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pracma (version 1.3.8)

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

87,555

Version

1.3.8

License

GPL-3

Maintainer

HwB

Last Published

January 11th, 2013

Functions in pracma (1.3.8)

Evaluate ODE Solution

Euler-Heun ODE Solver

Plot Error Bars

ezcontour,ezmesh

Contour and Mesh Plotter

Golden Ratio Search

find function (Matlab Style)

Discrete Gradient (Matlab Style)

Inverse Fast Fourier Transformation

Laplacian Operator

Log-linearly Spaced Sequences

geomean, harmmean

Geometric and Harmonic Mean (Matlab Style)

Richardson's Numerical Derivative

Adaptive Simpson Quadrature

Quiver or Velocity Plot

Match regular expression

Matrix Rotation

Reduced Row Echelon Form

Sorting Routines

steepest_descent

Steepest Descent

Sort Rows of a Matrix (Matlab Style)

Converting string to number (Matlab style)

Trapezoidal Integration

Gaussian Triangle Quadrature

Accumulate Vector Elements

Basic Complex Functions

Barycentric Lagrange Interpolation

Complex Step Derivation

Broyden's Method

Crank-Nicolson Method

Degrees to Radians

Matrix Diagonal

Matrix Exponential

Univariate Akima Interpolation

Block Diagonal Matrix

Rootfinding Through Bisection

Chebyshev Polynomials

Remove Linear Trends

Polynomial Convolution

Approximate Entropy

Fibonacci Search

Exponential and Logarithmic Integral

Event Detection in ODE solution

Minimum Finding

Incomplete Gamma Function

Lambert's W Function

Matrix Flipping (Matlab Style)

Derivative of Polynomial

Pseudoinverse or Generalized Inverse

Polylogarithm Function

Plot Multivariate Function

Hadamard Matrix

Complex Root Finding

Interpolation by Kriging

Generate a Mesh Grid

Multi-exponential Fitting

Hermitean Interpolation Polynomials

Kernel or Nullspace

Polynomial Transformation

Adding Polynomials

Solving the Procrustes Problem

Piecewise Polynomial Fit

Replicate Matrix

Runge-Kutta-Fehlberg

Polynomial Roots

Segment Intersection

Replace string using regular expression

Ridders' Method

Generate Random Orthogogonal Matrix

Find Substrings

Toeplitz Matrix

Classical Runge-Kutta

String Comparison

Whittaker Smoothing

semilogx,semilogy

Semi-logarithmic Plots (Matlab Style)

Optimization Test Function

Taylor Series Approximation

wilkinson Matrix

Rational Interpolation

K-means++ Clustering

Brownian Motion

Generate Combinations

Vector Cross Product

Parametric Curve Fit

Eigenvalue Function (Matlab Style)

n-dimensional Vector Cross Product

Find Cutting Points

Jacobi Eigenvalue Method

Easy Polar Plot

Fornberg's Finite Difference Approximation

Gauss-Kronrod Quadrature

Muller's Method

Lagrange and Newtons Interpolation

Moving Average Filters

Estimated Matrix Norm

Newton Method for Nonlinear Systems

Number of Elements

Pascal Triangle

Pade Approximation

Fitting by Polynomial

Anti-derivative of Polynomial

Double Simpson Integration

Gaussian Quadrature with Richardson Extrapolation

Riemann Zeta Function

Triangular Matrices (Matlab Style)

Directory Functions (Matlab style)

String Concatenation

Hypotenuse Function

Coordinate Transformations

Utility functions (Matlab style)

Matrix Condition

Fitting a Circle

Adams-Bashford-Moulton

Distance Matrix

Univariate Global Optimization

Control Plot Devices (Matlab Style)

String of Blank Carakters

Elementwise Function Application (Matlab Style)

Matrix Inverse (Matlab Style)

Andrews' Curves

Integer Functions (Matlab Style)

Characteristic Polynomial

clear, who(s), ver

Clear function (Matlab style)

Binomial Coefficients

Error Functions and Inverses (Matlab Style)

Nonlinear Least-Squares Fitting

Double Integration

Newton-Cotes Formulas

Nelder-Mead Minimization Method

Define Polynomial by Roots

Generate Permutations

Dirichlet Eta Function

Plotting Crosses

Area of a Polygon

Finding Function Minimum

Evaluating a Polynomial

Solve System of Nonlinear Equations

fletcher-powell

Davidon-Fletcher-Powell Method

coth,csch,sech, etc.

More Hyperbolic Functions

Gauss-Hermite Quadrature Formula

Random Combination

One-dimensional Interpolation

Inverse Laplacian

Monotone (Shape-Preserving) Interpolation

Number of Dimensions

Polar Coordinate Plot (Matlab Style)

Vandermonde matrix

isprime Property

Peaks Function (Matlab Style)

Piecewise Polynomial Structures

Adaptive Gauss-Kronrod Quadrature

Vectorized Integration

Matrix Square and p-th Roots

Standard Deviation (Matlab Style)

MATLAB timer functions

cot,csc,sec, etc.

More Trigonometric Functions

Trigonometric Polynomial

Create Random Matrices

Companion Matrix

Interpolating Cubic Spline

Chebyshev Polynomials

Easy Function Plot

Matlab backslash operator

Neville's Method

Next Power of 2

Polynomial Powers

Practical Numerical Math Routines

2-d Gaussian Quadrature

Titanium Test Data

Print Polynomial

2-D Barycentric Lagrange Interpolation

Elliptic and Jacobi Elliptic Integrals

Find Interval Indices

GCD and LCM Integer Functions

Hausdorff Distance

Histogram Count (Matlab style)

Householder Reflections

Mode function (Matlab style)

Matlab Compatibility

Nonzero Elements

Laguerre's Method

Sigmoid Function

Polynomial Approximation

Adaptive Lobatto Quadrature

Find overlapping regular expression matches.

Soft (Inexact) Line Search

Find and replace substring

Boundary Value Problems

Arithmetic-geometric Mean

Some Basic Matrices

Chebyshev Approximation

Logical AND, OR (Matlab Style)

clenshaw_curtis

Clenshaw-Curtis Quadrature Formula

Factorial Function

Gauss-Laguerre Quadrature Formula

Complex Gamma Function

Gauss-Newton Function Minimization

Numerical Gradient

Two-dimensional Data Interpolation

Hooke-Jeeves Method

isempty Property

Integer Division

Rootfinding through Newton-Raphson or Secant.

Multiplying Polynomials

Random Permutation

Rational Function Approximation

Infinite Integrals

Romberg Integration

Savitzky-Golay Smoothing

Remove leading and trailing white space.

Adaptive Simpson Quadrature

Accuracy Measures

Segment Distance

Trigonometric Approximation

Brent-Dekker Root Finding Method

Einstein Functions

Numerical Differentiation

Find All Minima

Gauss-Legendre Quadrature Formula

Givens Rotation

Fresnel Integrals

Matlab Test Functions

Jacobian Matrix

Inverse Permutation

Kronecker product (Matlab Style)

Lebesgue Constant

Linear Least-Squares Fitting

Linearly Spaced Sequences

Newton's Root Finding Method for Polynomials.

Piecewise Linear Function

Continuous Fractions (Matlab Style)

Plotting Two y-Axes

Angle between two subspaces

Justify character vector

Tridiagonal Linear System Solver

Vector Field Plotting