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pracma (version 1.5.5)

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

1.5.5

License

GPL (>= 3)

Maintainer

Last Published

September 15th, 2013

Functions in pracma (1.5.5)

clear, who(s), ver

Clear function (Matlab style)

clenshaw_curtis

Clenshaw-Curtis Quadrature Formula

Floating Point Relative Accuracy

Control Plot Devices (Matlab Style)

Histogram Bin-width Optimization

Two-dimensional Data Interpolation

Jacobian Matrix

Laguerre's Method

Nonlinear Least-Squares Fitting

Moving Average Filters

Newton's Root Finding Method for Polynomials.

Polynomial Approximation

Mode function (Matlab style)

Gaussian Quadrature with Richardson Extrapolation

Adaptive Lobatto Quadrature

Accuracy Measures

Runge-Kutta-Fehlberg

Matrix Rotation

String Comparison

String Concatenation

Basic Complex Functions

Finding Function Minimum

MATLAB timer functions

Rootfinding Through Bisection

Broyden's Method

Integer Functions (Matlab Style)

Whittaker Smoothing

Trigonometric Polynomial

Chebyshev Approximation

Utility functions (Matlab style)

Polynomial Convolution

Easy Function Plot

Complex Root Finding

Gauss-Newton Function Minimization

Golden Ratio Search

Givens Rotation

Householder Reflections

One-dimensional Interpolation

Approximate Entropy

Adams-Bashford-Moulton

isprime Property

Legendre Functions (Matlab Style)

Matrix Inverse (Matlab Style)

Univariate Akima Interpolation

Newton-Cotes Formulas

Univariate Global Optimization

Boundary Value Problems

Laplacian Operator

Matrix Flipping (Matlab Style)

Linear Least-Squares Fitting

Muller's Method

Nonzero Elements

Parametric Curve Fit

Fitting a Circle

Einstein Functions

Richardson's Numerical Derivative

Pseudoinverse or Generalized Inverse

Dirichlet Eta Function

Exponential and Logarithmic Integral

Generate Permutations

Fresnel Integrals

Adaptive Simpson Quadrature

Fibonacci Search

Hausdorff Distance

Evaluating a Polynomial

Hooke-Jeeves Method

isempty Property

Rational Interpolation

Replace string using regular expression

Iterative Methods

Segment Intersection

Standard Deviation (Matlab Style)

Soft (Inexact) Line Search

Gaussian Triangle Quadrature

Lebesgue Constant

Interpolation by Kriging

Trapezoidal Integration

LU Matrix Factorization

Log-linearly Spaced Sequences

Pade Approximation

Polar Coordinate Plot (Matlab Style)

Polylogarithm Function

Practical Numerical Math Routines

Print Polynomial

Infinite Integrals

Random Combination

Random Permutation

Rational Function Approximation

Generate Random Orthogogonal Matrix

Matrix Square and p-th Roots

Taylor Series Approximation

Justify character vector

Find and replace substring

Triangular Matrices (Matlab Style)

Tridiagonal Linear System Solver

Logical AND, OR (Matlab Style)

Elementwise Function Application (Matlab Style)

Coordinate Transformations

Matrix Condition

n-dimensional Vector Cross Product

Degrees to Radians

Interpolating Cubic Spline

Jacobi Eigenvalue Method

Some Basic Matrices

Minimum Finding

Gauss-Kronrod Quadrature

Matlab Test Functions

Binomial Coefficients

Nelder-Mead Minimization Method

Next Power of 2

Area of a Polygon

Estimated Matrix Norm

Rectangle Intersection Areas

Fitting by Polynomial

Ridders' Method

Reduced Row Echelon Form

Format Distance Matrix (Matlab Style)

Monotone (Shape-Preserving) Interpolation

Find Substrings

Toeplitz Matrix

Vector Field Plotting

Inverse Permutation

Arithmetic-geometric Mean

Brownian Motion

Chebyshev Polynomials

Evaluate ODE Solution

Eigenvalue Function (Matlab Style)

Matrix Exponential

Fornberg's Finite Difference Approximation

Hadamard Matrix

coth,csch,sech, etc.

More Hyperbolic Functions

K-means++ Clustering

Numerically Evaluate Double and Triple Integrals

Inverse Laplacian

Numerical Gradient

Linear Programming Solver

Hypotenuse Function

Matlab backslash operator

Generate a Mesh Grid

Nearest Symmetric Positive-definite Matrix

Piecewise Linear Function

Sigmoid Function

Riemann Zeta Function

geomean, harmmean

Geometric and Harmonic Mean (Matlab Style)

Elliptic and Jacobi Elliptic Integrals

Characteristic Polynomial

String of Blank Carakters

Remove Linear Trends

ezcontour,ezmesh

Contour and Mesh Plotter

find function (Matlab Style)

Plot Multivariate Function

Inverse Fast Fourier Transformation

Histogram Count (Matlab style)

L1 Linear Regression

Kernel or Nullspace

Hermitean Interpolation Polynomials

Neville's Method

Plotting Crosses

Derivative of Polynomial

Solving the Procrustes Problem

Quiver or Velocity Plot

2-d Gaussian Quadrature

Match regular expression

semilogx,semilogy

Semi-logarithmic Plots (Matlab Style)

Double Simpson Integration

Sorting Routines

Remove leading and trailing white space.

Vector Cross Product

Companion Matrix

Andrews' Curves

Accumulate Vector Elements

Block Diagonal Matrix

Generate Combinations

Complex Step Derivation

Double and Triple Integration

Directory Functions (Matlab style)

2-D Barycentric Lagrange Interpolation

Arc Length of a Curve

Barycentric Lagrange Interpolation

Event Detection in ODE solution

Crank-Nicolson Method

Find Cutting Points

Incomplete Gamma Function

Distance Matrix

Error Functions and Inverses (Matlab Style)

Euler-Heun ODE Solver

Find Interval Indices

Matrix Diagonal

Find All Minima

Numerical Differentiation

GCD and LCM Integer Functions

Gauss-Hermite Quadrature Formula

Solve System of Nonlinear Equations

Easy Polar Plot

Factorial Function

Gauss-Laguerre Quadrature Formula

Geometric Median

Adaptive Numerical Integration

Gauss-Legendre Quadrature Formula

Lambert's W Function

Kronecker product (Matlab Style)

Anti-derivative of Polynomial

Multiplying Polynomials

Romberg Integration

Complex Gamma Function

Linearly Spaced Sequences

Integer Division

Number of Dimensions

Plotting Two y-Axes

Adding Polynomials

Classical Runge-Kutta

Adaptive Gauss-Kronrod Quadrature

Matlab Compatibility

Peaks Function (Matlab Style)

Psi (Polygamma) Function

Polynomial Roots

Continuous Fractions (Matlab Style)

Adaptive Clenshaw-Curtis Quadrature

Segment Distance

Find overlapping regular expression matches.

Converting string to number (Matlab style)

Replicate Matrix

Pascal Triangle

Trigonometric Approximation

Polynomial Powers

cot,csc,sec, etc.

More Trigonometric Functions

wilkinson Matrix

Define Polynomial by Roots

Create Random Matrices

Savitzky-Golay Smoothing

Sort Rows of a Matrix (Matlab Style)

Titanium Test Data

Piecewise Polynomial Structures

Chebyshev Polynomials

Rootfinding through Newton-Raphson or Secant.

Newton Method for Nonlinear Systems

Number of Elements

Piecewise Polynomial Fit

Vectorized Integration

Adaptive Simpson Quadrature

Angle between two subspaces

steepest_descent

Steepest Descent

Brent-Dekker Root Finding Method

Generalized Minimal Residual Method

Plot Error Bars

fletcher-powell

Davidon-Fletcher-Powell Method

Discrete Gradient (Matlab Style)

Multi-exponential Fitting

Lagrange and Newtons Interpolation

Polynomial Transformation

Vandermonde matrix