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pracma (version 1.8.8)

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

1.8.8

License

GPL (>= 3)

Maintainer

Last Published

November 27th, 2015

Functions in pracma (1.8.8)

Univariate Akima Interpolation

Basic Complex Functions

Barycentric Lagrange Interpolation

Parametric Curve Fit

Find Cutting Points

Univariate Global Optimization

Event Detection in ODE solution

Find All Minima

Gauss-Laguerre Quadrature Formula

Inverse Fast Fourier Transformation

Two-dimensional Data Interpolation

Jacobian Matrix

Linearly Spaced Sequences

Lambert's W Function

L1 Linear Regression

Moving Average Filters

Mode function (Matlab style)

Nonzero Elements

Pascal Triangle

Define Polynomial by Roots

Solving the Procrustes Problem

Psi (Polygamma) Function

Angle between two subspaces

Titanium Test Data

Coordinate Transformations

Complex Step Derivatives

Interpolating Cubic Spline

Matrix Diagonal

Easy Polar Plot

Dirichlet Eta Function

Fibonacci Search

Minimum Finding

Fornberg's Finite Difference Approximation

Plot Multivariate Function

Gauss-Kronrod Quadrature

Complex Root Finding

Givens Rotation

Gauss-Newton Function Minimization

Generate a Mesh Grid

Matlab backslash operator

Estimated Matrix Norm

Anti-derivative of Polynomial

Practical Numerical Math Routines

Orthogonal Distance Regression

Create Random Matrices

Polynomial Transformation

semilogx,semilogy

Semi-logarithmic Plots (Matlab Style)

Reduced Row Echelon Form

Steepest Descent Minimization

Trapezoidal Integration

Find and replace substring

wilkinson Matrix

String of Blank Carakters

Euler-Heun ODE Solver

Easy Function Plot

Find Interval Indices

Gauss-Legendre Quadrature Formula

Elliptic and Jacobi Elliptic Integrals

Matrix Flipping (Matlab Style)

Histogram Count (Matlab style)

Hypotenuse Function

Hooke-Jeeves Minimization Method

Inverse Laplacian

Matrix Inverse (Matlab Style)

Bulirsch-Stoer Algorithm

Muller's Method

Integer Division

LU Matrix Factorization

Nearest Symmetric Positive-definite Matrix

Nonlinear Least-Squares Fitting

Fitting by Polynomial

Nile overflow data

Piecewise Linear Function

Adaptive Lobatto Quadrature

Replace string using regular expression

Random Combination

Match regular expression

Standard Deviation (Matlab Style)

Vandermonde matrix

Adams-Bashford-Moulton

Fitting a Circle

Arithmetic-geometric Mean

Chebyshev Approximation

Fresnel Integrals

Linear Least-Squares Fitting

Lagrange and Newtons Interpolation

Number of Dimensions

Pade Approximation

Print Polynomial

Richardson's Numerical Derivative

Plotting Two y-Axes

Infinite Integrals

Vectorized Integration

Segment Intersection

String Concatenation

Trigonometric Polynomial

Hermitean Interpolation Polynomials

Rootfinding Through Bisection

Boundary Value Problems

Binary Representation

Remove Linear Trends

n-dimensional Vector Cross Product

Eigenvalue Function (Matlab Style)

Hausdorff Distance

One-dimensional Interpolation

Laplacian Operator

Nelder-Mead Minimization

Pseudoinverse or Generalized Inverse

Rectangle Intersection Areas

Rational Function Approximation

Generate Random Orthogogonal Matrix

Adaptive Simpson Quadrature

Taylor Series Approximation

Format Distance Matrix (Matlab Style)

Savitzky-Golay Smoothing

Gaussian Triangle Quadrature

Chebyshev Polynomials

Accumulate Vector Elements

Chebyshev Polynomials

Directory Functions (Matlab style)

Generate Combinations

Newton-Cotes Formulas

Exponential and Logarithmic Integral

Distance Matrix

Solve System of Nonlinear Equations

Incomplete Gamma Function

Golden Ratio Search

Generalized Minimal Residual Method

isprime Property

Peaks Function (Matlab Style)

Number of Elements

Adaptive Simpson Quadrature

Special Quadratic Programming Solver

Gaussian Quadrature with Richardson Extrapolation

Evaluating a Polynomial

Soft (Inexact) Line Search

Monotone (Shape-Preserving) Interpolation

Segment Distance

Trigonometric Approximation

Vector Field Plotting

Broyden's Method

Arc Length of a Curve

Companion Matrix

Double Simpson Integration

Multiplying Polynomials

Accuracy Measures

Elementwise Function Application (Matlab Style)

Degrees to Radians

Double and Triple Integration

Plot Error Bars

Floating Point Relative Accuracy

ezcontour,ezmesh

Contour and Mesh Plotter

fletcher-powell

Davidon-Fletcher-Powell Method

GCD and LCM Integer Functions

Interpolation by Kriging

Laguerre's Method

Newton Method for Nonlinear Systems

Adding Polynomials

Adaptive Clenshaw-Curtis Quadrature

Adaptive Gauss-Kronrod Quadrature

Sigmoid Function

Remove leading and trailing white space.

Justify character vector

Classical Runge-Kutta

Tridiagonal Linear System Solver

Andrews' Curves

Utility functions (Matlab style)

2-D Barycentric Lagrange Interpolation

Block Diagonal Matrix

clear, who(s), ver

Clear function (Matlab style)

Polynomial Convolution

Crank-Nicolson Method

Brownian Motion

Some Basic Matrices

Einstein Functions

Factorial Function

Numerical Differentiation

find function (Matlab Style)

Matlab Test Functions

coth,csch,sech, etc.

More Hyperbolic Functions

isempty Property

Kronecker product (Matlab Style)

Numerical Gradient

Line integral (in the complex plane)

Neville's Method

Legendre Functions (Matlab Style)

Rootfinding through Newton-Raphson or Secant.

Log-linearly Spaced Sequences

Matlab Compatibility

Multi-exponential Fitting

Non-stiff (and stiff) ODE solvers

Generate Permutations

Area of a Polygon

Polynomial Approximation

Piecewise Polynomial Structures

Find overlapping regular expression matches.

Romberg Integration

Polynomial Roots

Matrix Rotation

Matrix Square and p-th Roots

Ridders' Method

Sorting Routines

Polar Coordinate Plot (Matlab Style)

Replicate Matrix

cot,csc,sec, etc.

More Trigonometric Functions

Finding Function Minimum

Vector Cross Product

Linear Programming Solver

Numerically Evaluate Double and Triple Integrals

Householder Reflections

clenshaw_curtis

Clenshaw-Curtis Quadrature Formula

Approximate and Sample Entropy

Lebesgue Constant

Matrix Exponential

Brent-Dekker Root Finding Algorithm

Gauss-Hermite Quadrature Formula

Halley's Root Finding Mathod

Integer Functions (Matlab Style)

Evaluate ODE Solution

Logical AND, OR (Matlab Style)

Geometric Median

Derivative of Polynomial

Next Power of 2

Binomial Coefficients

Triangular Matrices (Matlab Style)

Kernel or Nullspace

2-d Gaussian Quadrature

Histogram Bin-width Optimization

Error Functions and Inverses (Matlab Style)

Polynomial Powers

Newton's Root Finding Method for Polynomials.

Iterative Methods

Characteristic Polynomial

Find Substrings

Control Plot Devices (Matlab Style)

Rational Interpolation

Hadamard Matrix

Matrix Condition

Whittaker Smoothing

Adaptive Numerical Integration

Sort Rows of a Matrix (Matlab Style)

Polylogarithm Function

Piecewise Polynomial Fit

String Comparison

Discrete Gradient (Matlab Style)

Complex Gamma Function

Alternating Series Acceleration

Riemann Zeta Function

geomean, harmmean

Geometric and Harmonic Mean (Matlab Style)

Converting string to number (Matlab style)

Random Permutation

Continuous Fractions (Matlab Style)

Runge-Kutta-Fehlberg

Bernoulli Numbers and Polynomials

Jacobi Eigenvalue Method

Quiver or Velocity Plot

MATLAB timer functions

Toeplitz Matrix