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pracma (version 0.8.1)

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

88,346

Version

0.8.1

License

GPL (>= 3)

Maintainer

HwB

Last Published

November 2nd, 2011

Functions in pracma (0.8.1)

Fitting a Circle

GCD and LCM Integer Functions

Arithmetic-geometric Mean

Barycentric Lagrange Interpolation

Broyden's Method

Vector Cross Product

Discrete Gradient (Matlab Style)

Matrix Condition

Clear function (Matlab style)

Extended Euclidean Algorithm

Kernel or Nullspace

Beep function (Matlab style)

Matrix Exponential

Solve Boundary Value Problem

Newton-Cotes Formulas

Integer Division

Neville's Method

Continous Fractions

clenshaw_curtis

Clenshaw-Curtis Quadrature Formula

Mode function (Matlab style)

Some Basic Matrices

Characteristic Polynomial

Fresnel Integrals

Fresnel Integrals

Generate a Mesh Grid

Gauss-Legendre Quadrature Formula

Adams-Bashford-Moulton

Newton's Root Finding Method for Polynomials.

Distance Matrix

Evaluate ODE Solution

Minimum Finding

Easy Function Plot

Companion Matrix

Factorial Function

2-d Gaussian Quadrature

Adaptive Gauss-Kronrod Quadrature

Adaptive Lobatto Quadrature

Number of Prime Factors

Runge-Kutta-Fehlberg

Dirichlet Eta Function

Number of Dimensions

Polynomial Powers

String Comparison

Find function (Matlab Style)

Hypothenuse Function

Eigenvalue Function (Matlab Style)

Laplacian Operator

Kronecker product (Matlab Style)

Anti-derivative of Polynomial

Laguerre's Method

Print Polynomial

Derivative of Polynomial

Segment Distance

Gaussian Quadrature with Richardson Extrapolation

Justify character vector

Brent-Dekker Root Finding Method

Quiver or Velocity Plot

Gauss-Kronrod Quadrature

Gauss-Laguerre Quadrature Formula

Log-linearly Spaced Sequences

Rootfinding Through Bisection

Random Permutation

Rootfinding through Newton-Raphson or Secant.

Continuous Fractions (Matlab Style)

Generate Permutations

Pascal Triangle

Fitting by Polynomial

Modular Inverse

Replicate Matrix

Savitzky-Golay Smoothing

Pseudoinverse or Generalized Inverse

Lebesgue Constant

Einstein Functions

Random Combination

Adding Polynomials

Fibonacci Search

Logical AND, OR (Matlab Style)

Basic Complex Functions

Rational Function Approximation

isempty Property

Soft (Inexact) Line Search

Gauss-Hermite Quadrature Formula

Two-dimensional Data Interpolation

Integer Functions (Matlab Style)

Replace string using regular expression

Monotone (Shape-Preserving) Interpolation

Matrix Diagonal

Area of a Polygon

Lambert's W Function

Chebyshev Polynomials

Number of Elements

Numerical Gradient

String of Blank Carakters

Complex Step Derivation

Muller's Method

Chebyshev Polynomials

Binomial Coefficients

Angle between two subspaces

Event Detection in ODE solution

Piecewise Linear Function

n-dimensional Vector Cross Product

Minimum Finding

Matlab Test Functions

Pade Approximation

Classical Runge-Kutta

Hadamard Matrix

Standard Deviation (Matlab Style)

Hermitean Interpolation Polynomials

String Concatenation

Golden Ratio Search

Generate Combinations

Error Functions (Matlab Style)

Block Diagonal Matrix

Next Power of 2

Linearly Spaced Sequences

Adaptive Simpson Quadrature

Practical Numerical Math Routines

Moebius Function

Polynomial Convolution

Chebyshev Approximation

2-D Barycentric Lagrange Interpolation

Eulers's Phi Function

Remove leading and trailing white space.

Evaluating a Polynomial

Sorting Routines

Polynomial Approximation

Matrix flipping

Sigmoid Function

Find All Minima

Find and replace substring

Double Simpson Integration

Riemann Zeta Function

Matrix Inverse (Matlab Style)

Divisor Functions

Numerical Differentiation

Infinite Integrals

Complex Gamma Function

Define Polynomial by Roots

Rational Interpolation

Solve System of Nonlinear Equations

Polynomial Roots

Inverse Fast Fourier Transformation

One-dimensional Interpolation

Find Substrings

Estimated Matrix Norm

Wilkinson Matrix

Matrix Rotation

Trapezoidal Integration

Trigonometric Approximation

Taylor Series Approximation

Vandermonde matrix

Match regular expression

Double Integration

isprime Property

Gauss-Newton Function Minimization

Accuracy Measures

Trigonometric Polynomial

Remove Linear Trends

Multiplying Polynomials

Find Interval Indices

Titanium Test Data

Matlab backslash operator

Complex Root Finding

Newton Method for Nonlinear Systems

Create Random Matrices

Romberg Integration

Adaptive Simpson Quadrature

Richardson's Numerical Derivative

Jacobian Matrix

Find overlapping regular expression matches.

Power Function modulo m

Toeplitz Matrix

Lagrange and Newtons Interpolation

Segment Intersection

Vector Field Plotting

Polynomial Transformation

Gaussian Triangle Quadrature

Triangular Matrices (Matlab Style)

Generate Random Orthogogonal Matrix