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pracma (version 1.4.5)

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

1.4.5

License

GPL (>= 3)

Maintainer

Last Published

March 25th, 2013

Functions in pracma (1.4.5)

Broyden's Method

Polynomial Convolution

Error Functions and Inverses (Matlab Style)

Eigenvalue Function (Matlab Style)

fletcher-powell

Davidon-Fletcher-Powell Method

Find Interval Indices

Plot Multivariate Function

Histogram Count (Matlab style)

Univariate Akima Interpolation

Coordinate Transformations

clear, who(s), ver

Clear function (Matlab style)

Chebyshev Polynomials

Double and Triple Integration

Remove Linear Trends

Evaluate ODE Solution

Plot Error Bars

Find All Minima

Adams-Bashford-Moulton

Block Diagonal Matrix

Utility functions (Matlab style)

Barycentric Lagrange Interpolation

Arithmetic-geometric Mean

Laguerre's Method

String of Blank Carakters

Accumulate Vector Elements

Brownian Motion

Rootfinding Through Bisection

Gauss-Legendre Quadrature Formula

isprime Property

Complex Step Derivation

Hypotenuse Function

Companion Matrix

Matrix Condition

Jacobian Matrix

coth,csch,sech, etc.

More Hyperbolic Functions

Characteristic Polynomial

Log-linearly Spaced Sequences

Nonlinear Least-Squares Fitting

Nelder-Mead Minimization Method

Lagrange and Newtons Interpolation

clenshaw_curtis

Clenshaw-Curtis Quadrature Formula

Chebyshev Polynomials

Integer Division

Binomial Coefficients

Kernel or Nullspace

Number of Dimensions

Pseudoinverse or Generalized Inverse

Parametric Curve Fit

Jacobi Eigenvalue Method

Area of a Polygon

Richardson's Numerical Derivative

Easy Function Plot

Piecewise Polynomial Structures

Complex Root Finding

Newton-Cotes Formulas

Distance Matrix

n-dimensional Vector Cross Product

ezcontour,ezmesh

Contour and Mesh Plotter

Linear Least-Squares Fitting

Linearly Spaced Sequences

Euler-Heun ODE Solver

Elliptic and Jacobi Elliptic Integrals

Univariate Global Optimization

Crank-Nicolson Method

Dirichlet Eta Function

Matrix Exponential

Match regular expression

Finding Function Minimum

Continuous Fractions (Matlab Style)

Classical Runge-Kutta

Random Combination

find function (Matlab Style)

Minimum Finding

Pascal Triangle

Muller's Method

Matrix Flipping (Matlab Style)

Estimated Matrix Norm

Logical AND, OR (Matlab Style)

Gauss-Newton Function Minimization

Fitting by Polynomial

Runge-Kutta-Fehlberg

Taylor Series Approximation

Polynomial Approximation

Toeplitz Matrix

Brent-Dekker Root Finding Method

Adding Polynomials

Gauss-Kronrod Quadrature

2-D Barycentric Lagrange Interpolation

Piecewise Polynomial Fit

Fitting a Circle

Adaptive Gauss-Kronrod Quadrature

Degrees to Radians

Complex Gamma Function

Vectorized Integration

2-d Gaussian Quadrature

Infinite Integrals

Gaussian Quadrature with Richardson Extrapolation

Quiver or Velocity Plot

Vector Cross Product

Accuracy Measures

Einstein Functions

Replicate Matrix

Segment Intersection

Matrix Diagonal

Factorial Function

Incomplete Gamma Function

Givens Rotation

Gauss-Laguerre Quadrature Formula

Numerical Gradient

Hadamard Matrix

Justify character vector

Inverse Permutation

Discrete Gradient (Matlab Style)

Matrix Rotation

Hooke-Jeeves Method

Matrix Square and p-th Roots

Inverse Laplacian

Kronecker product (Matlab Style)

Lambert's W Function

Titanium Test Data

Iterative Methods

Converting string to number (Matlab style)

Mode function (Matlab style)

Angle between two subspaces

Remove leading and trailing white space.

Newton Method for Nonlinear Systems

Piecewise Linear Function

Trapezoidal Integration

Gauss-Hermite Quadrature Formula

Easy Polar Plot

Segment Distance

Laplacian Operator

Hausdorff Distance

Numerically Evaluate Double and Triple Integrals

Two-dimensional Data Interpolation

Linear Programming Solver

Inverse Fast Fourier Transformation

K-means++ Clustering

Pade Approximation

Print Polynomial

One-dimensional Interpolation

Plotting Two y-Axes

LU Matrix Factorization

geomean, harmmean

Geometric and Harmonic Mean (Matlab Style)

Multi-exponential Fitting

Anti-derivative of Polynomial

Plotting Crosses

Define Polynomial by Roots

Multiplying Polynomials

Evaluating a Polynomial

Ridders' Method

Sorting Routines

Monotone (Shape-Preserving) Interpolation

Rational Interpolation

Hermitean Interpolation Polynomials

Solving the Procrustes Problem

steepest_descent

Steepest Descent

Replace string using regular expression

Find overlapping regular expression matches.

Polynomial Roots

Triangular Matrices (Matlab Style)

Adaptive Simpson Quadrature

semilogx,semilogy

Semi-logarithmic Plots (Matlab Style)

Format Distance Matrix (Matlab Style)

String Comparison

Generate Random Orthogogonal Matrix

Find Substrings

MATLAB timer functions

Soft (Inexact) Line Search

String Concatenation

Practical Numerical Math Routines

Trigonometric Polynomial

Find and replace substring

Vandermonde matrix

Gaussian Triangle Quadrature

cot,csc,sec, etc.

More Trigonometric Functions

Riemann Zeta Function

Vector Field Plotting

wilkinson Matrix

Whittaker Smoothing

Basic Complex Functions

Integer Functions (Matlab Style)

Find Cutting Points

Generate Combinations

Directory Functions (Matlab style)

Approximate Entropy

Event Detection in ODE solution

Fresnel Integrals

Fornberg's Finite Difference Approximation

Solve System of Nonlinear Equations

Fibonacci Search

GCD and LCM Integer Functions

Matlab Test Functions

Adaptive Numerical Integration

Matlab backslash operator

isempty Property

Generate a Mesh Grid

Some Basic Matrices

Generate Permutations

Rootfinding through Newton-Raphson or Secant.

Nonzero Elements

Polylogarithm Function

Adaptive Clenshaw-Curtis Quadrature

Random Permutation

Create Random Matrices

Romberg Integration

Optimization Test Function

Sigmoid Function

Trigonometric Approximation

Tridiagonal Linear System Solver

Elementwise Function Application (Matlab Style)

Andrews' Curves

Boundary Value Problems

Chebyshev Approximation

Interpolating Cubic Spline

Exponential and Logarithmic Integral

Numerical Differentiation

Control Plot Devices (Matlab Style)

Golden Ratio Search

Householder Reflections

Matrix Inverse (Matlab Style)

Interpolation by Kriging

Lebesgue Constant

Neville's Method

Matlab Compatibility

Next Power of 2

Moving Average Filters

Newton's Root Finding Method for Polynomials.

Peaks Function (Matlab Style)

Number of Elements

Polar Coordinate Plot (Matlab Style)

Polynomial Powers

Derivative of Polynomial

Adaptive Simpson Quadrature

Polynomial Transformation

Adaptive Lobatto Quadrature

Rational Function Approximation

Reduced Row Echelon Form

Double Simpson Integration

Standard Deviation (Matlab Style)

Sort Rows of a Matrix (Matlab Style)

Savitzky-Golay Smoothing