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pracma (version 1.0.1)

Practical Numerical Math Functions

Description

Implementations of functions in numerical analysis as R scripts, 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

1.0.1

License

GPL (>= 3)

Maintainer

HwB

Last Published

March 12th, 2012

Functions in pracma (1.0.1)

Arithmetic-geometric Mean

2-D Barycentric Lagrange Interpolation

Fitting a Circle

Event Detection in ODE solution

Evaluate ODE Solution

Degrees to Radians

Control Plot Devices (Matlab Style)

Matrix Flipping (Matlab Style)

Hadamard Matrix

Householder Reflections

Matlab Test Functions

Newton's Root Finding Method for Polynomials.

Evaluating a Polynomial

Polynomial Approximation

Polynomial Roots

Newton Method for Nonlinear Systems

Angle between two subspaces

Triangular Matrices (Matlab Style)

Ridder's Method

Barycentric Lagrange Interpolation

Matrix Condition

Einstein Functions

Gauss-Newton Function Minimization

Next Power of 2

Jacobian Matrix

isprime Property

Polynomial Powers

Continuous Fractions (Matlab Style)

Generate Random Orthogogonal Matrix

Reduced Row Echelon Form

Adaptive Simpson Quadrature

Trigonometric Polynomial

Golden Ratio Search

Remove leading and trailing white space.

Broyden's Method

Basic Complex Functions

Chebyshev Approximation

n-dimensional Vector Cross Product

Find Cutting Points

Easy Function Plot

Fresnel Integrals

Fresnel Integrals

Discrete Gradient (Matlab Style)

Hausdorff Distance

Generate a Mesh Grid

K-means++ Clustering

Number of Prime Factors

Generate Permutations

Nonzero Elements

Plotting Crosses

Romberg Integration

Toeplitz Matrix

Some Basic Matrices

Continous Fractions

Brent-Dekker Root Finding Method

Accumulate Vector Elements

Chebyshev Polynomials

Distance Matrix

Remove Linear Trends

Beep function (Matlab style)

Matrix Inverse (Matlab Style)

Linearly Spaced Sequences

Kronecker product (Matlab Style)

Mode function (Matlab style)

Derivative of Polynomial

Adaptive Simpson Quadrature

Random Combination

Accuracy Measures

Savitzky-Golay Smoothing

Find and replace substring

Match regular expression

Area of a Polygon

Integer Functions (Matlab Style)

Univariate Global Optimization

Factorial Function

Plot Error Bars

Fibonacci Search

Gauss-Legendre Quadrature Formula

Find All Minima

Laplacian Operator

Estimated Matrix Norm

Multiplying Polynomials

Infinite Integrals

Replace string using regular expression

Classical Runge-Kutta

Runge-Kutta-Fehlberg

Soft (Inexact) Line Search

Standard Deviation (Matlab Style)

Rational Interpolation

Gaussian Triangle Quadrature

Rational Function Approximation

Trigonometric Approximation

Wilkinson Matrix

Sorting Routines

Andrews' Curves

Logical AND, OR (Matlab Style)

String of Blank Carakters

Double Integration

Characteristic Polynomial

Numerical Differentiation

Givens Rotation

Lagrange and Newtons Interpolation

Pseudoinverse or Generalized Inverse

Plotting Two y-Axes

Hermitean Interpolation Polynomials

Anti-derivative of Polynomial

Practical Numerical Math Routines

Muller's Method

Matrix Rotation

Vector Field Plotting

Justify character vector

Coordinate Transformations

Rootfinding Through Bisection

Solve Boundary Value Problem

Polynomial Convolution

Crank-Nicolson Method

Dirichlet Eta Function

clenshaw_curtis

Clenshaw-Curtis Quadrature Formula

Matrix Exponential

Generate Combinations

Companion Matrix

Vector Cross Product

Complex Root Finding

Complex Gamma Function

Eigenvalue Function (Matlab Style)

Extended Euclidean Algorithm

Lambert's W Function

Gauss-Kronrod Quadrature

Numerical Gradient

Two-dimensional Data Interpolation

Log-linearly Spaced Sequences

Neville's Method

Lebesgue Constant

Matrix Diagonal

Moebius Function

Piecewise Linear Function

Gaussian Quadrature with Richardson Extrapolation

Number of Elements

Pade Approximation

Peaks Function (Matlab Style)

Fitting by Polynomial

Create Random Matrices

Random Permutation

Replicate Matrix

Find overlapping regular expression matches.

Sigmoid Function

String Concatenation

Divisor Functions

Quiver or Velocity Plot

Segment Distance

String Comparison

Vandermonde matrix

Riemann Zeta Function

Clear function (Matlab style)

Error Functions and Inverses (Matlab Style)

Find function (Matlab Style)

Plot Multivariate Function

Minimum Finding

Minimum Finding

Inverse Fast Fourier Transformation

Hypotenuse Function

isempty Property

Laguerre's Method

Integer Division

Matlab backslash operator

Kernel or Nullspace

Pascal Triangle

Polar Coordinate Plot (Matlab Style)

Print Polynomial

Adaptive Gauss-Kronrod Quadrature

Polynomial Transformation

Adaptive Lobatto Quadrature

Segment Intersection

Monotone (Shape-Preserving) Interpolation

Whittaker Smoothing

GCD and LCM Integer Functions

Chebyshev Polynomials

Block Diagonal Matrix

Newton-Cotes Formulas

Complex Step Derivation

Eulers's Phi Function

Gauss-Hermite Quadrature Formula

One-dimensional Interpolation

Modular Inverse

Power Function modulo m

Richardson's Numerical Derivative

Number of Dimensions

2-d Gaussian Quadrature

Double Simpson Integration

Matrix Square and p-th Roots

Approximate Entropy

Adams-Bashford-Moulton

Find Interval Indices

Gauss-Laguerre Quadrature Formula

Interval Functions

Solve System of Nonlinear Equations

Rootfinding through Newton-Raphson or Secant.

Binomial Coefficients

Define Polynomial by Roots

Adding Polynomials

Find Substrings

Trapezoidal Integration

Taylor Series Approximation

Titanium Test Data