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pracma (version 1.1.0)

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/Octave function names where appropriate to simplify porting.

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Version

Install

install.packages('pracma')

Monthly Downloads

88,346

Version

1.1.0

License

GPL (>= 3)

Maintainer

HwB

Last Published

June 6th, 2012

Functions in pracma (1.1.0)

Solve Boundary Value Problem

Arithmetic-geometric Mean

Chebyshev Polynomials

Degrees to Radians

Evaluate ODE Solution

Solve System of Nonlinear Equations

Finite Difference Approximation (Fornberg's Method)

Givens Rotation

Two-dimensional Data Interpolation

Complex Gamma Function

Lebesgue Constant

Lambert's W Function

Power Function modulo m

K-means++ Clustering

Mode function (Matlab style)

Rootfinding through Newton-Raphson or Secant.

Richardson's Numerical Derivative

Pade Approximation

Muller's Method

Fitting by Polynomial

Multiplying Polynomials

Runge-Kutta-Fehlberg

Trigonometric Approximation

Toeplitz Matrix

Chebyshev Approximation

Brent-Dekker Root Finding Method

Fitting a Circle

clenshaw_curtis

Clenshaw-Curtis Quadrature Formula

Complex Step Derivation

Find Cutting Points

Control Plot Devices (Matlab Style)

Gauss-Legendre Quadrature Formula

Householder Reflections

Matlab Test Functions

Gauss-Laguerre Quadrature Formula

isempty Property

Inverse Laplacian

Hypotenuse Function

Moving Average Filters

Number of Dimensions

Kernel or Nullspace

Anti-derivative of Polynomial

Adding Polynomials

Infinite Integrals

Replicate Matrix

Divisor Functions

Justify character vector

GCD and LCM Integer Functions

Basic Complex Functions

String of Blank Carakters

Vector Cross Product

Dirichlet Eta Function

Error Functions and Inverses (Matlab Style)

Eigenvalue Function (Matlab Style)

One-dimensional Interpolation

Linearly Spaced Sequences

Inverse Permutation

Matrix Diagonal

Modular Linear Equation Solver

Number of Elements

Matlab backslash operator

Plotting Crosses

Area of a Polygon

Polynomial Powers

Evaluating a Polynomial

Match regular expression

String Comparison

Barycentric Lagrange Interpolation

Fibonacci Search

Block Diagonal Matrix

Golden Ratio Search

Pascal Triangle

Hermitean Interpolation Polynomials

Modular Inverse

Derivative of Polynomial

Adaptive Simpson Quadrature

Broyden's Method

Brownian Motion

Characteristic Polynomial

Generate Combinations

Event Detection in ODE solution

Crank-Nicolson Method

Find All Minima

Gauss-Kronrod Quadrature

Inverse Fast Fourier Transformation

Kronecker product (Matlab Style)

Jacobian Matrix

Nonlinear Least-Squares Fitting

Estimated Matrix Norm

Next Power of 2

2-d Gaussian Quadrature

Practical Numerical Math Routines

Quiver or Velocity Plot

Ridders' Method

Matrix Rotation

Generate Random Orthogogonal Matrix

Sigmoid Function

Random Permutation

Find Substrings

Gaussian Triangle Quadrature

Riemann Zeta Function

2-D Barycentric Lagrange Interpolation

Chebyshev Polynomials

Clear function (Matlab style)

Double Integration

Plot Error Bars

Eulers's Phi Function

Fresnel Integrals

Fresnel Integrals

Find Interval Indices

Gauss-Hermite Quadrature Formula

Hausdorff Distance

isprime Property

Laplacian Operator

Nonzero Elements

Lagrange and Newtons Interpolation

Create Random Matrices

Moebius Function

Pseudoinverse or Generalized Inverse

Random Combination

Gaussian Quadrature with Richardson Extrapolation

Adaptive Gauss-Kronrod Quadrature

Classical Runge-Kutta

Savitzky-Golay Smoothing

Trapezoidal Integration

Wilkinson Matrix

Logical AND, OR (Matlab Style)

Andrews' Curves

Integer Functions (Matlab Style)

Matrix Condition

Polynomial Convolution

Interpolating Cubic Spline

Some Basic Matrices

Minimum Finding

Numerical Gradient

Hadamard Matrix

Generate a Mesh Grid

Binomial Coefficients

Newton Method for Nonlinear Systems

Newton's Root Finding Method for Polynomials.

Peaks Function (Matlab Style)

Plotting Two y-Axes

Segment Intersection

Find and replace substring

Remove leading and trailing white space.

Rootfinding Through Bisection

n-dimensional Vector Cross Product

Coordinate Transformations

Univariate Global Optimization

Factorial Function

Distance Matrix

Numerical Differentiation

Minimum Finding

Log-linearly Spaced Sequences

Number of Prime Factors

Neville's Method

Print Polynomial

Polar Coordinate Plot (Matlab Style)

Rational Function Approximation

Polynomial Approximation

Romberg Integration

Double Simpson Integration

Whittaker Smoothing

String Concatenation

Titanium Test Data

Taylor Series Approximation

Adams-Bashford-Moulton

Accumulate Vector Elements

Beep function (Matlab style)

Companion Matrix

Newton-Cotes Formulas

Continous Fractions

Approximate Entropy

Remove Linear Trends

Einstein Functions

Matrix Exponential

Gauss-Newton Function Minimization

Discrete Gradient (Matlab Style)

Plot Multivariate Function

Matrix Inverse (Matlab Style)

Easy Function Plot

Find function (Matlab Style)

Laguerre's Method

Extended Euclidean Algorithm

Matrix Flipping (Matlab Style)

Matrix Square and p-th Roots

Complex Root Finding

Integer Division

Piecewise Linear Function

Generate Permutations

Define Polynomial by Roots

Polynomial Transformation

Piecewise Polynomial Fit

Replace string using regular expression

Piecewise Polynomial Structures

Rational Interpolation

Find overlapping regular expression matches.

Continuous Fractions (Matlab Style)

Adaptive Lobatto Quadrature

Reduced Row Echelon Form

Polynomial Roots

Segment Distance

Sorting Routines

MATLAB timer functions

Angle between two subspaces

Soft (Inexact) Line Search

Vector Field Plotting

Vandermonde matrix

Accuracy Measures

Triangular Matrices (Matlab Style)

Adaptive Simpson Quadrature

Standard Deviation (Matlab Style)

Trigonometric Polynomial

Monotone (Shape-Preserving) Interpolation