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pracma (version 1.2.5)

Practical Numerical Math Functions

Description

Implementations of functions in numerical analysis as R scripts, with a special view on on optimization and time series routines. Uses Matlab function names where appropriate to simplify porting.

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Version

Install

install.packages('pracma')

Monthly Downloads

108,124

Version

1.2.5

License

GPL (>= 3)

Maintainer

Last Published

November 8th, 2012

Functions in pracma (1.2.5)

Kronecker product (Matlab Style)

Complex Step Derivation

Dirichlet Eta Function

Complex Gamma Function

Discrete Gradient (Matlab Style)

Hadamard Matrix

Minimum Finding

Numerical Gradient

Distance Matrix

Lambert's W Function

K-means++ Clustering

Integer Division

Neville's Method

Nonzero Elements

Pascal Triangle

Hermitean Interpolation Polynomials

Multiplying Polynomials

Polynomial Powers

Infinite Integrals

Adaptive Simpson Quadrature

Gaussian Quadrature with Richardson Extrapolation

Adaptive Gauss-Kronrod Quadrature

Toeplitz Matrix

Rational Interpolation

Boxed Region Transformation

String Concatenation

Eigenvalue Function (Matlab Style)

Hooke-Jeeves Method

Andrews' Curves

String of Blank Carakters

Interpolating Cubic Spline

Univariate Global Optimization

Easy Function Plot

Evaluate ODE Solution

Numerical Differentiation

Laguerre's Method

Linearly Spaced Sequences

Generate a Mesh Grid

Log-linearly Spaced Sequences

Newton Method for Nonlinear Systems

Richardson's Numerical Derivative

Random Permutation

Replicate Matrix

Accuracy Measures

Angle between two subspaces

Titanium Test Data

Vandermonde matrix

Block Diagonal Matrix

Integer Functions (Matlab Style)

Chebyshev Polynomials

Whittaker Smoothing

Matrix Condition

Monotone (Shape-Preserving) Interpolation

fletcher-powell

Davidon-Fletcher-Powell Method

Givens Rotation

GCD and LCM Integer Functions

Histogram Count (Matlab style)

Trigonometric Polynomial

Jacobian Matrix

Matrix Inverse (Matlab Style)

Golden Ratio Search

Laplacian Operator

Moving Average Filters

Estimated Matrix Norm

Continuous Fractions (Matlab Style)

String Comparison

Fitting by Polynomial

Pade Approximation

Basic Complex Functions

Polynomial Convolution

Brownian Motion

Euler-Heun ODE Solver

Coordinate Transformations

Rootfinding Through Bisection

Matrix Diagonal

Control Plot Devices (Matlab Style)

n-dimensional Vector Cross Product

Vector Cross Product

find function (Matlab Style)

Find Cutting Points

Matrix Flipping (Matlab Style)

2-D Barycentric Lagrange Interpolation

Solve Boundary Value Problem

Plot Multivariate Function

Fitting a Circle

Barycentric Lagrange Interpolation

Chebyshev Approximation

Quiver or Velocity Plot

Characteristic Polynomial

Accumulate Vector Elements

Chebyshev Polynomials

Finding Function Minimum

Define Polynomial by Roots

Gauss-Legendre Quadrature Formula

Matlab Test Functions

Degrees to Radians

Elementwise Function Application (Matlab Style)

ezcontour,ezmesh

Contour and Mesh Plotter

Matrix Exponential

Some Basic Matrices

Utility functions (Matlab style)

Broyden's Method

Adams-Bashford-Moulton

Newton-Cotes Formulas

Brent-Dekker Root Finding Method

Event Detection in ODE solution

Error Functions and Inverses (Matlab Style)

Remove Linear Trends

Einstein Functions

Complex Root Finding

Clear function (Matlab style)

Find Interval Indices

Hausdorff Distance

Logical AND, OR (Matlab Style)

Factorial Function

Generate Combinations

Rootfinding through Newton-Raphson or Secant.

Lagrange and Newtons Interpolation

Householder Reflections

Gauss-Kronrod Quadrature

Companion Matrix

Muller's Method

clenshaw_curtis

Clenshaw-Curtis Quadrature Formula

Finite Difference Approximation (Fornberg's Method)

Gauss-Laguerre Quadrature Formula

Nonlinear Least-Squares Fitting

Nelder-Mead Minimization Method

Fibonacci Search

Plot Error Bars

Gauss-Hermite Quadrature Formula

Inverse Permutation

Gauss-Newton Function Minimization

Lebesgue Constant

isempty Property

Number of Elements

Inverse Fast Fourier Transformation

Next Power of 2

Adding Polynomials

Matlab backslash operator

Number of Dimensions

isprime Property

Kernel or Nullspace

One-dimensional Interpolation

Plotting Two y-Axes

Generate Permutations

Polar Coordinate Plot (Matlab Style)

Area of a Polygon

Piecewise Linear Function

Solve System of Nonlinear Equations

Find All Minima

Anti-derivative of Polynomial

Peaks Function (Matlab Style)

Match regular expression

Newton's Root Finding Method for Polynomials.

Find overlapping regular expression matches.

Create Random Matrices

Taylor Series Approximation

Replace string using regular expression

Random Combination

Plotting Crosses

Mode function (Matlab style)

Inverse Laplacian

Ridders' Method

Polynomial Approximation

Piecewise Polynomial Structures

Generate Random Orthogogonal Matrix

Vector Field Plotting

Polylogarithm Function

Hypotenuse Function

Polynomial Roots

Sigmoid Function

Practical Numerical Math Routines

Matrix Rotation

Runge-Kutta-Fehlberg

Justify character vector

Trigonometric Approximation

Pseudoinverse or Generalized Inverse

Remove leading and trailing white space.

Binomial Coefficients

Find Substrings

Segment Intersection

Sorting Routines

Optimization Test Function

Reduced Row Echelon Form

Segment Distance

Soft (Inexact) Line Search

Polynomial Transformation

Print Polynomial

Piecewise Polynomial Fit

Standard Deviation (Matlab Style)

Gaussian Triangle Quadrature

Evaluating a Polynomial

Double Simpson Integration

Adaptive Simpson Quadrature

Derivative of Polynomial

Classical Runge-Kutta

Adaptive Lobatto Quadrature

Crank-Nicolson Method

Savitzky-Golay Smoothing

Trapezoidal Integration

Triangular Matrices (Matlab Style)

MATLAB timer functions

Matrix Square and p-th Roots

Converting string to number (Matlab style)

Fresnel Integrals

Two-dimensional Data Interpolation

Find and replace substring

steepest_descent

Steepest Descent

Double Integration

Romberg Integration

Riemann Zeta Function

wilkinson Matrix

2-d Gaussian Quadrature

Approximate Entropy

Rational Function Approximation

Incomplete Gamma Function