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pracma (version 1.5.0)

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

70,072

Version

1.5.0

License

GPL (>= 3)

Maintainer

HwB

Last Published

August 9th, 2013

Functions in pracma (1.5.0)

Adams-Bashford-Moulton

Chebyshev Polynomials

Polynomial Convolution

Univariate Global Optimization

Double and Triple Integration

Jacobi Eigenvalue Method

Matrix Condition

Fibonacci Search

Find All Minima

Minimum Finding

Givens Rotation

Numerically Evaluate Double and Triple Integrals

Hooke-Jeeves Method

Interpolation by Kriging

Nelder-Mead Minimization Method

Newton Method for Nonlinear Systems

geomean, harmmean

Geometric and Harmonic Mean (Matlab Style)

Plotting Crosses

Polynomial Transformation

Accuracy Measures

Random Permutation

Rational Function Approximation

Polynomial Roots

Runge-Kutta-Fehlberg

Sigmoid Function

Justify character vector

Replace string using regular expression

Find Substrings

Trigonometric Polynomial

Barycentric Lagrange Interpolation

Brent-Dekker Root Finding Method

Boundary Value Problems

Vector Cross Product

Complex Root Finding

Solve System of Nonlinear Equations

Gauss-Laguerre Quadrature Formula

Laplacian Operator

Iterative Methods

Linearly Spaced Sequences

One-dimensional Interpolation

Moving Average Filters

Log-linearly Spaced Sequences

LU Matrix Factorization

Linear Least-Squares Fitting

Piecewise Linear Function

Create Random Matrices

Double Simpson Integration

Continuous Fractions (Matlab Style)

Savitzky-Golay Smoothing

Sorting Routines

Piecewise Polynomial Fit

Taylor Series Approximation

Triangular Matrices (Matlab Style)

Integer Functions (Matlab Style)

Accumulate Vector Elements

Andrews' Curves

Find Cutting Points

Degrees to Radians

Distance Matrix

Evaluate ODE Solution

Eigenvalue Function (Matlab Style)

Event Detection in ODE solution

Floating Point Relative Accuracy

Utility functions (Matlab style)

Error Functions and Inverses (Matlab Style)

find function (Matlab Style)

Numerical Differentiation

Gauss-Newton Function Minimization

Householder Reflections

Inverse Laplacian

Hypotenuse Function

Matlab backslash operator

Matlab Compatibility

Mode function (Matlab style)

Next Power of 2

Pade Approximation

Nearest Symmetric Positive-definite Matrix

Practical Numerical Math Routines

Random Combination

semilogx,semilogy

Semi-logarithmic Plots (Matlab Style)

Segment Intersection

Replicate Matrix

String Concatenation

Matrix Square and p-th Roots

Angle between two subspaces

Directory Functions (Matlab style)

clear, who(s), ver

Clear function (Matlab style)

Crank-Nicolson Method

Parametric Curve Fit

Newton-Cotes Formulas

Remove Linear Trends

fletcher-powell

Davidon-Fletcher-Powell Method

Arithmetic-geometric Mean

2-D Barycentric Lagrange Interpolation

Block Diagonal Matrix

Companion Matrix

Discrete Gradient (Matlab Style)

Matrix Diagonal

Kernel or Nullspace

Exponential and Logarithmic Integral

Kronecker product (Matlab Style)

Easy Polar Plot

Elliptic and Jacobi Elliptic Integrals

Richardson's Numerical Derivative

ezcontour,ezmesh

Contour and Mesh Plotter

Fornberg's Finite Difference Approximation

Gauss-Kronrod Quadrature

Matlab Test Functions

K-means++ Clustering

Generate Permutations

Hadamard Matrix

Fitting by Polynomial

Linear Programming Solver

Matrix Inverse (Matlab Style)

Quiver or Velocity Plot

Lebesgue Constant

Integer Division

Inverse Fast Fourier Transformation

Number of Elements

Polar Coordinate Plot (Matlab Style)

Ridders' Method

Generate Combinations

Characteristic Polynomial

Rational Interpolation

Polynomial Approximation

Define Polynomial by Roots

Some Basic Matrices

Hermitean Interpolation Polynomials

Soft (Inexact) Line Search

Titanium Test Data

Anti-derivative of Polynomial

MATLAB timer functions

Solving the Procrustes Problem

Psi (Polygamma) Function

Univariate Akima Interpolation

Find overlapping regular expression matches.

Logical AND, OR (Matlab Style)

Fresnel Integrals

Vectorized Integration

Segment Distance

Lambert's W Function

Monotone (Shape-Preserving) Interpolation

Gauss-Hermite Quadrature Formula

Finding Function Minimum

Complex Gamma Function

Chebyshev Approximation

Sort Rows of a Matrix (Matlab Style)

Rootfinding Through Bisection

Numerical Gradient

Format Distance Matrix (Matlab Style)

String of Blank Carakters

Elementwise Function Application (Matlab Style)

Histogram Bin-width Optimization

Chebyshev Polynomials

Fitting a Circle

steepest_descent

Steepest Descent

Find and replace substring

Euler-Heun ODE Solver

coth,csch,sech, etc.

More Hyperbolic Functions

Vandermonde matrix

Inverse Permutation

Approximate Entropy

Dirichlet Eta Function

Laguerre's Method

Number of Dimensions

Multi-exponential Fitting

Nonlinear Least-Squares Fitting

Neville's Method

Plot Multivariate Function

Nonzero Elements

Generalized Minimal Residual Method

Classical Runge-Kutta

Binomial Coefficients

GCD and LCM Integer Functions

Plotting Two y-Axes

Incomplete Gamma Function

Golden Ratio Search

Converting string to number (Matlab style)

Gaussian Quadrature with Richardson Extrapolation

Evaluating a Polynomial

Hausdorff Distance

cot,csc,sec, etc.

More Trigonometric Functions

isempty Property

Whittaker Smoothing

Adaptive Gauss-Kronrod Quadrature

Tridiagonal Linear System Solver

Generate a Mesh Grid

Reduced Row Echelon Form

Generate Random Orthogogonal Matrix

Pascal Triangle

String Comparison

Lagrange and Newtons Interpolation

Riemann Zeta Function

Newton's Root Finding Method for Polynomials.

Trapezoidal Integration

Plot Error Bars

Factorial Function

Find Interval Indices

Two-dimensional Data Interpolation

Gauss-Legendre Quadrature Formula

Adaptive Numerical Integration

Pseudoinverse or Generalized Inverse

Print Polynomial

Peaks Function (Matlab Style)

Area of a Polygon

Adding Polynomials

Adaptive Lobatto Quadrature

Infinite Integrals

Matrix Rotation

Adaptive Simpson Quadrature

Remove leading and trailing white space.

Standard Deviation (Matlab Style)

Basic Complex Functions

Coordinate Transformations

clenshaw_curtis

Clenshaw-Curtis Quadrature Formula

Broyden's Method

Brownian Motion

Complex Step Derivation

Interpolating Cubic Spline

n-dimensional Vector Cross Product

Einstein Functions

Matrix Exponential

Easy Function Plot

Control Plot Devices (Matlab Style)

Matrix Flipping (Matlab Style)

Histogram Count (Matlab style)

isprime Property

Jacobian Matrix

Muller's Method

Estimated Matrix Norm

Rootfinding through Newton-Raphson or Secant.

Polylogarithm Function

Multiplying Polynomials

2-d Gaussian Quadrature

Derivative of Polynomial

Polynomial Powers

Piecewise Polynomial Structures

Adaptive Clenshaw-Curtis Quadrature

Adaptive Simpson Quadrature

Match regular expression

Romberg Integration

Trigonometric Approximation

Toeplitz Matrix

Vector Field Plotting

wilkinson Matrix

Gaussian Triangle Quadrature