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pracma (version 1.9.9)

Practical Numerical Math Functions

Description

Provides a large number of functions from numerical analysis and linear algebra, numerical optimization, differential equations, time series, plus some well-known special mathematical functions. Uses 'MATLAB' function names where appropriate to simplify porting.

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Version

Install

install.packages('pracma')

Monthly Downloads

83,928

Version

1.9.9

License

GPL (>= 3)

Maintainer

HwB

Last Published

January 11th, 2017

Functions in pracma (1.9.9)

Adams-Bashford-Moulton

Univariate Akima Interpolation

2-D Barycentric Lagrange Interpolation

Logical AND, OR (Matlab Style)

Andrews' Curves

Barycentric Lagrange Interpolation

Arc Length of a Curve

Basic Complex Functions

Accumulate Vector Elements

Utility functions (Matlab style)

Rootfinding Through Bisection

Brownian Motion

Chebyshev Polynomials

Block Diagonal Matrix

Brent-Dekker Root Finding Algorithm

Chebyshev Polynomials

Broyden's Method

n-dimensional Vector Cross Product

Vector Cross Product

Evaluate ODE Solution

Matrix Diagonal

clenshaw_curtis

Clenshaw-Curtis Quadrature Formula

Generate Combinations

Remove Linear Trends

Degrees to Radians

Approximate and Sample Entropy

Jacobi Eigenvalue Method

Floating Point Relative Accuracy

Easy Polar Plot

Fibonacci Search

Error Functions and Inverses (Matlab Style)

Formatted Printing (Matlab style)

Control Plot Devices (Matlab Style)

GCD and LCM Integer Functions

Gauss-Newton Function Minimization

Hausdorff Distance

Householder Reflections

Haversine Formula

Matlab Test Functions

Two-dimensional Data Interpolation

Directory Functions (Matlab style)

String of Blank Carakters

Binary Representation

Matrix Condition

Integer Functions (Matlab Style)

Polynomial Convolution

Factorial Function

Find All Minima

Generalized Minimal Residual Method

Hooke-Jeeves Minimization Method

Golden Ratio Search

Matrix Inverse (Matlab Style)

Iterative Methods

isprime Property

Linearly Spaced Sequences

Log-linearly Spaced Sequences

Generate a Mesh Grid

Fitting a Circle

Newton-Cotes Formulas

clear, who(s), ver

Clear function (Matlab style)

Univariate Global Optimization

Distance Matrix

Crank-Nicolson Method

Interpolating Cubic Spline

Parametric Curve Fit

Event Detection in ODE solution

Bulirsch-Stoer Algorithm

Euler-Heun ODE Solver

Some Basic Matrices

Estimated Matrix Norm

Lagrange and Newtons Interpolation

Newton's Root Finding Method for Polynomials.

Pade Approximation

Pascal Triangle

Polynomial Approximation

Area of a Polygon

Practical Numerical Math Routines

Numerical Differentiation

2-d Gaussian Quadrature

Geometric Median

Matrix Flipping (Matlab Style)

Givens Rotation

Kronecker product (Matlab Style)

L1 Linear Regression

Elementwise Function Application (Matlab Style)

Characteristic Polynomial

Coordinate Transformations

Chebyshev Approximation

Companion Matrix

Complex Step Derivatives

Find Cutting Points

Double and Triple Integration

Fornberg's Finite Difference Approximation

Hadamard Matrix

Legendre Functions (Matlab Style)

Solve System of Nonlinear Equations

Line integral (in the complex plane)

Matlab backslash operator

Integer Division

Next Power of 2

Nile overflow data

Eigenvalue Function (Matlab Style)

Find Interval Indices

find function (Matlab Style)

Finding Function Minimum

Minimum Finding

Complex Gamma Function

Complex Root Finding

Histogram Count (Matlab style)

Histogram Bin-width Optimization

isempty Property

Inverse Laplacian

LU Matrix Factorization

Binomial Coefficients

Number of Dimensions

Nonzero Elements

Numerically Evaluate Double and Triple Integrals

One-dimensional Interpolation

Laguerre's Method

Lambert's W Function

Linear Least-Squares Fitting

Linear Least-Squares Fitting with linear constraints

Halley's Root Finding Mathod

Mode function (Matlab style)

coth,csch,sech, etc.

More Hyperbolic Functions

Adaptive Numerical Integration

Laplacian Operator

Lebesgue Constant

Newton Method for Nonlinear Systems

Rootfinding through Newton-Raphson or Secant.

Number of Elements

Non-stiff (and stiff) ODE solvers

Plotting Two y-Axes

Pseudoinverse or Generalized Inverse

Adding Polynomials

Print Polynomial

Vectorized Integration

Replicate Matrix

Quiver or Velocity Plot

Hermitean Interpolation Polynomials

Peaks Function (Matlab Style)

Polynomial Transformation

Polynomial Powers

Piecewise Polynomial Structures

Infinite Integrals

Piecewise Polynomial Fit

Adaptive Lobatto Quadrature

Replace string using regular expression

Match regular expression

Polynomial Roots

Orthogonal Distance Regression

Generate Permutations

Piecewise Linear Function

Multiplying Polynomials

Anti-derivative of Polynomial

Plot Error Bars

Dirichlet Eta Function

ezcontour,ezsurf,ezmesh

Contour, Surface, and Mesh Plotter

Gauss-Kronrod Quadrature

Easy Function Plot

Gauss-Legendre Quadrature Formula

Adaptive Clenshaw-Curtis Quadrature

Adaptive Simpson Quadrature

Random Permutation

Generate Random Orthonormal or Unitary Matrix

Soft (Inexact) Line Search

Double Simpson Integration

Matlab Compatibility

geomean, harmmean

Geometric and Harmonic Mean (Matlab Style)

Nearest Symmetric Positive-definite Matrix

Nelder-Mead Minimization

Random Combination

Create Random Matrices

Evaluating a Polynomial

Adaptive Simpson Quadrature

Rational Interpolation

Rational Function Approximation

Matrix Rotation

Reduced Row Echelon Form

Monotone (Shape-Preserving) Interpolation

Sort Rows of a Matrix (Matlab Style)

Savitzky-Golay Smoothing

Taylor Series Approximation

Alternating Series Acceleration

Trapezoidal Integration

Discrete Gradient (Matlab Style)

Inverse Fast Fourier Transformation

Hypotenuse Function

Gaussian Triangle Quadrature

Jacobian Matrix

Tridiagonal Linear System Solver

Neville's Method

Muller's Method

Interpolation by Kriging

Kernel or Nullspace

Moving Average Filters

Richardson's Numerical Derivative

Polar Coordinate Plot (Matlab Style)

Define Polynomial by Roots

Derivative of Polynomial

polyfit,polyfix

Fitting by Polynomial

Special Quadratic Programming Solver

Adaptive Gauss-Kronrod Quadrature

Solving the Procrustes Problem

Gaussian Quadrature with Richardson Extrapolation

Continuous Fractions (Matlab Style)

Accuracy Measures

Romberg Integration

sind,cosd,tand, etc.

Trigonometric Functions in Degrees

Remove leading and trailing white space.

Steepest Descent Minimization

Standard Deviation (Matlab Style)

Angle between two subspaces

Triangular Matrices (Matlab Style)

Rectangle Intersection Areas

Find overlapping regular expression matches.

Runge-Kutta-Fehlberg

semilogx,semilogy

Semi-logarithmic Plots (Matlab Style)

Shooting Method

Converting string to number (Matlab style)

Classical Runge-Kutta

Segment Distance

Segment Intersection

Format Distance Matrix (Matlab Style)

MATLAB timer functions

Titanium Test Data

Toeplitz Matrix

Vandermonde matrix

Vector Field Plotting

Whittaker Smoothing

wilkinson Matrix

Sorting Routines

Find and replace substring

Justify character vector

String Concatenation

Find Substrings

String Comparison

Trigonometric Approximation

Riemann Zeta Function

cot,csc,sec, etc.

More Trigonometric Functions