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pracma (version 1.3.1)

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 function names where appropriate to simplify porting.

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Version

Install

install.packages('pracma')

Monthly Downloads

88,507

Version

1.3.1

License

GPL (>= 3)

Maintainer

HwB

Last Published

December 7th, 2012

Functions in pracma (1.3.1)

Adams-Bashford-Moulton

Elementwise Function Application (Matlab Style)

Basic Complex Functions

Integer Functions (Matlab Style)

Parametric Curve Fit

Matrix Diagonal

Crank-Nicolson Method

Plot Error Bars

Interpolating Cubic Spline

Gauss-Newton Function Minimization

Discrete Gradient (Matlab Style)

Hadamard Matrix

Laplacian Operator

Log-linearly Spaced Sequences

Integer Division

Rootfinding through Newton-Raphson or Secant.

Pade Approximation

Number of Elements

Peaks Function (Matlab Style)

Kernel or Nullspace

Piecewise Linear Function

Evaluating a Polynomial

Solving the Procrustes Problem

Replace string using regular expression

Adaptive Lobatto Quadrature

Classical Runge-Kutta

Triangular Matrices (Matlab Style)

Standard Deviation (Matlab Style)

Andrews' Curves

Barycentric Lagrange Interpolation

2-D Barycentric Lagrange Interpolation

Univariate Global Optimization

clenshaw_curtis

Clenshaw-Curtis Quadrature Formula

ezcontour,ezmesh

Contour and Mesh Plotter

Broyden's Method

Vector Cross Product

Degrees to Radians

Characteristic Polynomial

Chebyshev Approximation

Distance Matrix

Approximate Entropy

Gauss-Laguerre Quadrature Formula

Complex Gamma Function

Inverse Permutation

Matlab backslash operator

Mode function (Matlab style)

Numerical Gradient

GCD and LCM Integer Functions

Polylogarithm Function

Pseudoinverse or Generalized Inverse

Plot Multivariate Function

Find overlapping regular expression matches.

Justify character vector

Titanium Test Data

Lebesgue Constant

Hypotenuse Function

Interpolation by Kriging

Nonlinear Least-Squares Fitting

Matlab Compatibility

Jacobian Matrix

Muller's Method

Trigonometric Polynomial

Gaussian Triangle Quadrature

Whittaker Smoothing

Nelder-Mead Minimization Method

Tridiagonal Linear System Solver

Riemann Zeta Function

Segment Distance

Lagrange and Newtons Interpolation

Pascal Triangle

Generate Permutations

Polynomial Transformation

Piecewise Polynomial Structures

Quiver or Velocity Plot

Random Permutation

Rational Interpolation

Trapezoidal Integration

Sorting Routines

Vandermonde matrix

Brownian Motion

Chebyshev Polynomials

Easy Function Plot

Find Cutting Points

Coordinate Transformations

Euler-Heun ODE Solver

Control Plot Devices (Matlab Style)

Finite Difference Approximation (Fornberg's Method)

String of Blank Carakters

Fitting a Circle

Complex Root Finding

Event Detection in ODE solution

Companion Matrix

Double Integration

Hausdorff Distance

Matlab Test Functions

Inverse Fast Fourier Transformation

Einstein Functions

Neville's Method

K-means++ Clustering

Two-dimensional Data Interpolation

Find Interval Indices

Matrix Flipping (Matlab Style)

Fitting by Polynomial

Practical Numerical Math Routines

Solve System of Nonlinear Equations

Givens Rotation

One-dimensional Interpolation

coth,csch,sech, etc.

More Hyperbolic Functions

Inverse Laplacian

Adaptive Simpson Quadrature

Linearly Spaced Sequences

Derivative of Polynomial

Gaussian Quadrature with Richardson Extrapolation

Segment Intersection

Match regular expression

Generate a Mesh Grid

Monotone (Shape-Preserving) Interpolation

Estimated Matrix Norm

Moving Average Filters

steepest_descent

Steepest Descent

Ridders' Method

Remove leading and trailing white space.

Matrix Square and p-th Roots

Area of a Polygon

Savitzky-Golay Smoothing

Double Simpson Integration

String Concatenation

Matrix Rotation

Find and replace substring

Utility functions (Matlab style)

Rootfinding Through Bisection

Brent-Dekker Root Finding Method

Dirichlet Eta Function

Boundary Value Problems

Matrix Exponential

Factorial Function

isempty Property

Matrix Condition

isprime Property

Polynomial Powers

Polar Coordinate Plot (Matlab Style)

Piecewise Polynomial Fit

Romberg Integration

Continuous Fractions (Matlab Style)

Optimization Test Function

MATLAB timer functions

Taylor Series Approximation

Logical AND, OR (Matlab Style)

n-dimensional Vector Cross Product

Eigenvalue Function (Matlab Style)

Fresnel Integrals

Minimum Finding

Binomial Coefficients

Laguerre's Method

Define Polynomial by Roots

2-d Gaussian Quadrature

Replicate Matrix

Sigmoid Function

Adaptive Simpson Quadrature

Toeplitz Matrix

Vector Field Plotting

Univariate Akima Interpolation

Evaluate ODE Solution

Block Diagonal Matrix

Remove Linear Trends

fletcher-powell

Davidon-Fletcher-Powell Method

Finding Function Minimum

Gauss-Kronrod Quadrature

Gauss-Legendre Quadrature Formula

Householder Reflections

Lambert's W Function

Linear Least-Squares Fitting

Matrix Inverse (Matlab Style)

Next Power of 2

Plotting Crosses

Plotting Two y-Axes

Polynomial Approximation

Anti-derivative of Polynomial

Adaptive Gauss-Kronrod Quadrature

Accuracy Measures

Generate Random Orthogogonal Matrix

String Comparison

cot,csc,sec, etc.

More Trigonometric Functions

Find Substrings

wilkinson Matrix

Complex Step Derivation

Polynomial Convolution

Some Basic Matrices

Error Functions and Inverses (Matlab Style)

Fibonacci Search

Newton-Cotes Formulas

Histogram Count (Matlab style)

Hooke-Jeeves Method

Kronecker product (Matlab Style)

Nonzero Elements

Hermitean Interpolation Polynomials

Adding Polynomials

Print Polynomial

Multiplying Polynomials

Create Random Matrices

Random Combination

Rational Function Approximation

Converting string to number (Matlab style)

Soft (Inexact) Line Search

Richardson's Numerical Derivative

Accumulate Vector Elements

Clear function (Matlab style)

Chebyshev Polynomials

Generate Combinations

find function (Matlab Style)

Find All Minima

Incomplete Gamma Function

Numerical Differentiation

Gauss-Hermite Quadrature Formula

Infinite Integrals

Golden Ratio Search

Runge-Kutta-Fehlberg

Polynomial Roots

Angle between two subspaces

Number of Dimensions

Newton's Root Finding Method for Polynomials.

Reduced Row Echelon Form

Newton Method for Nonlinear Systems

Trigonometric Approximation