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pracma (version 1.5.8)

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

1.5.8

License

GPL (>= 3)

Maintainer

Last Published

November 28th, 2013

Functions in pracma (1.5.8)

Block Diagonal Matrix

Characteristic Polynomial

Vector Cross Product

Generate Combinations

Matrix Exponential

ezcontour,ezmesh

Contour and Mesh Plotter

Einstein Functions

Numerical Gradient

Incomplete Gamma Function

Histogram Bin-width Optimization

isprime Property

Inverse Laplacian

Matlab Compatibility

Mode function (Matlab style)

Double and Triple Integration

Coordinate Transformations

Univariate Akima Interpolation

Floating Point Relative Accuracy

Easy Polar Plot

Nelder-Mead Minimization Method

Complex Gamma Function

Plot Error Bars

Exponential and Logarithmic Integral

Gauss-Newton Function Minimization

Lagrange and Newtons Interpolation

Histogram Count (Matlab style)

Brownian Motion

Elementwise Function Application (Matlab Style)

Ridders' Method

Directory Functions (Matlab style)

Event Detection in ODE solution

Univariate Global Optimization

Matrix Diagonal

Polynomial Roots

Monotone (Shape-Preserving) Interpolation

Fitting a Circle

The Runs Test, or Wald-Wolfowitz Test

Newton-Cotes Formulas

Interpolation by Kriging

Lambert's W Function

Dirichlet Eta Function

Nonlinear Least-Squares Fitting

Number of Dimensions

Nearest Symmetric Positive-definite Matrix

Finding Function Minimum

Numerically Evaluate Double and Triple Integrals

Matrix Flipping (Matlab Style)

Matrix Inverse (Matlab Style)

Golden Ratio Search

Rectangle Intersection Areas

Householder Reflections

Inverse Fast Fourier Transformation

L1 Linear Regression

Generate a Mesh Grid

Matlab backslash operator

Find overlapping regular expression matches.

Classical Runge-Kutta

Hypotenuse Function

Integer Division

Remove leading and trailing white space.

Geometric Median

Kernel or Nullspace

Peaks Function (Matlab Style)

Area of a Polygon

Polar Coordinate Plot (Matlab Style)

Polynomial Approximation

Derivative of Polynomial

Psi (Polygamma) Function

Adaptive Simpson Quadrature

2-d Gaussian Quadrature

Richardson's Numerical Derivative

Adaptive Lobatto Quadrature

Runge-Kutta-Fehlberg

Adaptive Gauss-Kronrod Quadrature

Adaptive Simpson Quadrature

Justify character vector

fletcher-powell

Davidon-Fletcher-Powell Method

Rational Interpolation

String Concatenation

Vector Field Plotting

Riemann Zeta Function

cot,csc,sec, etc.

More Trigonometric Functions

Solve System of Nonlinear Equations

Parametric Curve Fit

Linearly Spaced Sequences

Print Polynomial

Logical AND, OR (Matlab Style)

Arc Length of a Curve

Boundary Value Problems

Utility functions (Matlab style)

Evaluate ODE Solution

Elliptic and Jacobi Elliptic Integrals

Fresnel Integrals

Gauss-Laguerre Quadrature Formula

Complex Root Finding

LU Matrix Factorization

Estimated Matrix Norm

Orthogonal Distance Regression

Fitting by Polynomial

Pascal Triangle

Piecewise Polynomial Fit

Generate Random Orthogogonal Matrix

Format Distance Matrix (Matlab Style)

Find and replace substring

Double Simpson Integration

Triangular Matrices (Matlab Style)

Trigonometric Approximation

Rootfinding Through Bisection

String of Blank Carakters

Crank-Nicolson Method

Degrees to Radians

Approximate Entropy

Factorial Function

Generalized Minimal Residual Method

Hooke-Jeeves Method

Newton Method for Nonlinear Systems

Nonzero Elements

Newton's Root Finding Method for Polynomials.

Hermitean Interpolation Polynomials

Adding Polynomials

Piecewise Linear Function

Continuous Fractions (Matlab Style)

Random Permutation

Matrix Square and p-th Roots

Reduced Row Echelon Form

Replace string using regular expression

Angle between two subspaces

Toeplitz Matrix

Whittaker Smoothing

wilkinson Matrix

Barycentric Lagrange Interpolation

Binomial Coefficients

Sigmoid Function

Integer Functions (Matlab Style)

Matrix Condition

Polynomial Convolution

Eigenvalue Function (Matlab Style)

Control Plot Devices (Matlab Style)

Error Functions and Inverses (Matlab Style)

Complex Step Derivation

Gauss-Hermite Quadrature Formula

GCD and LCM Integer Functions

Multi-exponential Fitting

Muller's Method

Rootfinding through Newton-Raphson or Secant.

Pade Approximation

Generate Permutations

Define Polynomial by Roots

Solving the Procrustes Problem

Vectorized Integration

Segment Intersection

Taylor Series Approximation

Basic Complex Functions

Companion Matrix

clear, who(s), ver

Clear function (Matlab style)

clenshaw_curtis

Clenshaw-Curtis Quadrature Formula

Distance Matrix

Some Basic Matrices

Find Interval Indices

Fornberg's Finite Difference Approximation

Plot Multivariate Function

Gauss-Legendre Quadrature Formula

Discrete Gradient (Matlab Style)

Matlab Test Functions

Jacobian Matrix

Iterative Methods

Laplacian Operator

Polylogarithm Function

Random Combination

Gaussian Quadrature with Richardson Extrapolation

Adaptive Clenshaw-Curtis Quadrature

Create Random Matrices

Romberg Integration

Quiver or Velocity Plot

Sorting Routines

Rational Function Approximation

Titanium Test Data

MATLAB timer functions

Chebyshev Polynomials

Two-dimensional Data Interpolation

Find Cutting Points

Givens Rotation

Legendre Functions (Matlab Style)

Log-linearly Spaced Sequences

Polynomial Transformation

Polynomial Powers

Plotting Two y-Axes

Accuracy Measures

Brent-Dekker Root Finding Method

Chebyshev Polynomials

Gaussian Triangle Quadrature

Tridiagonal Linear System Solver

Match regular expression

Next Power of 2

Interpolating Cubic Spline

Hadamard Matrix

isempty Property

geomean, harmmean

Geometric and Harmonic Mean (Matlab Style)

Piecewise Polynomial Structures

Practical Numerical Math Routines

steepest_descent

Steepest Descent

Broyden's Method

Chebyshev Approximation

n-dimensional Vector Cross Product

Converting string to number (Matlab style)

Fibonacci Search

Remove Linear Trends

Hausdorff Distance

Inverse Permutation

Linear Least-Squares Fitting

Anti-derivative of Polynomial

semilogx,semilogy

Semi-logarithmic Plots (Matlab Style)

String Comparison

Savitzky-Golay Smoothing

Number of Elements

Infinite Integrals

Accumulate Vector Elements

Euler-Heun ODE Solver

Numerical Differentiation

Adaptive Numerical Integration

Moving Average Filters

Multiplying Polynomials

2-D Barycentric Lagrange Interpolation

One-dimensional Interpolation

Lebesgue Constant

Matrix Rotation

Sort Rows of a Matrix (Matlab Style)

Vandermonde matrix

Find Substrings

find function (Matlab Style)

Adams-Bashford-Moulton

Andrews' Curves

Gauss-Kronrod Quadrature

Easy Function Plot

Arithmetic-geometric Mean

Neville's Method

Kronecker product (Matlab Style)

Laguerre's Method

Plotting Crosses

coth,csch,sech, etc.

More Hyperbolic Functions

Linear Programming Solver

Soft (Inexact) Line Search

Standard Deviation (Matlab Style)

Evaluating a Polynomial

Segment Distance

Replicate Matrix

Trigonometric Polynomial

Jacobi Eigenvalue Method

Find All Minima

Trapezoidal Integration

Minimum Finding

Pseudoinverse or Generalized Inverse