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pracma (version 0.7.5)

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

0.7.5

License

GPL (>= 3)

Maintainer

HwB

Last Published

July 27th, 2011

Functions in pracma (0.7.5)

Block Diagonal Matrix

Inverse Fast Fourier Transformation

Number of Elements

Fitting by Polynomial

Fibonacci Search

Matrix flipping

Arithmetic-geometric Mean

Matrix Condition

Eigenvalue Function (Matlab Style)

Vector Cross Product

Hypothenuse Function

Fitting a Circle

Gauss-Hermite Quadrature Formula

Factorial Function

Brent-Dekker Root Finding Method

Complex Step Derivation

Derivative of Polynomial

Gauss-Legendre Quadrature Formula

Integer Functions (Matlab Style)

Create Random Matrices

Basic Complex Functions

String of Blank Carakters

Adaptive Simpson Quadrature

Polynomial Approximation

Newton Method for Nonlinear Systems

Chebyshev Approximation

Companion Matrix

String Comparison

Anti-derivative of Polynomial

Polynomial Convolution

Divisor Functions

GCD and LCM Integer Functions

Logical AND, OR (Matlab Style)

Double Integration

Matlab Test Functions

n-dimensional Vector Cross Product

Laplacian Operator

Extended Euclidean Algorithm

Angle between two subspaces

Newton's Root Finding Method for Polynomials.

Chebyshev Polynomials

Hadamard Matrix

Integer Division

Beep function (Matlab style)

Minimum Finding

Number of Prime Factors

Pascal Triangle

Matrix Exponential

Binomial Coefficients

Quiver or Velocity Plot

Gaussian Quadrature with Richardson Extrapolation

Broyden's Method

Adaptive Lobatto Quadrature

Fresnel Integrals

Fresnel Integrals

Barycentric Lagrange Interpolation

Continous Fractions

Chebyshev Polynomials

Generate a Mesh Grid

Laguerre's Method

Adaptive Gauss-Kronrod Quadrature

Some Basic Matrices

Discrete Gradient (Matlab Style)

isprime Property

Rational Function Approximation

Match regular expression

Clear function (Matlab style)

Generate Combinations

2-D Barycentric Lagrange Interpolation

Wilkinson Matrix

Adams-Bashford-Moulton

Error Functions (Matlab Style)

Practical Numerical Math Routines

Event Detection in ODE solution

Matrix Inverse (Matlab Style)

Polynomial Powers

Random Permutation

Adaptive Simpson Quadrature

Solve System of Nonlinear Equations

Lambert's W Function

Rootfinding through Bisection

Evaluate ODE Solution

Gauss-Kronrod Quadrature

Einstein Functions

Sorting Routines

Neville's Method

Newton-Cotes Formulas

Polynomial Transformation

String Concatenation

Jacobian Matrix

Find function (Matlab Style)

2-d Gaussian Quadrature

Find Substrings

Riemann Zeta Function

Classical Runge-Kutta

Random Combination

Dirichlet Eta Function

clenshaw_curtis

Clenshaw-Curtis Quadrature Formula

Accuracy Measures

Number of Dimensions

Distance Matrix

Numerical Differentiation

Toeplitz Matrix

Golden Ratio Search

Find Interval Indices

Characteristic Polynomial

Polynomial Roots

Power Function modulo m

Linearly Spaced Sequences

Estimated Matrix Norm

Hermitean Interpolation Polynomials

Savitzky-Golay Smoothing

Multiplying Polynomials

Evaluating a Polynomial

Numerical Gradient

Trapezoidal Integration

Sigmoid Function

Triangular Matrices (Matlab Style)

Continuous Fractions (Matlab Style)

Remove Linear Trends

Segment Intersection

Find All Minima

Mode function (Matlab style)

Define Polynomial by Roots

Replace string using regular expression

Generate Permutations

Romberg Integration

Easy Function Plot

Vector Field Plotting

Minimum Finding

Muller's Method

One-dimensional Interpolation

Lebesgue Constant

Adding Polynomials

Matlab backslash operator

Eulers's Phi Function

Kronecker product (Matlab Style)

Infinite Integrals

Pade Approximation

Log-linearly Spaced Sequences

Print Polynomial

Next Power of 2

Matrix diagonal

Moebius Function

Kernel or Nullspace

Complex Gamma Function

Lagrange and Newtons Interpolation

Segment Distance

Generate Random Orthogogonal Matrix

Modular Inverse

Gaussian Triangle Quadrature

Titanium Test Data

Gauss-Laguerre Quadrature Formula

Justify character vector

Two-dimensional Data Interpolation

Piecewise Linear Function

isempty Property

Replicate Matrix

Remove leading and trailing white space.

Richardson's Numerical Derivative

Rational Interpolation

Find overlapping regular expression matches.

Matrix Rotation

Runge-Kutta-Fehlberg

Rootfinding through Newton-Raphson or Secant.

Standard Deviation (Matlab Style)

Pseudoinverse or Generalized Inverse

Double Simpson Integration

Trigonometric Polynomial

Area of a Polygon

Vandermonde matrix

Trigonometric Approximation

Find and replace substring

Taylor Series Approximation