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pracma (version 1.0.5)

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/Octave function names where appropriate to simplify porting.

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Version

Install

install.packages('pracma')

Monthly Downloads

88,346

Version

1.0.5

License

GPL (>= 3)

Maintainer

HwB

Last Published

April 19th, 2012

Functions in pracma (1.0.5)

Andrews' Curves

2-D Barycentric Lagrange Interpolation

Clear function (Matlab style)

Block Diagonal Matrix

Degrees to Radians

Matlab Test Functions

Hausdorff Distance

Lambert's W Function

Matlab backslash operator

Newton's Root Finding Method for Polynomials.

Piecewise Linear Function

Pascal Triangle

Pseudoinverse or Generalized Inverse

Print Polynomial

Multiplying Polynomials

Replicate Matrix

Classical Runge-Kutta

Polynomial Roots

Segment Intersection

Standard Deviation (Matlab Style)

GCD and LCM Integer Functions

Basic Complex Functions

Integer Functions (Matlab Style)

Characteristic Polynomial

Plot Error Bars

Factorial Function

Fresnel Integrals

Fresnel Integrals

Interpolating Cubic Spline

Gauss-Newton Function Minimization

isempty Property

Mode function (Matlab style)

Binomial Coefficients

Matrix Diagonal

Pade Approximation

Hermitean Interpolation Polynomials

Richardson's Numerical Derivative

Piecewise Polynomial Fit

2-d Gaussian Quadrature

Replace string using regular expression

Romberg Integration

Divisor Functions

Soft (Inexact) Line Search

Monotone (Shape-Preserving) Interpolation

Vandermonde matrix

String of Blank Carakters

Chebyshev Polynomials

n-dimensional Vector Cross Product

Gauss-Laguerre Quadrature Formula

Givens Rotation

Matrix Flipping (Matlab Style)

isprime Property

Linearly Spaced Sequences

Next Power of 2

Define Polynomial by Roots

Polynomial Transformation

Rational Interpolation

Area of a Polygon

Matrix Rotation

Matrix Square and p-th Roots

Find Substrings

Find and replace substring

Triangular Matrices (Matlab Style)

Estimated Matrix Norm

Accumulate Vector Elements

Double Integration

Minimum Finding

Plot Multivariate Function

Solve System of Nonlinear Equations

Complex Gamma Function

Golden Ratio Search

Inverse Permutation

Plotting Crosses

Piecewise Polynomial Structures

Practical Numerical Math Routines

Adaptive Simpson Quadrature

Angle between two subspaces

Taylor Series Approximation

Rootfinding Through Bisection

Generate Combinations

Polynomial Convolution

Distance Matrix

Dirichlet Eta Function

Control Plot Devices (Matlab Style)

Find function (Matlab Style)

Lebesgue Constant

Matrix Inverse (Matlab Style)

Modular Inverse

Moebius Function

Lagrange and Newtons Interpolation

Plotting Two y-Axes

Fitting by Polynomial

Anti-derivative of Polynomial

Derivative of Polynomial

Gaussian Quadrature with Richardson Extrapolation

Random Permutation

Rational Function Approximation

Infinite Integrals

Ridder's Method

Runge-Kutta-Fehlberg

Generate Random Orthogogonal Matrix

Sorting Routines

MATLAB timer functions

Riemann Zeta Function

Logical AND, OR (Matlab Style)

Solve Boundary Value Problem

Fitting a Circle

Error Functions and Inverses (Matlab Style)

Event Detection in ODE solution

Newton-Cotes Formulas

Find Cutting Points

Minimum Finding

Gauss-Hermite Quadrature Formula

Complex Root Finding

One-dimensional Interpolation

Inverse Laplacian

Peaks Function (Matlab Style)

Adaptive Gauss-Kronrod Quadrature

Nonzero Elements

Savitzky-Golay Smoothing

String Concatenation

Toeplitz Matrix

Trigonometric Polynomial

Gaussian Triangle Quadrature

Arithmetic-geometric Mean

Adams-Bashford-Moulton

Approximate Entropy

Barycentric Lagrange Interpolation

Beep function (Matlab style)

Chebyshev Approximation

Broyden's Method

Coordinate Transformations

Brent-Dekker Root Finding Method

Continous Fractions

Matrix Condition

Chebyshev Polynomials

Complex Step Derivation

Crank-Nicolson Method

Companion Matrix

Remove Linear Trends

Vector Cross Product

Univariate Global Optimization

Einstein Functions

clenshaw_curtis

Clenshaw-Curtis Quadrature Formula

Evaluate ODE Solution

Easy Function Plot

Eigenvalue Function (Matlab Style)

Extended Euclidean Algorithm

Eulers's Phi Function

Some Basic Matrices

Matrix Exponential

Numerical Differentiation

Find Interval Indices

Find All Minima

Discrete Gradient (Matlab Style)

Gauss-Legendre Quadrature Formula

Gauss-Kronrod Quadrature

Numerical Gradient

Fibonacci Search

Hadamard Matrix

Two-dimensional Data Interpolation

Inverse Fast Fourier Transformation

Householder Reflections

Jacobian Matrix

K-means++ Clustering

Kronecker product (Matlab Style)

Laplacian Operator

Log-linearly Spaced Sequences

Power Function modulo m

Generate a Mesh Grid

Integer Division

Muller's Method

Neville's Method

Number of Dimensions

Kernel or Nullspace

Number of Elements

Newton Method for Nonlinear Systems

Laguerre's Method

Number of Prime Factors

Rootfinding through Newton-Raphson or Secant.

Generate Permutations

Polynomial Powers

Adding Polynomials

Polynomial Approximation

Evaluating a Polynomial

Hypotenuse Function

Polar Coordinate Plot (Matlab Style)

Create Random Matrices

Random Combination

Find overlapping regular expression matches.

Sigmoid Function

Quiver or Velocity Plot

Continuous Fractions (Matlab Style)

Accuracy Measures

String Comparison

Adaptive Lobatto Quadrature

Match regular expression

Segment Distance

Reduced Row Echelon Form

Adaptive Simpson Quadrature

Double Simpson Integration

Remove leading and trailing white space.

Trigonometric Approximation

Vector Field Plotting

Titanium Test Data

Justify character vector

Whittaker Smoothing

Trapezoidal Integration

Wilkinson Matrix