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pracma (version 1.9.9)

Practical Numerical Math Functions

Description

Provides a large number of functions from numerical analysis and linear algebra, numerical optimization, differential equations, time series, plus some well-known special mathematical functions. Uses 'MATLAB' function names where appropriate to simplify porting.

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Version

Install

install.packages('pracma')

Monthly Downloads

109,152

Version

1.9.9

License

GPL (>= 3)

Maintainer

Last Published

January 11th, 2017

Functions in pracma (1.9.9)

abm3pc

Adams-Bashford-Moulton
akimaInterp

Univariate Akima Interpolation
aitken

Aitken' Method
barylag2d

2-D Barycentric Lagrange Interpolation
and, or

Logical AND, OR (Matlab Style)
andrewsplot

Andrews' Curves
barylag

Barycentric Lagrange Interpolation
arclength

Arc Length of a Curve
angle

Basic Complex Functions
accumarray

Accumulate Vector Elements
disp,beep

Utility functions (Matlab style)
bisect

Rootfinding Through Bisection
brown72

Brownian Motion
chebCoeff

Chebyshev Polynomials
blkdiag

Block Diagonal Matrix
brentDekker

Brent-Dekker Root Finding Algorithm
chebPoly

Chebyshev Polynomials
broyden

Broyden's Method
crossn

n-dimensional Vector Cross Product
cross

Vector Cross Product
deval

Evaluate ODE Solution
Diag

Matrix Diagonal
clenshaw_curtis

Clenshaw-Curtis Quadrature Formula
combs

Generate Combinations
detrend

Remove Linear Trends
deg2rad

Degrees to Radians
approx_entropy

Approximate and Sample Entropy
eigjacobi

Jacobi Eigenvalue Method
eps

Floating Point Relative Accuracy
ezpolar

Easy Polar Plot
fibsearch

Fibonacci Search
erf

Error Functions and Inverses (Matlab Style)
fractalcurve

Fractal Curves
fprintf

Formatted Printing (Matlab style)
figure

Control Plot Devices (Matlab Style)
gcd, lcm

GCD and LCM Integer Functions
gaussNewton

Gauss-Newton Function Minimization
hausdorff_dist

Hausdorff Distance
householder

Householder Reflections
haversine

Haversine Formula
humps

Matlab Test Functions
interp2

Two-dimensional Data Interpolation
cd, pwd, what

Directory Functions (Matlab style)
blanks

String of Blank Carakters
bits

Binary Representation
cond

Matrix Condition
ceil

Integer Functions (Matlab Style)
conv

Polynomial Convolution
fact

Factorial Function
findmins

Find All Minima
findpeaks

Find Peaks
gmres

Generalized Minimal Residual Method
hooke_jeeves

Hooke-Jeeves Minimization Method
golden_ratio

Golden Ratio Search
inv

Matrix Inverse (Matlab Style)
horner

Horner's Rule
itersolve

Iterative Methods
isprime

isprime Property
linspace

Linearly Spaced Sequences
logspace

Log-linearly Spaced Sequences
meshgrid

Generate a Mesh Grid
circlefit

Fitting a Circle
cotes

Newton-Cotes Formulas
clear, who(s), ver

Clear function (Matlab style)
direct1d

Univariate Global Optimization
distmat

Distance Matrix
cranknic

Crank-Nicolson Method
cubicspline

Interpolating Cubic Spline
curvefit

Parametric Curve Fit
deconv

Deconvolution
deeve

Event Detection in ODE solution
bulirsch-stoer

Bulirsch-Stoer Algorithm
euler_heun

Euler-Heun ODE Solver
eye

Some Basic Matrices
factors

Prime Factors
normest

Estimated Matrix Norm
newtonInterp

Lagrange and Newtons Interpolation
newtonHorner

Newton's Root Finding Method for Polynomials.
nthroot

Real nth Root
pade

Pade Approximation
pascal

Pascal Triangle
polyApprox

Polynomial Approximation
polyarea

Area of a Polygon
pracma-package

Practical Numerical Math Routines
fderiv

Numerical Differentiation
primes

Prime Numbers
findzeros

Find All Roots
quad2d

2-d Gaussian Quadrature
geo_median

Geometric Median
flipdim

Matrix Flipping (Matlab Style)
givens

Givens Rotation
hampel

Hampel Filter
kron

Kronecker product (Matlab Style)
hankel

Hankel Matrix
L1linreg

L1 Linear Regression
bsxfun

Elementwise Function Application (Matlab Style)
charpoly

Characteristic Polynomial
cart2sph

Coordinate Transformations
chebApprox

Chebyshev Approximation
compan

Companion Matrix
complexstep

Complex Step Derivatives
cutpoints

Find Cutting Points
dblquad

Double and Triple Integration
fnorm

Function Norm
fornberg

Fornberg's Finite Difference Approximation
hadamard

Hadamard Matrix
legendre

Legendre Functions (Matlab Style)
fzero

Root Finding
fsolve

Solve System of Nonlinear Equations
line_integral

Line integral (in the complex plane)
mldivide

Matlab backslash operator
mod, rem

Integer Division
nextpow2

Next Power of 2
nile

Nile overflow data
dot

Scalar Product
eig

Eigenvalue Function (Matlab Style)
findintervals

Find Interval Indices
finds

find function (Matlab Style)
fminbnd

Finding Function Minimum
fminsearch

Minimum Finding
gammaz

Complex Gamma Function
fzsolve

Complex Root Finding
histc

Histogram Count (Matlab style)
histss

Histogram Bin-width Optimization
isempty

isempty Property
invlap

Inverse Laplacian
lu

LU Matrix Factorization
nchoosek

Binomial Coefficients
magic

Magic Square
ndims

Number of Dimensions
nnz

Nonzero Elements
Norm

Vector Norm
integral2

Numerically Evaluate Double and Triple Integrals
interp1

One-dimensional Interpolation
laguerre

Laguerre's Method
lambertWp

Lambert's W Function
lsqlin

Linear Least-Squares Fitting
lsqlincon

Linear Least-Squares Fitting with linear constraints
halley

Halley's Root Finding Mathod
Mode

Mode function (Matlab style)
coth,csch,sech, etc.

More Hyperbolic Functions
hurstexp

Hurst Exponent
inpolygon

Polygon Region
integral

Adaptive Numerical Integration
laplacian

Laplacian Operator
moler

Moler Matrix
lebesgue

Lebesgue Constant
newtonsys

Newton Method for Nonlinear Systems
newtonRaphson

Rootfinding through Newton-Raphson or Secant.
numel

Number of Elements
ode23

Non-stiff (and stiff) ODE solvers
plotyy

Plotting Two y-Axes
pinv

Pseudoinverse or Generalized Inverse
polyadd

Adding Polynomials
poly2str

Print Polynomial
quadv

Vectorized Integration
repmat

Replicate Matrix
quiver

Quiver or Velocity Plot
pchip

Hermitean Interpolation Polynomials
Reshape

Reshape Matrix
peaks

Peaks Function (Matlab Style)
polytrans

Polynomial Transformation
polypow

Polynomial Powers
ppval

Piecewise Polynomial Structures
quadinf

Infinite Integrals
ppfit

Piecewise Polynomial Fit
quadl

Adaptive Lobatto Quadrature
regexprep

Replace string using regular expression
regexp

Match regular expression
roots

Polynomial Roots
rosser

Rosser Matrix
orth

Range Space
odregress

Orthogonal Distance Regression
perms

Generate Permutations
piecewise

Piecewise Linear Function
polymul

Multiplying Polynomials
polyint

Anti-derivative of Polynomial
qrSolve

LSE Solution
errorbar

Plot Error Bars
eta

Dirichlet Eta Function
ezcontour,ezsurf,ezmesh

Contour, Surface, and Mesh Plotter
gauss_kronrod

Gauss-Kronrod Quadrature
ezplot

Easy Function Plot
gaussLegendre

Gauss-Legendre Quadrature Formula
quadcc

Adaptive Clenshaw-Curtis Quadrature
simpadpt

Adaptive Simpson Quadrature
randperm

Random Permutation
randortho

Generate Random Orthonormal or Unitary Matrix
softline

Soft (Inexact) Line Search
simpson2d

Double Simpson Integration
matlab

Matlab Compatibility
geomean, harmmean

Geometric and Harmonic Mean (Matlab Style)
nearest_spd

Nearest Symmetric Positive-definite Matrix
nelder_mead

Nelder-Mead Minimization
pow2

Base 2 Power
randcomb

Random Combination
rand

Create Random Matrices
polyval

Evaluating a Polynomial
quad

Adaptive Simpson Quadrature
ratinterp

Rational Interpolation
rationalfit

Rational Function Approximation
rot90

Matrix Rotation
runge

Runge Function
rref

Reduced Row Echelon Form
spinterp

Monotone (Shape-Preserving) Interpolation
sortrows

Sort Rows of a Matrix (Matlab Style)
savgol

Savitzky-Golay Smoothing
taylor

Taylor Series Approximation
sumalt

Alternating Series Acceleration
trapz

Trapezoidal Integration
gradient

Discrete Gradient (Matlab Style)
ifft

Inverse Fast Fourier Transformation
gramSchmidt

Gram-Schmidt
hilb

Hilbert Matrix
hypot

Hypotenuse Function
hessian

Hessian Matrix
triquad

Gaussian Triangle Quadrature
jacobian

Jacobian Matrix
trisolve

Tridiagonal Linear System Solver
neville

Neville's Method
muller

Muller's Method
kriging

Interpolation by Kriging
nullspace

Kernel or Nullspace
newmark

Newmark Method
movavg

Moving Average Filters
numderiv

Richardson's Numerical Derivative
polar

Polar Coordinate Plot (Matlab Style)
Poly

Define Polynomial by Roots
polyder

Derivative of Polynomial
polyfit,polyfix

Fitting by Polynomial
qpspecial

Special Quadratic Programming Solver
quadgk

Adaptive Gauss-Kronrod Quadrature
procrustes

Solving the Procrustes Problem
quadgr

Gaussian Quadrature with Richardson Extrapolation
Rank

Matrix Rank
rat

Continuous Fractions (Matlab Style)
rmserr

Accuracy Measures
romberg

Romberg Integration
sind,cosd,tand, etc.

Trigonometric Functions in Degrees
strTrim

Remove leading and trailing white space.
steep_descent

Steepest Descent Minimization
std

Standard Deviation (Matlab Style)
size

Size of Matrix
subspace

Angle between two subspaces
tri

Triangular Matrices (Matlab Style)
rectint

Rectangle Intersection Areas
refindall

Find overlapping regular expression matches.
rkf54

Runge-Kutta-Fehlberg
semilogx,semilogy

Semi-logarithmic Plots (Matlab Style)
shooting

Shooting Method
str2num

Converting string to number (Matlab style)
rk4, rk4sys

Classical Runge-Kutta
segm_distance

Segment Distance
segm_intersect

Segment Intersection
std_err

Standard Error
squareform

Format Distance Matrix (Matlab Style)
tic,toc

MATLAB timer functions
titanium

Titanium Test Data
Trace

Matrix trace
Toeplitz

Toeplitz Matrix
vander

Vandermonde matrix
vectorfield

Vector Field Plotting
whittaker

Whittaker Smoothing
wilkinson

wilkinson Matrix
sorting

Sorting Routines
strRep

Find and replace substring
strjust

Justify character vector
strcat

String Concatenation
strfind

Find Substrings
strcmp

String Comparison
trigApprox

Trigonometric Approximation
zeta

Riemann Zeta Function
cot,csc,sec, etc.

More Trigonometric Functions