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pracma (version 0.8.6)

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

83,928

Version

0.8.6

License

GPL (>= 3)

Maintainer

HwB

Last Published

November 22nd, 2011

Functions in pracma (0.8.6)

Accumulate Vector Elements

Minimum Finding

Double Integration

Easy Function Plot

Brent-Dekker Root Finding Method

Eigenvalue Function (Matlab Style)

n-dimensional Vector Cross Product

Chebyshev Polynomials

Evaluate ODE Solution

Companion Matrix

Find function (Matlab Style)

Complex Step Derivation

Chebyshev Approximation

Remove Linear Trends

Generate Permutations

Error Functions (Matlab Style)

Continous Fractions

Golden Ratio Search

Dirichlet Eta Function

Gaussian Quadrature with Richardson Extrapolation

Vector Cross Product

Matlab backslash operator

Numerical Differentiation

Kronecker product (Matlab Style)

clenshaw_curtis

Clenshaw-Curtis Quadrature Formula

Extended Euclidean Algorithm

String of Blank Carakters

Arithmetic-geometric Mean

Newton-Cotes Formulas

Polynomial Powers

Basic Complex Functions

Mode function (Matlab style)

Matrix Condition

Adams-Bashford-Moulton

Crank-Nicolson Method

Evaluating a Polynomial

Solve Boundary Value Problem

Eulers's Phi Function

Rational Function Approximation

Replace string using regular expression

Matrix Exponential

Number of Prime Factors

Find All Minima

Fitting a Circle

Discrete Gradient (Matlab Style)

Coordinate Transformations

Generate Combinations

Laguerre's Method

Neville's Method

Matrix Inverse (Matlab Style)

Rootfinding Through Bisection

Kernel or Nullspace

Hermitean Interpolation Polynomials

Number of Dimensions

GCD and LCM Integer Functions

Pascal Triangle

Minimum Finding

Find Interval Indices

Polynomial Convolution

Complex Root Finding

Gauss-Newton Function Minimization

Modular Inverse

Broyden's Method

String Concatenation

Matrix flipping

Gauss-Kronrod Quadrature

Characteristic Polynomial

Multiplying Polynomials

Richardson's Numerical Derivative

String Comparison

2-D Barycentric Lagrange Interpolation

Integer Functions (Matlab Style)

Anti-derivative of Polynomial

Block Diagonal Matrix

isprime Property

Rootfinding through Newton-Raphson or Secant.

Power Function modulo m

Fresnel Integrals

Fresnel Integrals

Polynomial Transformation

Inverse Fast Fourier Transformation

Two-dimensional Data Interpolation

isempty Property

Beep function (Matlab style)

Ridder's Method

Logical AND, OR (Matlab Style)

Generate a Mesh Grid

Fitting by Polynomial

Matrix Rotation

Barycentric Lagrange Interpolation

Numerical Gradient

Complex Gamma Function

Newton's Root Finding Method for Polynomials.

Adaptive Gauss-Kronrod Quadrature

Moebius Function

Lebesgue Constant

Chebyshev Polynomials

Next Power of 2

Sigmoid Function

Integer Division

Event Detection in ODE solution

One-dimensional Interpolation

Pade Approximation

Linearly Spaced Sequences

Matrix Diagonal

Clear function (Matlab style)

Fibonacci Search

Laplacian Operator

Lagrange and Newtons Interpolation

Factorial Function

Remove leading and trailing white space.

Adding Polynomials

Muller's Method

Einstein Functions

Hypothenuse Function

Gauss-Hermite Quadrature Formula

Random Combination

Triangular Matrices (Matlab Style)

Lambert's W Function

Some Basic Matrices

Continuous Fractions (Matlab Style)

Pseudoinverse or Generalized Inverse

Distance Matrix

Piecewise Linear Function

Binomial Coefficients

Number of Elements

Generate Random Orthogogonal Matrix

Angle between two subspaces

Jacobian Matrix

Gaussian Triangle Quadrature

Area of a Polygon

Polynomial Approximation

Find and replace substring

Random Permutation

Create Random Matrices

Titanium Test Data

Justify character vector

Estimated Matrix Norm

Practical Numerical Math Routines

Accuracy Measures

Derivative of Polynomial

Vector Field Plotting

Matlab Test Functions

Match regular expression

Log-linearly Spaced Sequences

Divisor Functions

Savitzky-Golay Smoothing

Romberg Integration

Polynomial Roots

Classical Runge-Kutta

Newton Method for Nonlinear Systems

Segment Distance

2-d Gaussian Quadrature

Solve System of Nonlinear Equations

Adaptive Simpson Quadrature

Runge-Kutta-Fehlberg

Gauss-Laguerre Quadrature Formula

Infinite Integrals

Trigonometric Approximation

Adaptive Lobatto Quadrature

Riemann Zeta Function

Random Points in Unit Circle (Matlab Style)

Print Polynomial

Gauss-Legendre Quadrature Formula

Rational Interpolation

Adaptive Simpson Quadrature

Quiver or Velocity Plot

Sorting Routines

Find overlapping regular expression matches.

Replicate Matrix

Vandermonde matrix

Matrix Square and p-th Roots

Segment Intersection

Trigonometric Polynomial

Hadamard Matrix

Soft (Inexact) Line Search

Define Polynomial by Roots

Standard Deviation (Matlab Style)

Taylor Series Approximation

Double Simpson Integration

Monotone (Shape-Preserving) Interpolation

Trapezoidal Integration

Find Substrings

Toeplitz Matrix

Wilkinson Matrix