Problems

Degrees to Radians

ezcontour,ezmesh

Contour and Mesh Plotter

Factorial Function

Multi-exponential Fitting

geomean, harmmean

Geometric and Harmonic Mean (Matlab Style)

Mode function (Matlab style)

Binomial Coefficients

Next Power of 2

Newton's Root Finding Method for Polynomials.

Pascal Triangle

Print Polynomial

Piecewise Polynomial Structures

Polynomial Transformation

Continuous Fractions (Matlab Style)

Reduced Row Echelon Form

Matrix Square and p-th Roots

Find and replace substring

Justify character vector

Trapezoidal Integration

cot,csc,sec, etc.

More Trigonometric Functions

Toeplitz Matrix

Taylor Series Approximation

Utility functions (Matlab style)

Parametric Curve Fit

Elliptic and Jacobi Elliptic Integrals

Characteristic Polynomial

Crank-Nicolson Method

Fitting a Circle

Legendre Functions (Matlab Style)

Chebyshev Polynomials

Incomplete Gamma Function

Chebyshev Approximation

Area of a Polygon

Chebyshev Polynomials

Coordinate Transformations

L1 Linear Regression

Kernel or Nullspace

Linearly Spaced Sequences

Remove Linear Trends

Generate Random Orthogogonal Matrix

Interpolating Cubic Spline

Moving Average Filters

Numerical Differentiation

Create Random Matrices

Peaks Function (Matlab Style)

Easy Polar Plot

Hypotenuse Function

Nonlinear Least-Squares Fitting

Lagrange and Newtons Interpolation

Euler-Heun ODE Solver

Replace string using regular expression

Ridders' Method

Sort Rows of a Matrix (Matlab Style)

Polynomial Powers

2-d Gaussian Quadrature

Numerically Evaluate Double and Triple Integrals

Muller's Method

Find overlapping regular expression matches.

Laplacian Operator

One-dimensional Interpolation

Lambert's W Function

Converting string to number (Matlab style)

Triangular Matrices (Matlab Style)

Logical AND, OR (Matlab Style)

Basic Complex Functions

Piecewise Linear Function

Segment Intersection

Gaussian Quadrature with Richardson Extrapolation

Brent-Dekker Root Finding Method

Double Simpson Integration

Rectangle Intersection Areas

Replicate Matrix

Monotone (Shape-Preserving) Interpolation

Geometric Median

Univariate Global Optimization

Random Combination

Matrix Inverse (Matlab Style)

Pade Approximation

Gauss-Newton Function Minimization

Format Distance Matrix (Matlab Style)

Polynomial Roots

Sorting Routines

Solving the Procrustes Problem

Hadamard Matrix

Householder Reflections

Soft (Inexact) Line Search

Plot Multivariate Function

Gauss-Legendre Quadrature Formula

Kronecker product (Matlab Style)

Jacobian Matrix

Hermitean Interpolation Polynomials

Adaptive Simpson Quadrature

Plot Error Bars

Adaptive Simpson Quadrature

Log-linearly Spaced Sequences

Nonzero Elements

Gaussian Triangle Quadrature