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pracma (version 0.9.6)

Practical Numerical Math Functions

Description

This package provides R implementations of functions in numerical analysis, 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

84,591

Version

0.9.6

License

GPL (>= 3)

Maintainer

HwB

Last Published

January 26th, 2012

Functions in pracma (0.9.6)

Chebyshev Approximation

Matrix Condition

Univariate Global Optimization

Some Basic Matrices

Remove Linear Trends

Fresnel Integrals

Fresnel Integrals

Gauss-Newton Function Minimization

Matrix Diagonal

Neville's Method

Newton Method for Nonlinear Systems

Estimated Matrix Norm

Kernel or Nullspace

Richardson's Numerical Derivative

Generate Random Orthogogonal Matrix

Barycentric Lagrange Interpolation

Basic Complex Functions

GCD and LCM Integer Functions

Dirichlet Eta Function

Approximate Entropy

n-dimensional Vector Cross Product

Fibonacci Search

Minimum Finding

Solve System of Nonlinear Equations

Muller's Method

Rootfinding through Newton-Raphson or Secant.

Jacobian Matrix

Pascal Triangle

Random Permutation

Plotting Two y-Axes

Classical Runge-Kutta

Riemann Zeta Function

String Comparison

Justify character vector

Double Simpson Integration

Whittaker Smoothing

Accumulate Vector Elements

Davies-Swann-Campey Search

Complex Step Derivation

Broyden's Method

Chebyshev Polynomials

Continous Fractions

Find All Minima

Power Function modulo m

K-means++ Clustering

Complex Root Finding

Pade Approximation

Fitting by Polynomial

Area of a Polygon

Polynomial Powers

Number of Prime Factors

Replicate Matrix

Adaptive Gauss-Kronrod Quadrature

Remove leading and trailing white space.

Vector Field Plotting

Create Random Matrices

Gaussian Triangle Quadrature

Integer Functions (Matlab Style)

Error Functions (Matlab Style)

Numerical Differentiation

Easy Function Plot

Arithmetic-geometric Mean

Andrews' Curves

2-D Barycentric Lagrange Interpolation

String of Blank Carakters

Distance Matrix

Extended Euclidean Algorithm

Minimum Finding

Eigenvalue Function (Matlab Style)

Matrix Inverse (Matlab Style)

isprime Property

Newton's Root Finding Method for Polynomials.

Monotone (Shape-Preserving) Interpolation

Standard Deviation (Matlab Style)

Triangular Matrices (Matlab Style)

Quiver or Velocity Plot

Gauss-Hermite Quadrature Formula

Matrix Square and p-th Roots

Logical AND, OR (Matlab Style)

Rootfinding Through Bisection

Beep function (Matlab style)

Solve Boundary Value Problem

Polynomial Convolution

Double Integration

Gauss-Laguerre Quadrature Formula

Numerical Gradient

Golden Ratio Search

Hausdorff Distance

Log-linearly Spaced Sequences

Binomial Coefficients

Adams-Bashford-Moulton

Lagrange and Newtons Interpolation

Coordinate Transformations

Characteristic Polynomial

Fitting a Circle

Plotting Crosses

Polynomial Approximation

Clear function (Matlab style)

Derivative of Polynomial

Pseudoinverse or Generalized Inverse

Multiplying Polynomials

Eulers's Phi Function

Event Detection in ODE solution

Infinite Integrals

Savitzky-Golay Smoothing

Divisor Functions

Ridder's Method

Find and replace substring

Trigonometric Approximation

Vandermonde matrix

Complex Gamma Function

Wilkinson Matrix

Discrete Gradient (Matlab Style)

Two-dimensional Data Interpolation

Inverse Fast Fourier Transformation

Sorting Routines

Laplacian Operator

Integer Division

Number of Dimensions

isempty Property

Evaluating a Polynomial

Anti-derivative of Polynomial

Practical Numerical Math Routines

Rational Interpolation

Find Substrings

Matrix Rotation

String Concatenation

Block Diagonal Matrix

clenshaw_curtis

Clenshaw-Curtis Quadrature Formula

Chebyshev Polynomials

Companion Matrix

Crank-Nicolson Method

Einstein Functions

Factorial Function

Find Interval Indices

Gauss-Legendre Quadrature Formula

Matlab Test Functions

Interval Functions

Laguerre's Method

Kronecker product (Matlab Style)

Matlab backslash operator

Moebius Function

Mode function (Matlab style)

Generate Permutations

Polar Coordinate Plot (Matlab Style)

Adding Polynomials

Random Combination

Adaptive Lobatto Quadrature

Polynomial Roots

Segment Intersection

Trigonometric Polynomial

Taylor Series Approximation

Toeplitz Matrix

Runge-Kutta-Fehlberg

Brent-Dekker Root Finding Method

Newton-Cotes Formulas

Vector Cross Product

Evaluate ODE Solution

Plot Error Bars

Matrix Exponential

Control Plot Devices (Matlab Style)

Gauss-Kronrod Quadrature

Hypothenuse Function

Linearly Spaced Sequences

Generate a Mesh Grid

Nonzero Elements

Number of Elements

Define Polynomial by Roots

Print Polynomial

Polynomial Transformation

Gaussian Quadrature with Richardson Extrapolation

Adaptive Simpson Quadrature

Find overlapping regular expression matches.

Rational Function Approximation

Reduced Row Echelon Form

Sigmoid Function

Match regular expression

Segment Distance

Adaptive Simpson Quadrature

Soft (Inexact) Line Search

Titanium Test Data

Angle between two subspaces

Generate Combinations

Degrees to Radians

Find Cutting Points

Matrix Flipping (Matlab Style)

Find function (Matlab Style)

Plot Multivariate Function

Hadamard Matrix

One-dimensional Interpolation

Lambert's W Function

Lebesgue Constant

Modular Inverse

Next Power of 2

Hermitean Interpolation Polynomials

2-d Gaussian Quadrature

Continuous Fractions (Matlab Style)

Replace string using regular expression

Piecewise Linear Function

Accuracy Measures

Romberg Integration

Trapezoidal Integration