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pracma (version 1.1.6)

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/Octave function names where appropriate to simplify porting.

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Version

Install

install.packages('pracma')

Monthly Downloads

108,124

Version

1.1.6

License

GPL (>= 3)

Maintainer

Last Published

July 20th, 2012

Functions in pracma (1.1.6)

Triangular Matrices (Matlab Style)

Gaussian Triangle Quadrature

Trigonometric Polynomial

Toeplitz Matrix

Trigonometric Approximation

Riemann Zeta Function

Vandermonde matrix

Trapezoidal Integration

Whittaker Smoothing

Wilkinson Matrix

Vector Field Plotting

Boxed Region Transformation

Double Simpson Integration

Fitting a Circle

Distance Matrix

Sorting Routines

Find Cutting Points

Continous Fractions

Characteristic Polynomial

Vector Cross Product

Plot Multivariate Function

Barycentric Lagrange Interpolation

Control Plot Devices (Matlab Style)

Adams-Bashford-Moulton

clenshaw_curtis

Clenshaw-Curtis Quadrature Formula

Brownian Motion

Crank-Nicolson Method

Logical AND, OR (Matlab Style)

Companion Matrix

Chebyshev Polynomials

Golden Ratio Search

Factorial Function

Eigenvalue Function (Matlab Style)

fletcher-powell

Davidon-Fletcher-Powell Method

Approximate Entropy

Interpolating Cubic Spline

Integer Functions (Matlab Style)

Broyden's Method

2-D Barycentric Lagrange Interpolation

Matrix Inverse (Matlab Style)

Gauss-Newton Function Minimization

Utility functions (Matlab style)

String of Blank Carakters

Accumulate Vector Elements

Matrix Condition

Complex Step Derivation

Gauss-Kronrod Quadrature

Numerical Differentiation

Hadamard Matrix

Matrix Flipping (Matlab Style)

Degrees to Radians

Chebyshev Polynomials

Kronecker product (Matlab Style)

Univariate Global Optimization

Numerical Gradient

Inverse Permutation

Matrix Exponential

Solve Boundary Value Problem

Event Detection in ODE solution

Extended Euclidean Algorithm

Some Basic Matrices

find function (Matlab Style)

Nonlinear Least-Squares Fitting

Newton-Cotes Formulas

Hypotenuse Function

Chebyshev Approximation

Gauss-Laguerre Quadrature Formula

Complex Gamma Function

Remove Linear Trends

Andrews' Curves

isprime Property

Find Interval Indices

GCD and LCM Integer Functions

Brent-Dekker Root Finding Method

Error Functions and Inverses (Matlab Style)

Basic Complex Functions

Arithmetic-geometric Mean

Rootfinding through Newton-Raphson or Secant.

Adding Polynomials

n-dimensional Vector Cross Product

Double Integration

Polynomial Convolution

Eulers's Phi Function

Block Diagonal Matrix

Dirichlet Eta Function

Find All Minima

Plot Error Bars

Coordinate Transformations

Generate Combinations

Rootfinding Through Bisection

Minimum Finding

Clear function (Matlab style)

Fibonacci Search

Gauss-Legendre Quadrature Formula

K-means++ Clustering

Matlab backslash operator

Romberg Integration

Power Function modulo m

Log-linearly Spaced Sequences

One-dimensional Interpolation

Kernel or Nullspace

Polynomial Transformation

Easy Function Plot

Evaluate ODE Solution

Incomplete Gamma Function

Number of Prime Factors

Finding Function Minimum

Matrix Diagonal

Einstein Functions

Modular Linear Equation Solver

Moving Average Filters

Nelder-Mead Minimization Method

Segment Distance

Next Power of 2

Derivative of Polynomial

Newton's Root Finding Method for Polynomials.

Fresnel Integrals

Fresnel Integrals

Nonzero Elements

Finite Difference Approximation (Fornberg's Method)

Pade Approximation

Givens Rotation

Solve System of Nonlinear Equations

Replicate Matrix

Polynomial Approximation

Gauss-Hermite Quadrature Formula

Generate Permutations

Muller's Method

Inverse Fast Fourier Transformation

Polar Coordinate Plot (Matlab Style)

Justify character vector

Generate a Mesh Grid

Estimated Matrix Norm

Pascal Triangle

Find and replace substring

Linearly Spaced Sequences

Neville's Method

Jacobian Matrix

Newton Method for Nonlinear Systems

Number of Dimensions

Rational Interpolation

Replace string using regular expression

Peaks Function (Matlab Style)

Anti-derivative of Polynomial

Householder Reflections

Divisor Functions

Piecewise Polynomial Structures

Segment Intersection

Adaptive Simpson Quadrature

Lambert's W Function

Complex Root Finding

Matrix Square and p-th Roots

Discrete Gradient (Matlab Style)

Define Polynomial by Roots

String Concatenation

Laguerre's Method

Integer Division

Number of Elements

Polylogarithm Function

Laplacian Operator

Polynomial Powers

Random Permutation

Hausdorff Distance

Matlab Test Functions

Hermitean Interpolation Polynomials

Hooke-Jeeves Method

Richardson's Numerical Derivative

Rational Function Approximation

Inverse Laplacian

2-d Gaussian Quadrature

Gaussian Quadrature with Richardson Extrapolation

Two-dimensional Data Interpolation

Find overlapping regular expression matches.

isempty Property

Classical Runge-Kutta

Mode function (Matlab style)

Accuracy Measures

Binomial Coefficients

Steepest Descent

Steepest Descent

Modular Inverse

Polynomial Roots

Adaptive Lobatto Quadrature

Piecewise Polynomial Fit

Create Random Matrices

Continuous Fractions (Matlab Style)

Lebesgue Constant

Soft (Inexact) Line Search

Plotting Crosses

Quiver or Velocity Plot

Reduced Row Echelon Form

Ridders' Method

Moebius Function

Evaluating a Polynomial

Savitzky-Golay Smoothing

Fitting by Polynomial

Lagrange and Newtons Interpolation

Pseudoinverse or Generalized Inverse

Plotting Two y-Axes

Find Substrings

Practical Numerical Math Routines

Angle between two subspaces

Standard Deviation (Matlab Style)

Infinite Integrals

Adaptive Simpson Quadrature

Sigmoid Function

Piecewise Linear Function

Area of a Polygon

Monotone (Shape-Preserving) Interpolation

Taylor Series Approximation

Random Combination

Multiplying Polynomials

Print Polynomial

Runge-Kutta-Fehlberg

String Comparison

Titanium Test Data

Adaptive Gauss-Kronrod Quadrature

Remove leading and trailing white space.

Match regular expression

Optimization Test Function

Generate Random Orthogogonal Matrix

Matrix Rotation

MATLAB timer functions