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pracma (version 0.9.1)

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

98,806

Version

0.9.1

License

GPL (>= 3)

Maintainer

HwB

Last Published

December 16th, 2011

Functions in pracma (0.9.1)

Rootfinding Through Bisection

Continous Fractions

Event Detection in ODE solution

Vector Cross Product

Remove Linear Trends

Matrix Exponential

Gauss-Legendre Quadrature Formula

Matrix flipping

Laplacian Operator

Matrix Diagonal

Hausdorff Distance

Richardson's Numerical Derivative

Number of Elements

Next Power of 2

Generate Permutations

Pascal Triangle

Infinite Integrals

Hermitean Interpolation Polynomials

Practical Numerical Math Routines

2-d Gaussian Quadrature

GCD and LCM Integer Functions

Arithmetic-geometric Mean

Broyden's Method

Accumulate Vector Elements

Complex Step Derivation

Numerical Differentiation

Matlab backslash operator

Newton Method for Nonlinear Systems

Double Simpson Integration

Area of a Polygon

Define Polynomial by Roots

Derivative of Polynomial

Anti-derivative of Polynomial

Barycentric Lagrange Interpolation

Generate Combinations

n-dimensional Vector Cross Product

Crank-Nicolson Method

Distance Matrix

Eulers's Phi Function

Minimum Finding

Complex Gamma Function

Discrete Gradient (Matlab Style)

Gauss-Kronrod Quadrature

Numerical Gradient

Chebyshev Polynomials

Double Integration

Matrix Inverse (Matlab Style)

Error Functions (Matlab Style)

Lebesgue Constant

Einstein Functions

Lambert's W Function

Easy Function Plot

Laguerre's Method

Extended Euclidean Algorithm

Integer Division

Muller's Method

Modular Inverse

Neville's Method

Gauss-Hermite Quadrature Formula

Multiplying Polynomials

Matlab Test Functions

Print Polynomial

Kronecker product (Matlab Style)

Adaptive Simpson Quadrature

Binomial Coefficients

Adaptive Gauss-Kronrod Quadrature

Random Permutation

Plotting Two y-Axes

Segment Distance

Plotting Crosses

Sorting Routines

Polar Coordinate Plot (Matlab Style)

Divisor Functions

Adaptive Lobatto Quadrature

Gaussian Quadrature with Richardson Extrapolation

Soft (Inexact) Line Search

Rational Interpolation

Random Combination

Pseudoinverse or Generalized Inverse

Polynomial Roots

Rational Function Approximation

Sigmoid Function

Find Substrings

Monotone (Shape-Preserving) Interpolation

Wilkinson Matrix

Matrix Rotation

Fitting by Polynomial

Polynomial Transformation

Matrix Square and p-th Roots

Toeplitz Matrix

Find and replace substring

Titanium Test Data

Angle between two subspaces

String Concatenation

Find overlapping regular expression matches.

Continuous Fractions (Matlab Style)

Brent-Dekker Root Finding Method

Characteristic Polynomial

Coordinate Transformations

Chebyshev Polynomials

Companion Matrix

Degrees to Radians

Some Basic Matrices

Fresnel Integrals

Fresnel Integrals

Factorial Function

Control Plot Devices (Matlab Style)

Fibonacci Search

Complex Root Finding

Hadamard Matrix

isempty Property

Inverse Fast Fourier Transformation

Log-linearly Spaced Sequences

Estimated Matrix Norm

Accuracy Measures

Romberg Integration

Ridder's Method

Standard Deviation (Matlab Style)

String Comparison

Trapezoidal Integration

Trigonometric Polynomial

Trigonometric Approximation

Vandermonde matrix

Whittaker Smoothing

Adams-Bashford-Moulton

Basic Complex Functions

Logical AND, OR (Matlab Style)

2-D Barycentric Lagrange Interpolation

Solve Boundary Value Problem

Polynomial Convolution

Matrix Condition

Integer Functions (Matlab Style)

Plot Error Bars

Find Interval Indices

Plot Multivariate Function

Dirichlet Eta Function

Golden Ratio Search

Hypothenuse Function

Linearly Spaced Sequences

isprime Property

Generate a Mesh Grid

Power Function modulo m

Number of Dimensions

Lagrange and Newtons Interpolation

Newton's Root Finding Method for Polynomials.

Rootfinding through Newton-Raphson or Secant.

Nonzero Elements

Kernel or Nullspace

Polynomial Powers

Polynomial Approximation

Adding Polynomials

Pade Approximation

Replicate Matrix

Evaluating a Polynomial

Runge-Kutta-Fehlberg

Classical Runge-Kutta

Generate Random Orthogogonal Matrix

Replace string using regular expression

Adaptive Simpson Quadrature

Justify character vector

Reduced Row Echelon Form

Gaussian Triangle Quadrature

Taylor Series Approximation

Block Diagonal Matrix

Andrews' Curves

Beep function (Matlab style)

String of Blank Carakters

Chebyshev Approximation

clenshaw_curtis

Clenshaw-Curtis Quadrature Formula

Clear function (Matlab style)

Fitting a Circle

Newton-Cotes Formulas

Find Cutting Points

Evaluate ODE Solution

Eigenvalue Function (Matlab Style)

Minimum Finding

Find function (Matlab Style)

Find All Minima

Gauss-Laguerre Quadrature Formula

Gauss-Newton Function Minimization

Solve System of Nonlinear Equations

One-dimensional Interpolation

Two-dimensional Data Interpolation

Jacobian Matrix

Mode function (Matlab style)

Number of Prime Factors

Moebius Function

Piecewise Linear Function

Quiver or Velocity Plot

Savitzky-Golay Smoothing

Create Random Matrices

Segment Intersection

Match regular expression

Remove leading and trailing white space.

Vector Field Plotting

Triangular Matrices (Matlab Style)

Riemann Zeta Function