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pracma (version 1.2.0)

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 function names where appropriate to simplify porting.

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Version

Install

install.packages('pracma')

Monthly Downloads

108,124

Version

1.2.0

License

GPL (>= 3)

Maintainer

Last Published

September 27th, 2012

Functions in pracma (1.2.0)

Generate Combinations

Eigenvalue Function (Matlab Style)

Matrix Diagonal

Interpolating Cubic Spline

Some Basic Matrices

Find Interval Indices

Control Plot Devices (Matlab Style)

Gauss-Newton Function Minimization

Inverse Fast Fourier Transformation

Neville's Method

Nonzero Elements

Log-linearly Spaced Sequences

Plotting Two y-Axes

Fitting by Polynomial

Utility functions (Matlab style)

Define Polynomial by Roots

Chebyshev Polynomials

String of Blank Carakters

Evaluate ODE Solution

Plot Error Bars

Replace string using regular expression

Minimum Finding

Titanium Test Data

Discrete Gradient (Matlab Style)

Savitzky-Golay Smoothing

Numerical Differentiation

Gauss-Legendre Quadrature Formula

Lambert's W Function

Jacobian Matrix

Linearly Spaced Sequences

Generate a Mesh Grid

Rootfinding through Newton-Raphson or Secant.

Kernel or Nullspace

Match regular expression

Adaptive Gauss-Kronrod Quadrature

Replicate Matrix

Matrix Rotation

steepest_descent

Steepest Descent

Adaptive Simpson Quadrature

Block Diagonal Matrix

Trapezoidal Integration

Broyden's Method

Characteristic Polynomial

Optimization Test Function

Classical Runge-Kutta

Companion Matrix

Fresnel Integrals

Error Functions and Inverses (Matlab Style)

Numerical Gradient

Monotone (Shape-Preserving) Interpolation

Number of Dimensions

Print Polynomial

Reduced Row Echelon Form

Romberg Integration

Matrix Square and p-th Roots

Find Substrings

Boxed Region Transformation

Trigonometric Polynomial

MATLAB timer functions

Finite Difference Approximation (Fornberg's Method)

Remove Linear Trends

Trigonometric Approximation

Adams-Bashford-Moulton

Fitting a Circle

Univariate Global Optimization

Matrix Exponential

Factorial Function

ezcontour,ezmesh

Contour and Mesh Plotter

Gauss-Laguerre Quadrature Formula

Incomplete Gamma Function

GCD and LCM Integer Functions

Hausdorff Distance

Inverse Laplacian

Laguerre's Method

Moving Average Filters

Integer Division

Newton Method for Nonlinear Systems

Binomial Coefficients

Adaptive Simpson Quadrature

Sigmoid Function

Justify character vector

Logical AND, OR (Matlab Style)

Integer Functions (Matlab Style)

Chebyshev Approximation

n-dimensional Vector Cross Product

Fibonacci Search

Dirichlet Eta Function

Finding Function Minimum

Complex Gamma Function

Complex Root Finding

Nonlinear Least-Squares Fitting

Richardson's Numerical Derivative

Peaks Function (Matlab Style)

Pseudoinverse or Generalized Inverse

Polynomial Powers

Practical Numerical Math Routines

Anti-derivative of Polynomial

Soft (Inexact) Line Search

Accuracy Measures

String Concatenation

Lagrange and Newtons Interpolation

Clear function (Matlab style)

Sorting Routines

Vandermonde matrix

find function (Matlab Style)

Basic Complex Functions

Barycentric Lagrange Interpolation

Easy Function Plot

Find All Minima

fletcher-powell

Davidon-Fletcher-Powell Method

Hadamard Matrix

Hypotenuse Function

Matlab backslash operator

Plotting Crosses

Polynomial Approximation

Gaussian Quadrature with Richardson Extrapolation

Rational Function Approximation

Remove leading and trailing white space.

Generate Random Orthogogonal Matrix

Angle between two subspaces

Generate Permutations

Rootfinding Through Bisection

Taylor Series Approximation

Estimated Matrix Norm

Solve Boundary Value Problem

Newton-Cotes Formulas

Crank-Nicolson Method

Event Detection in ODE solution

Degrees to Radians

Plot Multivariate Function

Solve System of Nonlinear Equations

Laplacian Operator

Pade Approximation

Newton's Root Finding Method for Polynomials.

Area of a Polygon

Multiplying Polynomials

Derivative of Polynomial

Random Combination

Polynomial Roots

Segment Intersection

Double Simpson Integration

Whittaker Smoothing

Riemann Zeta Function

Matrix Inverse (Matlab Style)

Andrews' Curves

Coordinate Transformations

Brent-Dekker Root Finding Method

2-D Barycentric Lagrange Interpolation

Chebyshev Polynomials

Complex Step Derivation

Double Integration

Gauss-Hermite Quadrature Formula

Matlab Test Functions

One-dimensional Interpolation

Two-dimensional Data Interpolation

isempty Property

K-means++ Clustering

Pascal Triangle

Hermitean Interpolation Polynomials

Inverse Permutation

Polar Coordinate Plot (Matlab Style)

Infinite Integrals

Find overlapping regular expression matches.

Rational Interpolation

Ridders' Method

Runge-Kutta-Fehlberg

Find and replace substring

Triangular Matrices (Matlab Style)

Gaussian Triangle Quadrature

Accumulate Vector Elements

clenshaw_curtis

Clenshaw-Curtis Quadrature Formula

Matrix Condition

Polynomial Convolution

Find Cutting Points

Vector Cross Product

Gauss-Kronrod Quadrature

Givens Rotation

Householder Reflections

Hooke-Jeeves Method

Mode function (Matlab style)

isprime Property

Muller's Method

Next Power of 2

Piecewise Linear Function

Number of Elements

Piecewise Polynomial Fit

Evaluating a Polynomial

Polylogarithm Function

Quiver or Velocity Plot

Standard Deviation (Matlab Style)

Random Permutation

String Comparison

Toeplitz Matrix

Vector Field Plotting

Lebesgue Constant

2-d Gaussian Quadrature

Adaptive Lobatto Quadrature

Distance Matrix

Approximate Entropy

Piecewise Polynomial Structures

Polynomial Transformation

Kronecker product (Matlab Style)

Einstein Functions

Matrix Flipping (Matlab Style)

Brownian Motion

wilkinson Matrix

Create Random Matrices

Nelder-Mead Minimization Method

Golden Ratio Search

Segment Distance

Adding Polynomials

Continuous Fractions (Matlab Style)