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pracma (version 1.7.3)

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.

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Version

Install

install.packages('pracma')

Monthly Downloads

108,124

Version

1.7.3

License

GPL (>= 3)

Maintainer

Last Published

October 12th, 2014

Functions in pracma (1.7.3)

Brent-Dekker Root Finding Algorithm

Integer Functions (Matlab Style)

Accumulate Vector Elements

Directory Functions (Matlab style)

Event Detection in ODE solution

clear, who(s), ver

Clear function (Matlab style)

Arithmetic-geometric Mean

Basic Complex Functions

Univariate Akima Interpolation

Rootfinding Through Bisection

clenshaw_curtis

Clenshaw-Curtis Quadrature Formula

Matrix Exponential

Find Cutting Points

Generate Combinations

Barycentric Lagrange Interpolation

Boundary Value Problems

Adams-Bashford-Moulton

Einstein Functions

Plot Error Bars

ezcontour,ezmesh

Contour and Mesh Plotter

Gauss-Newton Function Minimization

Univariate Global Optimization

Binary Representation

Coordinate Transformations

Elliptic and Jacobi Elliptic Integrals

Easy Function Plot

Chebyshev Polynomials

n-dimensional Vector Cross Product

Complex Step Derivatives

Fornberg's Finite Difference Approximation

Find Interval Indices

Gauss-Hermite Quadrature Formula

Andrews' Curves

Arc Length of a Curve

Broyden's Method

Brownian Motion

Characteristic Polynomial

Evaluate ODE Solution

Matrix Diagonal

Generalized Minimal Residual Method

Hooke-Jeeves Method

Some Basic Matrices

Incomplete Gamma Function

find function (Matlab Style)

Numerical Differentiation

Givens Rotation

Solve System of Nonlinear Equations

coth,csch,sech, etc.

More Hyperbolic Functions

Matrix Inverse (Matlab Style)

Iterative Methods

Lambert's W Function

Control Plot Devices (Matlab Style)

GCD and LCM Integer Functions

Plot Multivariate Function

Gauss-Kronrod Quadrature

isempty Property

Inverse Fast Fourier Transformation

Multi-exponential Fitting

Generate a Mesh Grid

Laplacian Operator

LU Matrix Factorization

L1 Linear Regression

Pade Approximation

Neville's Method

Adaptive Gauss-Kronrod Quadrature

Orthogonal Distance Regression

Newton Method for Nonlinear Systems

Quiver or Velocity Plot

Rootfinding through Newton-Raphson or Secant.

Halley's Root Finding Mathod

Kernel or Nullspace

Newton's Root Finding Method for Polynomials.

Polynomial Transformation

Hadamard Matrix

Two-dimensional Data Interpolation

One-dimensional Interpolation

Find overlapping regular expression matches.

Hermitean Interpolation Polynomials

Integer Division

Nearest Symmetric Positive-definite Matrix

Interpolation by Kriging

Kronecker product (Matlab Style)

Line integral (in the complex plane)

Jacobian Matrix

Rational Function Approximation

Piecewise Linear Function

Polar Coordinate Plot (Matlab Style)

Accuracy Measures

Block Diagonal Matrix

Generate Permutations

Pseudoinverse or Generalized Inverse

Vectorized Integration

Rational Interpolation

Number of Elements

Classical Runge-Kutta

Plotting Two y-Axes

Richardson's Numerical Derivative

Crank-Nicolson Method

Polynomial Convolution

Vector Cross Product

Pascal Triangle

Ridders' Method

2-D Barycentric Lagrange Interpolation

Polynomial Approximation

String of Blank Carakters

Interpolating Cubic Spline

Newton-Cotes Formulas

Eigenvalue Function (Matlab Style)

Replace string using regular expression

Adding Polynomials

Estimated Matrix Norm

Fitting by Polynomial

Gaussian Triangle Quadrature

Area of a Polygon

Derivative of Polynomial

Continuous Fractions (Matlab Style)

Polynomial Powers

Generate Random Orthogogonal Matrix

Infinite Integrals

Soft (Inexact) Line Search

Angle between two subspaces

Tridiagonal Linear System Solver

Savitzky-Golay Smoothing

Error Functions and Inverses (Matlab Style)

Euler-Heun ODE Solver

Toeplitz Matrix

Standard Deviation (Matlab Style)

Segment Intersection

Floating Point Relative Accuracy

Fibonacci Search

Sort Rows of a Matrix (Matlab Style)

Match regular expression

Distance Matrix

Easy Polar Plot

fletcher-powell

Davidon-Fletcher-Powell Method

Segment Distance

Matlab Test Functions

MATLAB timer functions

Adaptive Clenshaw-Curtis Quadrature

Trigonometric Approximation

Vector Field Plotting

Titanium Test Data

Whittaker Smoothing

Gauss-Laguerre Quadrature Formula

Golden Ratio Search

Discrete Gradient (Matlab Style)

Complex Root Finding

Inverse Permutation

Linearly Spaced Sequences

Nelder-Mead Minimization Method

Householder Reflections

Next Power of 2

Nonlinear Least-Squares Fitting

Peaks Function (Matlab Style)

geomean, harmmean

Geometric and Harmonic Mean (Matlab Style)

Muller's Method

Matlab backslash operator

Nonzero Elements

Gaussian Quadrature with Richardson Extrapolation

Create Random Matrices

Piecewise Polynomial Structures

Rectangle Intersection Areas

Adaptive Simpson Quadrature

Justify character vector

cot,csc,sec, etc.

More Trigonometric Functions

Matrix Rotation

Multiplying Polynomials

Practical Numerical Math Routines

Piecewise Polynomial Fit

Replicate Matrix

Converting string to number (Matlab style)

Sigmoid Function

Reduced Row Echelon Form

Format Distance Matrix (Matlab Style)

wilkinson Matrix

Parametric Curve Fit

Remove Linear Trends

Exponential and Logarithmic Integral

Find All Minima

Matrix Flipping (Matlab Style)

Numerically Evaluate Double and Triple Integrals

Linear Programming Solver

Laguerre's Method

Legendre Functions (Matlab Style)

Log-linearly Spaced Sequences

Lagrange and Newtons Interpolation

Moving Average Filters

Non-stiff ODE solvers

Define Polynomial by Roots

Anti-derivative of Polynomial

Evaluating a Polynomial

Polylogarithm Function

Random Permutation

Random Combination

Runge-Kutta-Fehlberg

Sorting Routines

String Concatenation

Triangular Matrices (Matlab Style)

Trigonometric Polynomial

Riemann Zeta Function

Vandermonde matrix

Trapezoidal Integration

Elementwise Function Application (Matlab Style)

Chebyshev Approximation

Matrix Condition

Companion Matrix

Minimum Finding

Jacobi Eigenvalue Method

Gauss-Legendre Quadrature Formula

Complex Gamma Function

Numerical Gradient

Geometric Median

Lebesgue Constant

Adaptive Numerical Integration

Linear Least-Squares Fitting

2-d Gaussian Quadrature

The Runs Test, or Wald-Wolfowitz Test

Find Substrings

Romberg Integration

Logical AND, OR (Matlab Style)

Utility functions (Matlab style)

Fitting a Circle

Chebyshev Polynomials

Degrees to Radians

Approximate and Sample Entropy

Double and Triple Integration

Dirichlet Eta Function

Factorial Function

Fresnel Integrals

Finding Function Minimum

Histogram Count (Matlab style)

Histogram Bin-width Optimization

Hausdorff Distance

Hypotenuse Function

Inverse Laplacian

isprime Property

Matlab Compatibility

Mode function (Matlab style)

Binomial Coefficients

Number of Dimensions

Nile overflow data

Solving the Procrustes Problem

Print Polynomial

Psi (Polygamma) Function

Adaptive Simpson Quadrature

Adaptive Lobatto Quadrature

semilogx,semilogy

Semi-logarithmic Plots (Matlab Style)

Double Simpson Integration

Monotone (Shape-Preserving) Interpolation

Find and replace substring

Matrix Square and p-th Roots

Remove leading and trailing white space.

String Comparison

Polynomial Roots

steepest_descent

Steepest Descent

Taylor Series Approximation