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pracma (version 1.8.6)

Practical Numerical Math Functions

Description

Functions from numerical analysis and linear algebra, numerical optimization, differential equations, plus some special functions. Uses Matlab function names where appropriate to simplify porting.

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Version

Install

install.packages('pracma')

Monthly Downloads

108,124

Version

1.8.6

License

GPL (>= 3)

Maintainer

Last Published

July 14th, 2015

Functions in pracma (1.8.6)

String of Blank Carakters

Brownian Motion

Companion Matrix

Degrees to Radians

Utility functions (Matlab style)

Crank-Nicolson Method

Remove Linear Trends

Find Cutting Points

Minimum Finding

fletcher-powell

Davidon-Fletcher-Powell Method

Complex Root Finding

Gauss-Hermite Quadrature Formula

Geometric Median

Numerical Gradient

Hooke-Jeeves Minimization Method

isprime Property

Two-dimensional Data Interpolation

LU Matrix Factorization

Binomial Coefficients

Jacobian Matrix

Piecewise Linear Function

Define Polynomial by Roots

Derivative of Polynomial

Polynomial Powers

2-d Gaussian Quadrature

Adaptive Clenshaw-Curtis Quadrature

Rational Function Approximation

Adaptive Lobatto Quadrature

Replicate Matrix

Romberg Integration

Accuracy Measures

Double Simpson Integration

Rectangle Intersection Areas

Monotone (Shape-Preserving) Interpolation

Titanium Test Data

Classical Runge-Kutta

Adams-Bashford-Moulton

Arithmetic-geometric Mean

n-dimensional Vector Cross Product

Distance Matrix

Factorial Function

Eigenvalue Function (Matlab Style)

Gauss-Kronrod Quadrature

Inverse Laplacian

Kronecker product (Matlab Style)

Match regular expression

Lagrange and Newtons Interpolation

Estimated Matrix Norm

Find overlapping regular expression matches.

MATLAB timer functions

Riemann Zeta Function

Barycentric Lagrange Interpolation

Brent-Dekker Root Finding Algorithm

Elementwise Function Application (Matlab Style)

Boundary Value Problems

Generate Combinations

Chebyshev Polynomials

Matrix Diagonal

Euler-Heun ODE Solver

Find All Minima

Newton-Cotes Formulas

clear, who(s), ver

Clear function (Matlab style)

Rootfinding Through Bisection

clenshaw_curtis

Clenshaw-Curtis Quadrature Formula

Event Detection in ODE solution

Double and Triple Integration

Univariate Global Optimization

Approximate and Sample Entropy

Find Interval Indices

Easy Polar Plot

Laguerre's Method

Plot Multivariate Function

Fibonacci Search

Fresnel Integrals

Number of Dimensions

Arc Length of a Curve

Bulirsch-Stoer Algorithm

Plot Error Bars

Characteristic Polynomial

Complex Step Derivatives

Mode function (Matlab style)

Pseudoinverse or Generalized Inverse

Fitting a Circle

Gauss-Newton Function Minimization

Easy Function Plot

Adding Polynomials

Piecewise Polynomial Structures

Numerical Differentiation

Neville's Method

coth,csch,sech, etc.

More Hyperbolic Functions

Complex Gamma Function

Discrete Gradient (Matlab Style)

Polynomial Transformation

Psi (Polygamma) Function

Replace string using regular expression

Piecewise Polynomial Fit

Quiver or Velocity Plot

Incomplete Gamma Function

Histogram Count (Matlab style)

Hadamard Matrix

Inverse Fast Fourier Transformation

Random Permutation

Iterative Methods

Find Substrings

Trigonometric Approximation

Generate Random Orthogogonal Matrix

Adaptive Numerical Integration

Runge-Kutta-Fehlberg

Log-linearly Spaced Sequences

Integer Functions (Matlab Style)

Andrews' Curves

Sort Rows of a Matrix (Matlab Style)

Accumulate Vector Elements

Nonlinear Least-Squares Fitting

Binary Representation

Sorting Routines

Alternating Series Acceleration

Moving Average Filters

Basic Complex Functions

Coordinate Transformations

Directory Functions (Matlab style)

Block Diagonal Matrix

Tridiagonal Linear System Solver

Logical AND, OR (Matlab Style)

Broyden's Method

Nonzero Elements

Nelder-Mead Minimization

Chebyshev Approximation

Number of Elements

Parametric Curve Fit

Polynomial Convolution

Elliptic and Jacobi Elliptic Integrals

Error Functions and Inverses (Matlab Style)

Control Plot Devices (Matlab Style)

Einstein Functions

Print Polynomial

Some Basic Matrices

Pade Approximation

Reduced Row Echelon Form

Richardson's Numerical Derivative

2-D Barycentric Lagrange Interpolation

Fornberg's Finite Difference Approximation

Multiplying Polynomials

Finding Function Minimum

Segment Distance

Practical Numerical Math Routines

Adaptive Simpson Quadrature

Continuous Fractions (Matlab Style)

Generalized Minimal Residual Method

Hausdorff Distance

Trigonometric Polynomial

Givens Rotation

Halley's Root Finding Mathod

Gauss-Laguerre Quadrature Formula

Gauss-Legendre Quadrature Formula

Inverse Permutation

Vandermonde matrix

Line integral (in the complex plane)

Sigmoid Function

Golden Ratio Search

Matlab backslash operator

Newton's Root Finding Method for Polynomials.

Linearly Spaced Sequences

Justify character vector

isempty Property

Polar Coordinate Plot (Matlab Style)

Linear Programming Solver

Anti-derivative of Polynomial

Hypotenuse Function

Angle between two subspaces

Lambert's W Function

Generate Permutations

Laplacian Operator

Legendre Functions (Matlab Style)

Nearest Symmetric Positive-definite Matrix

Matlab Compatibility

Kernel or Nullspace

Newton Method for Nonlinear Systems

Pascal Triangle

Create Random Matrices

Matrix Rotation

Infinite Integrals

Next Power of 2

Non-stiff (and stiff) ODE solvers

Steepest Descent Minimization

String Comparison

String Concatenation

Peaks Function (Matlab Style)

Plotting Two y-Axes

Area of a Polygon

Vectorized Integration

semilogx,semilogy

Semi-logarithmic Plots (Matlab Style)

Polylogarithm Function

Adaptive Simpson Quadrature

Format Distance Matrix (Matlab Style)

Evaluating a Polynomial

Gaussian Quadrature with Richardson Extrapolation

Matrix Square and p-th Roots

Standard Deviation (Matlab Style)

Converting string to number (Matlab style)

Ridders' Method

Find and replace substring

Adaptive Gauss-Kronrod Quadrature

Rational Interpolation

Soft (Inexact) Line Search

Savitzky-Golay Smoothing

Matrix Exponential

Triangular Matrices (Matlab Style)

Dirichlet Eta Function

Vector Cross Product

Matrix Flipping (Matlab Style)

Vector Field Plotting

ezcontour,ezmesh

Contour and Mesh Plotter

Exponential and Logarithmic Integral

Householder Reflections

Matrix Inverse (Matlab Style)

Matlab Test Functions

Numerically Evaluate Double and Triple Integrals

L1 Linear Regression

Interpolation by Kriging

Multi-exponential Fitting

Nile overflow data

Orthogonal Distance Regression

Fitting by Polynomial

Hermitean Interpolation Polynomials

Gaussian Triangle Quadrature

Bernoulli Numbers and Polynomials

Chebyshev Polynomials

Jacobi Eigenvalue Method

find function (Matlab Style)

Floating Point Relative Accuracy

Solve System of Nonlinear Equations

Lebesgue Constant

Muller's Method

Special Quadratic Programming Solver

Polynomial Roots

Segment Intersection

Toeplitz Matrix

Trapezoidal Integration

Remove leading and trailing white space.

Univariate Akima Interpolation

Matrix Condition

Evaluate ODE Solution

Interpolating Cubic Spline

GCD and LCM Integer Functions

One-dimensional Interpolation

Histogram Bin-width Optimization

Generate a Mesh Grid

geomean, harmmean

Geometric and Harmonic Mean (Matlab Style)

Linear Least-Squares Fitting

Integer Division

Rootfinding through Newton-Raphson or Secant.

Polynomial Approximation

Solving the Procrustes Problem

Random Combination

Taylor Series Approximation

cot,csc,sec, etc.

More Trigonometric Functions

Whittaker Smoothing

wilkinson Matrix