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pracma (version 1.3.3)

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

1.3.3

License

GPL (>= 3)

Maintainer

HwB

Last Published

December 13th, 2012

Functions in pracma (1.3.3)

Companion Matrix

Matrix Condition

Easy Function Plot

coth,csch,sech, etc.

More Hyperbolic Functions

Inverse Laplacian

Generate Permutations

Mode function (Matlab style)

Polynomial Approximation

Anti-derivative of Polynomial

Fitting by Polynomial

Quiver or Velocity Plot

Vectorized Integration

Optimization Test Function

Romberg Integration

String Comparison

Find Substrings

Logical AND, OR (Matlab Style)

Barycentric Lagrange Interpolation

Chebyshev Approximation

Distance Matrix

Minimum Finding

GCD and LCM Integer Functions

Histogram Count (Matlab style)

Hypotenuse Function

Gauss-Kronrod Quadrature

Lebesgue Constant

Rootfinding through Newton-Raphson or Secant.

Number of Dimensions

Plotting Two y-Axes

Polynomial Powers

Gaussian Quadrature with Richardson Extrapolation

Create Random Matrices

Matrix Rotation

Adaptive Simpson Quadrature

Soft (Inexact) Line Search

Sort Rows of a Matrix (Matlab Style)

Sorting Routines

Adams-Bashford-Moulton

Matrix Square and p-th Roots

Rootfinding Through Bisection

Brent-Dekker Root Finding Method

Complex Step Derivation

n-dimensional Vector Cross Product

Standard Deviation (Matlab Style)

Infinite Integrals

Find Cutting Points

Exponential and Logarithmic Integral

Easy Polar Plot

Control Plot Devices (Matlab Style)

Finite Difference Approximation (Fornberg's Method)

Plot Multivariate Function

Givens Rotation

Gauss-Hermite Quadrature Formula

Hadamard Matrix

isempty Property

Laguerre's Method

Moving Average Filters

Hermitean Interpolation Polynomials

Pascal Triangle

Accuracy Measures

Converting string to number (Matlab style)

String Concatenation

Savitzky-Golay Smoothing

Trigonometric Polynomial

Toeplitz Matrix

String of Blank Carakters

Elementwise Function Application (Matlab Style)

Error Functions and Inverses (Matlab Style)

Clear function (Matlab style)

Complex Root Finding

Complex Gamma Function

K-means++ Clustering

Inverse Permutation

Matlab Compatibility

Integer Division

Generate a Mesh Grid

Newton Method for Nonlinear Systems

Plotting Crosses

Classical Runge-Kutta

Rational Function Approximation

Polynomial Roots

Generate Random Orthogogonal Matrix

Triangular Matrices (Matlab Style)

cot,csc,sec, etc.

More Trigonometric Functions

Trapezoidal Integration

Utility functions (Matlab style)

Broyden's Method

Double Integration

Basic Complex Functions

Plot Error Bars

Einstein Functions

Elliptic and Jacobi Elliptic Integrals

Discrete Gradient (Matlab Style)

Numerical Gradient

Hooke-Jeeves Method

Kronecker product (Matlab Style)

Linearly Spaced Sequences

Pade Approximation

Derivative of Polynomial

Multiplying Polynomials

Coordinate Transformations

clenshaw_curtis

Clenshaw-Curtis Quadrature Formula

Vector Cross Product

Event Detection in ODE solution

Random Combination

Evaluate ODE Solution

Eigenvalue Function (Matlab Style)

Replace string using regular expression

Approximate Entropy

Some Basic Matrices

2-d Gaussian Quadrature

Replicate Matrix

Adaptive Gauss-Kronrod Quadrature

Fibonacci Search

Runge-Kutta-Fehlberg

Vector Field Plotting

Reduced Row Echelon Form

Sigmoid Function

ezcontour,ezmesh

Contour and Mesh Plotter

Numerical Differentiation

Find overlapping regular expression matches.

find function (Matlab Style)

Find All Minima

Justify character vector

fletcher-powell

Davidon-Fletcher-Powell Method

Titanium Test Data

isprime Property

Lambert's W Function

Muller's Method

Matlab backslash operator

Richardson's Numerical Derivative

Nonzero Elements

Number of Elements

Andrews' Curves

Characteristic Polynomial

Boundary Value Problems

Integer Functions (Matlab Style)

Fitting a Circle

Polynomial Convolution

Practical Numerical Math Routines

Pseudoinverse or Generalized Inverse

Newton-Cotes Formulas

Solving the Procrustes Problem

Random Permutation

MATLAB timer functions

Factorial Function

Gauss-Newton Function Minimization

Householder Reflections

Two-dimensional Data Interpolation

Binomial Coefficients

Matrix Inverse (Matlab Style)

Log-linearly Spaced Sequences

Next Power of 2

Polar Coordinate Plot (Matlab Style)

Area of a Polygon

Segment Distance

Evaluating a Polynomial

Monotone (Shape-Preserving) Interpolation

Find and replace substring

Vandermonde matrix

Remove leading and trailing white space.

wilkinson Matrix

Block Diagonal Matrix

Chebyshev Polynomials

Crank-Nicolson Method

Jacobi Eigenvalue Method

Remove Linear Trends

Fresnel Integrals

Solve System of Nonlinear Equations

Golden Ratio Search

Hausdorff Distance

Jacobian Matrix

Interpolation by Kriging

Nonlinear Least-Squares Fitting

Estimated Matrix Norm

Piecewise Polynomial Fit

Rational Interpolation

Double Simpson Integration

steepest_descent

Steepest Descent

Ridders' Method

Angle between two subspaces

Gaussian Triangle Quadrature

Whittaker Smoothing

Tridiagonal Linear System Solver

Univariate Akima Interpolation

2-D Barycentric Lagrange Interpolation

Parametric Curve Fit

Interpolating Cubic Spline

Matrix Diagonal

Degrees to Radians

Matrix Exponential

Find Interval Indices

Finding Function Minimum

Incomplete Gamma Function

Gauss-Legendre Quadrature Formula

Gauss-Laguerre Quadrature Formula

Matlab Test Functions

One-dimensional Interpolation

Laplacian Operator

Nelder-Mead Minimization Method

Neville's Method

Lagrange and Newtons Interpolation

Newton's Root Finding Method for Polynomials.

Define Polynomial by Roots

Print Polynomial

Adaptive Simpson Quadrature

Adaptive Lobatto Quadrature

Piecewise Polynomial Structures

Match regular expression

Segment Intersection

Adding Polynomials

Riemann Zeta Function

Accumulate Vector Elements

Brownian Motion

Generate Combinations

Univariate Global Optimization

Dirichlet Eta Function

Chebyshev Polynomials

Euler-Heun ODE Solver

Matrix Flipping (Matlab Style)

Inverse Fast Fourier Transformation

Linear Least-Squares Fitting

Kernel or Nullspace

Peaks Function (Matlab Style)

Piecewise Linear Function

Polylogarithm Function

Polynomial Transformation

Continuous Fractions (Matlab Style)

Taylor Series Approximation

Trigonometric Approximation