Practical Numerical Math Functions
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Documentation for package ‘pracma’ version 2.4.4
- DESCRIPTION file.
- Code demos. Use demo() to run them.
- Package NEWS.
Help Pages
A B C D E F G H I J K L M N O P Q R S T U V W Z
| pracma-package | Practical Numerical Math Routines |
-- A --
| abm3pc | Adams-Bashford-Moulton |
| accumarray | Accumulate Vector Elements |
| acosd | Trigonometric Functions in Degrees |
| acot | More Trigonometric Functions |
| acotd | Trigonometric Functions in Degrees |
| acoth | More Hyperbolic Functions |
| acsc | More Trigonometric Functions |
| acscd | Trigonometric Functions in Degrees |
| acsch | More Hyperbolic Functions |
| affineproj | Linear Projection onto a Subspace |
| agmean | Arithmetic-geometric Mean |
| aitken | Aitken' Method |
| akimaInterp | Univariate Akima Interpolation |
| and | Logical AND, OR (Matlab Style) |
| andrewsplot | Andrews' Curves |
| angle | Basic Complex Functions |
| anms | Adaptive Nelder-Mead Minimization |
| approx_entropy | Approximate and Sample Entropy |
| arclength | Arc Length of a Curve |
| arnoldi | Arnoldi Iteration |
| arrayfun | Elementwise Function Application (Matlab Style) |
| asec | More Trigonometric Functions |
| asecd | Trigonometric Functions in Degrees |
| asech | More Hyperbolic Functions |
| asind | Trigonometric Functions in Degrees |
| atan2d | Trigonometric Functions in Degrees |
| atand | Trigonometric Functions in Degrees |
-- B --
| barylag | Barycentric Lagrange Interpolation |
| barylag2d | 2-D Barycentric Lagrange Interpolation |
| beep | Utility functions (Matlab style) |
| bernoulli | Bernoulli Numbers and Polynomials |
| bernstein | Bernstein Polynomials |
| bernsteinb | Bernstein Polynomials |
| bisect | Rootfinding Through Bisection or Secant Rule |
| bits | Binary Representation |
| blanks | String of Blank Carakters |
| blkdiag | Block Diagonal Matrix |
| brent | Brent-Dekker Root Finding Algorithm |
| brentDekker | Brent-Dekker Root Finding Algorithm |
| brown72 | Brownian Motion |
| broyden | Broyden's Method |
| bsxfun | Elementwise Function Application (Matlab Style) |
| bubbleSort | Sorting Routines |
| bulirsch_stoer | Bulirsch-Stoer Algorithm |
| bvp | Boundary Value Problems |
-- C --
| cart2pol | Coordinate Transformations |
| cart2sph | Coordinate Transformations |
| cd | Directory Functions (Matlab style) |
| ceil | Integer Functions (Matlab Style) |
| charpoly | Characteristic Polynomial |
| chebApprox | Chebyshev Approximation |
| chebCoeff | Chebyshev Polynomials |
| chebPoly | Chebyshev Polynomials |
| Ci | Sine and Cosine Integral Functions |
| circlefit | Fitting a Circle |
| circshift | Matrix Flipping (Matlab Style) |
| clear | Clear function (Matlab style) |
| clenshaw_curtis | Clenshaw-Curtis Quadrature Formula |
| combs | Generate Combinations |
| compan | Companion Matrix |
| complexstep | Complex Step Derivatives |
| cond | Matrix Condition |
| conv | Polynomial Convolution |
| cosd | Trigonometric Functions in Degrees |
| cot | More Trigonometric Functions |
| cotd | Trigonometric Functions in Degrees |
| cotes | Newton-Cotes Formulas |
| coth | More Hyperbolic Functions |
| cranknic | Crank-Nicolson Method |
| cross | Vector Cross Product |
| crossn | n-dimensional Vector Cross Product |
| csc | More Trigonometric Functions |
| cscd | Trigonometric Functions in Degrees |
| csch | More Hyperbolic Functions |
| cubicspline | Interpolating Cubic Spline |
| cumtrapz | Trapezoidal Integration |
| curvefit | Parametric Curve Fit |
| cutpoints | Find Cutting Points |
-- D --
| dblquad | Double and Triple Integration |
| deblank | Remove leading and trailing white space. |
| deconv | Deconvolution |
| deeve | Event Detection in ODE solution |
| deg2rad | Degrees to Radians |
| detrend | Remove Linear Trends |
| deval | Evaluate ODE Solution |
| Diag | Matrix Diagonal |
| disp | Utility functions (Matlab style) |
| distmat | Distance Matrix |
| dot | Scalar Product |
-- E --
| eig | Eigenvalue Function (Matlab Style) |
| eigjacobi | Jacobi Eigenvalue Method |
| einsteinF | Einstein Functions |
| ellipj | Elliptic and Jacobi Elliptic Integrals |
| ellipke | Elliptic and Jacobi Elliptic Integrals |
| eps | Floating Point Relative Accuracy |
| erf | Error Functions and Inverses (Matlab Style) |
| erfc | Error Functions and Inverses (Matlab Style) |
| erfcinv | Error Functions and Inverses (Matlab Style) |
| erfcx | Error Functions and Inverses (Matlab Style) |
| erfi | Error Functions and Inverses (Matlab Style) |
| erfinv | Error Functions and Inverses (Matlab Style) |
| erfz | Error Functions and Inverses (Matlab Style) |
| errorbar | Plot Error Bars |
| eta | Dirichlet Eta Function |
| euler_heun | Euler-Heun ODE Solver |
| expint | Exponential and Logarithmic Integral |
| expint_E1 | Exponential and Logarithmic Integral |
| expint_Ei | Exponential and Logarithmic Integral |
| expm | Matrix Exponential |
| eye | Some Basic Matrices |
| ezcontour | Contour, Surface, and Mesh Plotter |
| ezmesh | Contour, Surface, and Mesh Plotter |
| ezplot | Easy Function Plot |
| ezpolar | Easy Polar Plot |
| ezsurf | Contour, Surface, and Mesh Plotter |
-- F --
| fact | Factorial Function |
| factorial2 | Factorial Function |
| factors | Prime Factors |
| fderiv | Numerical Differentiation |
| fftshift | Inverse Fast Fourier Transformation |
| fibsearch | Fibonacci Search |
| figure | Control Plot Devices (Matlab Style) |
| findintervals | Find Interval Indices |
| findmins | Find All Minima |
| findpeaks | Find Peaks |
| finds | find function (Matlab Style) |
| findstr | Find Substrings |
| findzeros | Find All Roots |
| Fix | Integer Functions (Matlab Style) |
| fletcher_powell | Fletcher-Powell Conjugate Gradient Minimization |
| flipdim | Matrix Flipping (Matlab Style) |
| fliplr | Matrix Flipping (Matlab Style) |
| flipud | Matrix Flipping (Matlab Style) |
| fminbnd | Finding Function Minimum |
| fmincon | Minimize Nonlinear Constrained Multivariable Function. |
| fminsearch | Derivative-free Nonlinear Function Minimization |
| fminunc | Minimize Unconstrained Multivariable Function |
| fnorm | Function Norm |
| fornberg | Fornberg's Finite Difference Approximation |
| fplot | Easy Function Plot |
| fprintf | Formatted Printing (Matlab style) |
| fractalcurve | Fractal Curves |
| fresnelC | Fresnel Integrals |
| fresnelS | Fresnel Integrals |
| fsolve | Solve System of Nonlinear Equations |
| fzero | Root Finding Algorithm |
| fzsolve | Complex Root Finding |
-- G --
| gammainc | Incomplete Gamma Function |
| gammaz | Complex Gamma Function |
| gaussHermite | Gauss-Hermite Quadrature Formula |
| gaussLaguerre | Gauss-Laguerre Quadrature Formula |
| gaussLegendre | Gauss-Legendre Quadrature Formula |
| gaussNewton | Gauss-Newton Function Minimization |
| gauss_kronrod | Gauss-Kronrod Quadrature |
| gcd | GCD and LCM Integer Functions |
| geomean | Geometric and Harmonic Mean (Matlab Style) |
| geo_median | Geometric Median |
| givens | Givens Rotation |
| gmres | Generalized Minimal Residual Method |
| golden_ratio | Golden Ratio Search |
| grad | Numerical Gradient |
| gradient | Discrete Gradient (Matlab Style) |
| grad_csd | Complex Step Derivatives |
| gramSchmidt | Gram-Schmidt |
-- H --
| hadamard | Hadamard Matrix |
| halley | Halley's Root Finding Mathod |
| hampel | Hampel Filter |
| hankel | Hankel Matrix |
| harmmean | Geometric and Harmonic Mean (Matlab Style) |
| hausdorff_dist | Hausdorff Distance |
| haversine | Haversine Formula |
| heapSort | Sorting Routines |
| hessdiag | Hessian utilities |
| hessenberg | Hessenberg Matrix |
| hessian | Hessian Matrix |
| hessian_csd | Complex Step Derivatives |
| hessvec | Hessian utilities |
| hilb | Hilbert Matrix |
| histc | Histogram Count (Matlab style) |
| histss | Histogram Bin-width Optimization |
| hooke_jeeves | Hooke-Jeeves Function Minimization Method |
| horner | Horner's Rule |
| hornerdefl | Horner's Rule |
| householder | Householder Reflections |
| humps | Matlab Test Functions |
| hurstexp | Hurst Exponent |
| hypot | Hypotenuse Function |
-- I --
| idivide | Integer Division |
| ifft | Inverse Fast Fourier Transformation |
| ifftshift | Inverse Fast Fourier Transformation |
| Imag | Basic Complex Functions |
| incgam | Incomplete Gamma Function |
| inpolygon | Polygon Region |
| insertionSort | Sorting Routines |
| integral | Adaptive Numerical Integration |
| integral2 | Numerically Evaluate Double and Triple Integrals |
| integral3 | Numerically Evaluate Double and Triple Integrals |
| interp1 | One-dimensional Interpolation |
| interp2 | Two-dimensional Data Interpolation |
| inv | Matrix Inverse (Matlab Style) |
| invlap | Inverse Laplacian |
| is.sorted | Sorting Routines |
| isempty | isempty Property |
| isposdef | Positive Definiteness |
| isprime | isprime Property |
| itersolve | Iterative Methods |
-- J --
| jacobian | Jacobian Matrix |
| jacobian_csd | Complex Step Derivatives |
-- K --
| kabsch | Solving the Procrustes Problem |
| kriging | Interpolation by Kriging |
| kron | Kronecker product (Matlab Style) |
-- L --
| L1linreg | L1 Linear Regression |
| lagrangeInterp | Lagrange and Newtons Interpolation |
| laguerre | Laguerre's Method |
| lambertWn | Lambert's W Function |
| lambertWp | Lambert's W Function |
| laplacian | Laplacian Operator |
| laplacian_csd | Complex Step Derivatives |
| Lcm | GCD and LCM Integer Functions |
| lebesgue | Lebesgue Constant |
| legendre | Legendre Functions (Matlab Style) |
| li | Exponential and Logarithmic Integral |
| linearproj | Linear Projection onto a Subspace |
| line_integral | Line integral (in the complex plane) |
| linprog | Linear Programming Solver |
| linspace | Linearly Spaced Sequences |
| logit | Sigmoid Function |
| loglog | Semi-logarithmic Plots (Matlab Style) |
| logm | Matrix Exponential |
| logseq | Log-linearly Spaced Sequences |
| logspace | Log-linearly Spaced Sequences |
| lsqcurvefit | Nonlinear Least-Squares Fitting |
| lsqlin | Linear Least-Squares Fitting |
| lsqlincon | Linear Least-Squares Fitting with linear constraints |
| lsqnonlin | Nonlinear Least-Squares Fitting |
| lsqnonneg | Nonlinear Least-Squares Fitting |
| lsqsep | Nonlinear Least-Squares Fitting |
| lu | LU Matrix Factorization |
| lufact | LU Matrix Factorization |
| lusys | LU Matrix Factorization |
| lu_crout | LU Matrix Factorization |
-- M --
| magic | Magic Square |
| matlab | Matlab Compatibility |
| mergeOrdered | Sorting Routines |
| mergeSort | Sorting Routines |
| meshgrid | Generate a Mesh Grid |
| mexpfit | Multi-exponential Fitting |
| midpoint | Bulirsch-Stoer Algorithm |
| mkpp | Piecewise Polynomial Structures |
| mldivide | Matlab backslash operator |
| mod | Integer Division |
| Mode | Mode function (Matlab style) |
| moler | Moler Matrix |
| movavg | Moving Average Filters |
| mrdivide | Matlab backslash operator |
| muller | Muller's Method |
-- N --
| nchoosek | Binomial Coefficients |
| ndims | Number of Dimensions |
| nearest_spd | Nearest Symmetric Positive-definite Matrix |
| nelder_mead | Nelder-Mead Function Minimization Method |
| neville | Neville's Method |
| newmark | Newmark Method |
| newton | Rootfinding through Newton-Raphson or Secant. |
| newtonHorner | Newton's Root Finding Method for Polynomials. |
| newtonInterp | Lagrange and Newtons Interpolation |
| newtonRaphson | Rootfinding through Newton-Raphson or Secant. |
| newtonsys | Newton Method for Nonlinear Systems |
| nextpow2 | Next Power of 2 |
| nnz | Nonzero Elements |
| Norm | Vector Norm |
| normest | Estimated Matrix Norm |
| nthroot | Real nth Root |
| null | Kernel or Nullspace |
| nullspace | Kernel or Nullspace |
| num2str | Converting string to number (Matlab style) |
| numderiv | Richardson's Numerical Derivative |
| numdiff | Richardson's Numerical Derivative |
| numel | Number of Elements |
-- O --
| ode23 | Non-stiff (and stiff) ODE solvers |
| ode23s | Non-stiff (and stiff) ODE solvers |
| ode45 | Non-stiff (and stiff) ODE solvers |
| ode78 | Non-stiff (and stiff) ODE solvers |
| odregress | Orthogonal Distance Regression |
| ones | Some Basic Matrices |
| or | Logical AND, OR (Matlab Style) |
| orth | Range Space |
-- P --
| pade | Pade Approximation |
| pascal | Pascal Triangle |
| pchip | Hermitean Interpolation Polynomials |
| pchipfun | Hermitean Interpolation Polynomials |
| pdist | Distance Matrix |
| pdist2 | Distance Matrix |
| peaks | Peaks Function (Matlab Style) |
| perms | Generate Permutations |
| piecewise | Piecewise Linear Function |
| pinv | Pseudoinverse or Generalized Inverse |
| plotyy | Plotting Two y-Axes |
| poisson2disk | Poisson Disk Sampling |
| pol2cart | Coordinate Transformations |
| polar | Polar Coordinate Plot (Matlab Style) |
| Poly | Define Polynomial by Roots |
| poly2str | Print Polynomial |
| polyadd | Adding Polynomials |
| polyApprox | Polynomial Approximation |
| polyarea | Area of a Polygon |
| polyder | Derivative of Polynomial |
| polydiv | Multiplying and Dividing Polynomials |
| polyfit | Fitting by Polynomial |
| polyfix | Fitting by Polynomial |
| polygcf | Polynomial Transformations |
| polyint | Anti-derivative of Polynomial |
| polylog | Polylogarithm Function |
| polymul | Multiplying and Dividing Polynomials |
| polypow | Polynomial Powers |
| polyroots | Polynomial Roots |
| polytrans | Polynomial Transformations |
| polyval | Evaluating a Polynomial |
| polyvalm | Evaluating a Polynomial |
| poly_center | Area of a Polygon |
| poly_crossings | Area of a Polygon |
| poly_length | Area of a Polygon |
| pow2 | Base 2 Power |
| ppfit | Piecewise Polynomial Fit |
| ppval | Piecewise Polynomial Structures |
| pracma | Practical Numerical Math Routines |
| primes | Prime Numbers |
| procrustes | Solving the Procrustes Problem |
| psi | Psi (Polygamma) Function |
| psinc | Matlab Test Functions |
| pwd | Directory Functions (Matlab style) |
-- Q --
| qpsolve | Special Quadratic Programming Solver |
| qpspecial | Special Quadratic Programming Solver |
| qrSolve | LSE Solution |
| quad | Adaptive Simpson Quadrature |
| quad2d | 2-d Gaussian Quadrature |
| quadcc | Adaptive Clenshaw-Curtis Quadrature |
| quadgk | Adaptive Gauss-Kronrod Quadrature |
| quadgr | Gaussian Quadrature with Richardson Extrapolation |
| quadinf | Infinite Integrals |
| quadl | Adaptive Lobatto Quadrature |
| quadprog | Quadratic Programming |
| quadv | Vectorized Integration |
| quickSort | Sorting Routines |
| quickSortx | Sorting Routines |
| quiver | Quiver or Velocity Plot |
-- R --
| rad2deg | Degrees to Radians |
| rand | Create Random Matrices |
| randcomb | Random Combination |
| randi | Create Random Matrices |
| randn | Create Random Matrices |
| randortho | Generate Random Orthonormal or Unitary Matrix |
| randp | Create Random Matrices |
| randperm | Random Permutation |
| rands | Create Random Matrices |
| randsample | Create Random Matrices |
| Rank | Matrix Rank |
| rat | Continuous Fractions (Matlab Style) |
| ratinterp | Rational Interpolation |
| rationalfit | Rational Function Approximation |
| rats | Continuous Fractions (Matlab Style) |
| Real | Basic Complex Functions |
| rectint | Rectangle Intersection Areas |
| refindall | Find overlapping regular expression matches. |
| regexp | Match regular expression |
| regexpi | Match regular expression |
| regexprep | Replace string using regular expression |
| regulaFalsi | Rootfinding Through Bisection or Secant Rule |
| rem | Integer Division |
| repmat | Replicate Matrix |
| Reshape | Reshape Matrix |
| ridders | Ridders' Root Finding Method |
| rk4 | Classical Runge-Kutta |
| rk4sys | Classical Runge-Kutta |
| rkf54 | Runge-Kutta-Fehlberg |
| rmserr | Accuracy Measures |
| romberg | Romberg Integration |
| rootm | Matrix Square and p-th Roots |
| roots | Polynomial Roots |
| rootsmult | Polynomial Roots |
| rosser | Rosser Matrix |
| rot90 | Matrix Rotation |
| rref | Reduced Row Echelon Form |
| runge | Runge Function |
-- S --
| sample_entropy | Approximate and Sample Entropy |
| savgol | Savitzky-Golay Smoothing |
| sec | More Trigonometric Functions |
| secant | Rootfinding Through Bisection or Secant Rule |
| secd | Trigonometric Functions in Degrees |
| sech | More Hyperbolic Functions |
| segm_distance | Segment Distance |
| segm_intersect | Segment Intersection |
| selectionSort | Sorting Routines |
| semilogx | Semi-logarithmic Plots (Matlab Style) |
| semilogy | Semi-logarithmic Plots (Matlab Style) |
| shellSort | Sorting Routines |
| shooting | Shooting Method |
| shubert | Shubert-Piyavskii Method |
| Si | Sine and Cosine Integral Functions |
| sigmoid | Sigmoid Function |
| signm | Matrix Square and p-th Roots |
| simpadpt | Adaptive Simpson Quadrature |
| simpson2d | Double Simpson Integration |
| sinc | Matlab Test Functions |
| sind | Trigonometric Functions in Degrees |
| size | Size of Matrix |
| softline | Soft (Inexact) Line Search |
| sortrows | Sort Rows of a Matrix (Matlab Style) |
| sph2cart | Coordinate Transformations |
| spinterp | Monotone (Shape-Preserving) Interpolation |
| sqrtm | Matrix Square and p-th Roots |
| squareform | Format Distance Matrix (Matlab Style) |
| std | Standard Deviation (Matlab Style) |
| std_err | Standard Error |
| steep_descent | Steepest Descent Minimization |
| stereographic | Stereographic Projection |
| stereographic_inv | Stereographic Projection |
| str2num | Converting string to number (Matlab style) |
| strcat | String Concatenation |
| strcmp | String Comparison |
| strcmpi | String Comparison |
| strfind | Find Substrings |
| strfindi | Find Substrings |
| strjust | Justify character vector |
| strRep | Find and replace substring |
| strTrim | Remove leading and trailing white space. |
| subspace | Angle between two subspaces |
| sumalt | Alternating Series Acceleration |
-- T --
| tand | Trigonometric Functions in Degrees |
| taylor | Taylor Series Approximation |
| testSort | Sorting Routines |
| tic | MATLAB timer functions |
| titanium | Titanium Test Data |
| toc | MATLAB timer functions |
| Toeplitz | Toeplitz Matrix |
| Trace | Matrix trace |
| trapz | Trapezoidal Integration |
| trapzfun | Trapezoidal Integration |
| trigApprox | Trigonometric Approximation |
| trigPoly | Trigonometric Polynomial |
| tril | Triangular Matrices (Matlab Style) |
| trimmean | Geometric and Harmonic Mean (Matlab Style) |
| triplequad | Double and Triple Integration |
| triquad | Gaussian Triangle Quadrature |
| trisolve | Tridiagonal Linear System Solver |
| triu | Triangular Matrices (Matlab Style) |
-- U --
| uniq | Accumulate Vector Elements |
-- V --
| vander | Vandermonde matrix |
| vectorfield | Vector Field Plotting |
| ver | Clear function (Matlab style) |
-- W --
| what | Directory Functions (Matlab style) |
| whittaker | Whittaker Smoothing |
| who | Clear function (Matlab style) |
| whos | Clear function (Matlab style) |
| wilkinson | wilkinson Matrix |
-- Z --
| zeros | Some Basic Matrices |
| zeta | Riemann Zeta Function |