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pracma (version 1.8.3)

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

88,507

Version

1.8.3

License

GPL (>= 3)

Maintainer

HwB

Last Published

February 8th, 2015

Functions in pracma (1.8.3)

String of Blank Carakters

Utility functions (Matlab style)

Broyden's Method

Solve System of Nonlinear Equations

Hooke-Jeeves Minimization Method

isprime Property

Legendre Functions (Matlab Style)

Generate a Mesh Grid

Polynomial Powers

Peaks Function (Matlab Style)

Generate Permutations

Random Combination

Adaptive Gauss-Kronrod Quadrature

Rational Interpolation

Segment Intersection

Polynomial Roots

Format Distance Matrix (Matlab Style)

Gauss-Hermite Quadrature Formula

GCD and LCM Integer Functions

Logical AND, OR (Matlab Style)

Directory Functions (Matlab style)

Chebyshev Approximation

Arc Length of a Curve

Vector Cross Product

Polynomial Convolution

Remove Linear Trends

Degrees to Radians

Floating Point Relative Accuracy

Easy Polar Plot

Complex Root Finding

Fresnel Integrals

Inverse Laplacian

Two-dimensional Data Interpolation

LU Matrix Factorization

Multi-exponential Fitting

Muller's Method

Bulirsch-Stoer Algorithm

Newton's Root Finding Method for Polynomials.

Rootfinding through Newton-Raphson or Secant.

Lagrange and Newtons Interpolation

Print Polynomial

Fitting by Polynomial

Piecewise Polynomial Fit

Match regular expression

Sigmoid Function

String Comparison

Sort Rows of a Matrix (Matlab Style)

Find Substrings

Vector Field Plotting

Basic Complex Functions

Univariate Akima Interpolation

2-D Barycentric Lagrange Interpolation

Chebyshev Polynomials

Parametric Curve Fit

Coordinate Transformations

Geometric Median

Matlab Test Functions

Householder Reflections

Interpolation by Kriging

Inverse Permutation

Numerically Evaluate Double and Triple Integrals

Kronecker product (Matlab Style)

Linear Programming Solver

Binomial Coefficients

Inverse Fast Fourier Transformation

Pascal Triangle

Piecewise Linear Function

Adaptive Simpson Quadrature

Find overlapping regular expression matches.

Converting string to number (Matlab style)

Standard Deviation (Matlab Style)

Trapezoidal Integration

Triangular Matrices (Matlab Style)

Gaussian Triangle Quadrature

Companion Matrix

ezcontour,ezmesh

Contour and Mesh Plotter

Euler-Heun ODE Solver

Jacobi Eigenvalue Method

Numerical Differentiation

Gauss-Legendre Quadrature Formula

Complex Gamma Function

Numerical Gradient

Iterative Methods

Jacobian Matrix

L1 Linear Regression

Moving Average Filters

Neville's Method

Matlab backslash operator

Matlab Compatibility

Estimated Matrix Norm

Plotting Two y-Axes

Define Polynomial by Roots

Polar Coordinate Plot (Matlab Style)

Area of a Polygon

Special Quadratic Programming Solver

Rectangle Intersection Areas

Classical Runge-Kutta

Double Simpson Integration

wilkinson Matrix

Kernel or Nullspace

Alternating Series Acceleration

Toeplitz Matrix

Adams-Bashford-Moulton

clenshaw_curtis

Clenshaw-Curtis Quadrature Formula

Event Detection in ODE solution

Evaluate ODE Solution

Plot Error Bars

find function (Matlab Style)

Control Plot Devices (Matlab Style)

Matrix Flipping (Matlab Style)

Finding Function Minimum

Mode function (Matlab style)

Nearest Symmetric Positive-definite Matrix

Richardson's Numerical Derivative

Hermitean Interpolation Polynomials

Number of Elements

Gaussian Quadrature with Richardson Extrapolation

Adaptive Clenshaw-Curtis Quadrature

Create Random Matrices

Rational Function Approximation

Polynomial Transformation

Savitzky-Golay Smoothing

Find and replace substring

Vectorized Integration

Taylor Series Approximation

Whittaker Smoothing

Arithmetic-geometric Mean

Barycentric Lagrange Interpolation

Newton-Cotes Formulas

Eigenvalue Function (Matlab Style)

Einstein Functions

Easy Function Plot

Minimum Finding

Gauss-Kronrod Quadrature

Find All Minima

Accumulate Vector Elements

Characteristic Polynomial

clear, who(s), ver

Clear function (Matlab style)

Matrix Condition

Error Functions and Inverses (Matlab Style)

Univariate Global Optimization

Crank-Nicolson Method

Fibonacci Search

Factorial Function

Find Interval Indices

Approximate and Sample Entropy

fletcher-powell

Davidon-Fletcher-Powell Method

Generalized Minimal Residual Method

isempty Property

Linear Least-Squares Fitting

Non-stiff (and stiff) ODE solvers

Matrix Rotation

Soft (Inexact) Line Search

Romberg Integration

semilogx,semilogy

Semi-logarithmic Plots (Matlab Style)

Adaptive Simpson Quadrature

Justify character vector

Titanium Test Data

Generate Random Orthogogonal Matrix

Trigonometric Approximation

Remove leading and trailing white space.

Riemann Zeta Function

Hausdorff Distance

coth,csch,sech, etc.

More Hyperbolic Functions

Andrews' Curves

Rootfinding Through Bisection

Brent-Dekker Root Finding Algorithm

Binary Representation

Complex Step Derivatives

Brownian Motion

n-dimensional Vector Cross Product

Block Diagonal Matrix

Double and Triple Integration

Matrix Exponential

Givens Rotation

Hadamard Matrix

Lebesgue Constant

Nonlinear Least-Squares Fitting

geomean, harmmean

Geometric and Harmonic Mean (Matlab Style)

Integer Division

Nelder-Mead Minimization

Polylogarithm Function

Accuracy Measures

Monotone (Shape-Preserving) Interpolation

Steepest Descent Minimization

Trigonometric Polynomial

Tridiagonal Linear System Solver

Vandermonde matrix

String Concatenation

Angle between two subspaces

Matrix Diagonal

Golden Ratio Search

Laguerre's Method

Line integral (in the complex plane)

Linearly Spaced Sequences

Nonzero Elements

Number of Dimensions

Evaluating a Polynomial

Psi (Polygamma) Function

Random Permutation

Reduced Row Echelon Form

Continuous Fractions (Matlab Style)

Boundary Value Problems

Discrete Gradient (Matlab Style)

Distance Matrix

Integer Functions (Matlab Style)

Chebyshev Polynomials

Generate Combinations

Plot Multivariate Function

Elementwise Function Application (Matlab Style)

Find Cutting Points

Adaptive Numerical Integration

Incomplete Gamma Function

Histogram Bin-width Optimization

Fornberg's Finite Difference Approximation

Interpolating Cubic Spline

Fitting a Circle

Elliptic and Jacobi Elliptic Integrals

Some Basic Matrices

One-dimensional Interpolation

Matrix Inverse (Matlab Style)

Gauss-Laguerre Quadrature Formula

Exponential and Logarithmic Integral

Hypotenuse Function

Dirichlet Eta Function

Infinite Integrals

Newton Method for Nonlinear Systems

Adding Polynomials

Laplacian Operator

Next Power of 2

Halley's Root Finding Mathod

Lambert's W Function

Nile overflow data

Orthogonal Distance Regression

Runge-Kutta-Fehlberg

Log-linearly Spaced Sequences

Adaptive Lobatto Quadrature

Practical Numerical Math Routines

Anti-derivative of Polynomial

Gauss-Newton Function Minimization

Polynomial Approximation

Pade Approximation

Replicate Matrix

Histogram Count (Matlab style)

Solving the Procrustes Problem

Derivative of Polynomial

Quiver or Velocity Plot

cot,csc,sec, etc.

More Trigonometric Functions

Pseudoinverse or Generalized Inverse

Multiplying Polynomials

Ridders' Method

Sorting Routines

Replace string using regular expression

Matrix Square and p-th Roots

Segment Distance

Piecewise Polynomial Structures

2-d Gaussian Quadrature

MATLAB timer functions