Matlab Function Reference Guide II (pdf) - Computer Engineering ...

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1 <strong>Function</strong>s – By Category 1-18 optimset Create or alter optimization options structure optimget Get optimization parameters from options structure Numerical Integration (Quadrature) quad Numerically evaluate integral, adaptive Simpson quadrature (low order) quadl Numerically evaluate integral, adaptive Lobatto quadrature (high order) dblquad Numerically evaluate double integral triplequad Numerically evaluate triple integral Specialized Math airy Airy functions besselh Bessel functions of third kind (Hankel functions) besseli Modified Bessel function of first kind besselj Bessel function of first kind besselk Modified Bessel function of second kind bessely Bessel function of second kind beta Beta function betainc Incomplete beta function betaln Logarithm of beta function ellipj Jacobi elliptic functions ellipke Complete elliptic integrals of first and second kind erf Error function erfc Complementary error function erfcinv Inverse complementary error function erfcx Scaled complementary error function erfinv Inverse error function expint Exponential integral gamma Gamma function gammainc Incomplete gamma function gammaln Logarithm of gamma function legendre Associated Legendre functions psi Psi (polygamma) function Sparse Matrices • “Elementary Sparse Matrices” • “Full to Sparse Conversion” • “Working with Sparse Matrices”
• “Reordering Algorithms” • “Linear Algebra” • “Linear Equations (Iterative Methods)” • “Tree Operations” Elementary Sparse Matrices spdiags Sparse matrix formed from diagonals speye Sparse identity matrix sprand Sparse uniformly distributed random matrix sprandn Sparse normally distributed random matrix sprandsym Sparse random symmetric matrix Full to Sparse Conversion find Find indices of nonzero elements full Convert sparse matrix to full matrix sparse Create sparse matrix spconvert Import from sparse matrix external format Working with Sparse Matrices issparse True for sparse matrix nnz Number of nonzero matrix elements nonzeros Nonzero matrix elements nzmax Amount of storage allocated for nonzero matrix elements spalloc Allocate space for sparse matrix spfun Apply function to nonzero matrix elements spones Replace nonzero sparse matrix elements with ones spparms Set parameters for sparse matrix routines spy Visualize sparsity pattern Reordering Algorithms colamd Column approximate minimum degree permutation colmmd Column minimum degree permutation colperm Column permutation dmperm Dulmage-Mendelsohn permutation randperm Random permutation symamd Symmetric approximate minimum degree permutation symmmd Symmetric minimum degree permutation symrcm Symmetric reverse Cuthill-McKee permutation Mathematics 1-19
Page 1 and 2: MATLAB® MATLAB Function Reference
Page 3 and 4: 1 Functions - By Category Developme
Page 5 and 6: Functions - By Category 1 The MATLA
Page 7 and 8: Getting Help Development Environmen
Page 9 and 10: Source Control checkin Check file i
Page 11 and 12: Arrays and Matrices • “Basic In
Page 13 and 14: meshgrid Generate X and Y matrices
Page 15 and 16: Factorization balance Diagonal scal
Page 17 and 18: Discrete Math (e.g., Prime Factors)
Page 19 and 20: coefficients roots Polynomial roots
Page 21: • “Partial Differential Equatio
Page 25 and 26: Programming and Data Types Programm
Page 27 and 28: strncmpi Compare first n characters
Page 29 and 30: Determine Data Type is* Detect stat
Page 31 and 32: Operators and Operations • “Spe
Page 33 and 34: setxor Set exclusive or of two vect
Page 35 and 36: global Define global variables inme
Page 37 and 38: lasterr Return last error message g
Page 39 and 40: Low-Level File I/O fclose Close one
Page 41 and 42: Audio Video Interleaved (AVI) Funct
Page 43 and 44: title Titles for 2-D and 3-D plots
Page 45 and 46: tsearch Search for enclosing Delaun
Page 47 and 48: close Close specified window closer
Page 49 and 50: Color Operations brighten Brighten
Page 51 and 52: Transparency 3-D Visualization alph
Page 53 and 54: Deploying User Interfaces guidata S
Page 55 and 56: Functions - Alphabetical List 2
Page 57 and 58: fitsread . . . . . . . . . . . . .
Page 59 and 60: hdf . . . . . . . . . . . . . . . .
Page 61 and 62: isequal . . . . . . . . . . . . . .
Page 63 and 64: lookfor . . . . . . . . . . . . . .
Page 65 and 66: open . . . . . . . . . . . . . . .
Page 67 and 68: 2factorial Purpose Factorial functi
Page 69 and 70: 2fclose Purpose Close one or more o
Page 71 and 72: 2feather Purpose Plot velocity vect
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2feof Purpose Test for end-of-file
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2feval Purpose Function evaluation
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2fft Purpose Discrete Fourier trans
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Graph the first 257 points (the oth
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2fft2 Purpose Two-dimensional discr
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2fftshift Purpose Shift zero-freque
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2fgetl (serial) Purpose Read one li
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2fgets Purpose Read line from file,
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• The terminator specified by the
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'FRAMEBITS' 'ALLBITS' . . See Also
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“Figure Windows” for related fu
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figure Example To create a figure w
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Property Name Property Description
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Modifying Properties Figure Propert
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Figure Properties close(figure_hand
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Figure Properties Colormaps affect
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Figure Properties The figure Curren
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Figure Properties simultaneously di
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Figure Properties etc., to black. l
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Figure Properties vertically; lands
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PaperUnits normalized | {inches} |
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Using the OpenGL Renderer Figure Pr
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Figure Properties • Patch objects
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Figure Properties The physical acti
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Figure Properties • Characters un
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Figure Properties Modal figures do
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File Format Extension File Content
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2fileattrib Purpose Set or get attr
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Examples Get Attributes of File To
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fileattrib The operation was succes
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filebrowser 2filebrowser Purpose Di
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2filesep Purpose Return the directo
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If C is a row vector, fill generate
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2fill3 Purpose Filled three-dimensi
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See Also axis, caxis, colormap, Col
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windowSize = 5; filter(ones(1,windo
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2filter2 Purpose Two-dimensional di
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ans = 1 And on a matrix M = magic(3
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2findfigs Purpose Find visible off-
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See Also copyobj, gcf, gca, gcbo, g
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2finish Purpose MATLAB termination
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fitsinfo The tables that follow sho
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Fields of the BinaryTable Structure
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Fields of the Unknown Structure Arr
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key = S.AsciiTable.Keywords ans = '
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Example Read FITS file, tst0012.fit
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2flipdim Purpose Flip array along a
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2flipud Purpose Flip matrices up-do
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2floor Purpose Round towards minus
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2flow Purpose A simple function of
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options A vector of control paramet
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2fminbnd Purpose Minimize a functio
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f = inline('x.^3-2*x-5'); Then invo
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options A vector of control paramet
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2fminsearch Purpose Minimize a func
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function f = banana(x) f = 100*(x(2
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2fopen Purpose Open a file or obtai
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'ieee-be.l64' or 's' IEEE floating
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See Also Functions fopen(s) fprintf
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has the same effect as for k = 1:n,
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Value for type Result Example hex H
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2fplot Purpose Plot a function betw
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1 0.8 0.6 0.4 0.2 0 −0.2 −0.4
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2fprintf Purpose Write formatted da
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Specifier Description %f Fixed-poin
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Examples The statements Note fprint
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2fprintf (serial) Purpose Write tex
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fprintf (serial) Rules for Writing
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2frameedit Purpose Create and edit
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frameedit Printing Simulink Block D
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MATLAB C or Fortran Interpretation
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Examples For example, is read. If p
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2fread (serial) Purpose Read binary
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Supported Precisions The supported
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2freeserial Purpose Release hold on
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2frewind Purpose Move the file posi
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matched and involve the character %
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2fscanf (serial) Purpose Read data
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fscanf (serial) Use the fprintf fun
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'eof' 1: End of file. status A retu
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2full Purpose Convert sparse matrix
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2func2str Purpose Constructs a func
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function Subfunctions are not visib
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fhandle = @humps; function_handle (
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2funm Purpose Evaluate general matr
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2fwrite Purpose Write binary data t
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fwrite (serial) The ValuesSent prop
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See Also Functions fopen, fprintf f
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[x,fval,exitflag] = fzero(...) retu
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Furthermore, the fzero command defi
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Test Matrices (Continued) toeppd tr
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Argument sym determines whether the
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fiedler—Symmetric matrix A = gall
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If x is complex, then sign(x) = x./
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lauchli—Rectangular matrix A = ga
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orthog—Orthogonal and nearly orth
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gallery k = 0 diag(x) is initially
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1 One large singular value. 4 Arith
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osser—Classic symmetric eigenvalu
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gallery and, for large abs(alpha),
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2gamma, gammainc, gammaln Purpose G
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2gca Purpose Get current axes handl
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2gcbo Purpose Return the handle of
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See Also lcm So that E = 1 0 -2 1 I
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2gco Purpose Return handle of curre
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genpath You can also use genpath in
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2get Purpose Get object properties
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“Finding and Identifying Graphics
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DisplayTooltips: 1 DisplayKeysInToo
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get (serial) Example This example i
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See Also timer, set get(t, {'StartD
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2getenv Purpose Get environment var
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name = 'alice' 'gertrude' getfield
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getframe MATLAB and that can take a
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2ginput Purpose Input data using th
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See Also clear, isglobal, who % TIC
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or [], then the maximum number of t
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flag1 is 2 because the upper triang
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2gplot Purpose Plot set of nodes us
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2gradient Purpose Numerical gradien
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See Also del2, diff gradient [PX,PY
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2grid Purpose Grid lines for two- a
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griddata Remarks XI and YI can be m
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2griddata3 Purpose Data gridding an
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griddatan [2] National Science and
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Examples Example 1. The matrices ha
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A = B = The statement 1 4 7 10 13 2
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2gtext Purpose Mouse placement of t
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% save the structure guidata(figure
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2guihandles Purpose Create a struct
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2hankel Purpose Hankel matrix Synta
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hdfvh Vdata VH functions hdfvs Vdat
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hdfinfo The set of fields in the re
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Fields of the Raster8 and Raster24
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Fields of the Grid Structure Projec
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2hdfread Purpose Extract data from
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Subsetting Parameters for HDF Vdata
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Parameter Description 'Tile' Vector
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Parameter Description Required Para
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hdfread Examples Importing a Data S
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hdfread Importing Fields from a Vda
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2help Purpose Display help for MATL
Page 361 and 362:
Examples Typing you should create C
Page 363 and 364:
Tabs in Help Navigator pane provide
Page 365 and 366:
2helpdlg Purpose Create a help dial
Page 367 and 368:
2helpwin Purpose Display M-file hel
Page 369 and 370:
See Also eig, qz, schur Matrix A Ro
Page 371 and 372:
2hex2num Purpose Hexadecimal to dou
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2hgsave Purpose Saves a Handle Grap
Page 375 and 376:
2hilb Purpose Hilbert matrix Syntax
Page 377 and 378:
for more information. By default, t
Page 379 and 380:
2histc Purpose Histogram count Synt
Page 381 and 382:
2home Purpose Move the cursor to th
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See Also vertcat, cat 23 5 7 14 16
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2i Purpose Imaginary unit Syntax i
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Remarks Nonscalar Expressions If th
Page 389 and 390:
2ifft Purpose Inverse discrete Four
Page 391 and 392:
2ifftn Purpose Multidimensional inv
Page 393 and 394:
2im2frame Purpose Convert indexed i
Page 395 and 396:
frame.show See Also “Bit-Mapped I
Page 397 and 398:
2image Purpose Display image object
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image 8-bit and 16-bit image data d
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Object Hierarchy Root Figure Axes U
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Page 405 and 406:
Image Properties last alpha value i
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produces: 0.5 1 1.5 2 2.5 3 3.5 4 4
Page 409 and 410:
Image Properties slowest. The other
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Selected on | {off} Image Propertie
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2imagesc Purpose Scale data and dis
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See Also image “Bit-Mapped Images
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Information Returned imfinfo If fil
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“Bit-Mapped Images” for related
Page 421 and 422:
imformats Note The values for the i
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import Remarks The only reason for
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2imread Purpose Read image from gra
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imread appears in the file. For exa
Page 429 and 430:
e an integer in the range [0,1]. If
Page 431 and 432:
imread image files, the class of th
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2imwrite Purpose Write image to gra
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Format Full Name Variants 'tif' or
Page 437 and 438:
TIFF-Specific Parameters This table
Page 439 and 440:
Parameter Values Default 'Backgroun
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imwrite Example This example append
Page 443 and 444:
2ind2sub Purpose Subscripts from li
Page 445 and 446:
K = 1 1 2 2 See Also find, size, su
Page 447 and 448:
2inferiorto Purpose Inferior class
Page 449 and 450:
2inline Purpose Construct an inline
Page 451 and 452:
g = inline('sin(alpha*x)','x','alph
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2inpolygon Purpose Detect points in
Page 455 and 456:
2inputdlg Purpose Create input dial
Page 457 and 458:
2inputname Purpose Input argument n
Page 459 and 460:
Check this field in the MATLAB comm
Page 461 and 462:
2instrfind Purpose Return serial po
Page 463 and 464:
2int2str Purpose Integer to string
Page 465 and 466:
See Also double, single, uint8, uin
Page 467 and 468:
The interp1 command interpolates be
Page 469 and 470:
300 250 200 150 100 50 1900 1910 19
Page 471 and 472:
2interp2 Purpose Two-dimensional da
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20 15 10 5 0 −5 3 2 1 Example 2.
Page 475 and 476:
vi = interp3(x,y,z,v,xi,yi,zi); % v
Page 477 and 478:
2interpn Purpose Multidimensional d
Page 479 and 480:
2interpstreamspeed Purpose Interpol
Page 481 and 482:
interpstreamspeed This example plot
Page 483 and 484:
2intersect Purpose Set intersection
Page 485 and 486:
while the statements tic, z = A\b,
Page 487 and 488:
2invhilb Purpose Inverse of the Hil
Page 489 and 490:
invoke(h) See Also methods, ismetho
Page 491 and 492:
2is* Purpose Detect state Descripti
Page 493 and 494:
2isa Purpose Detect an object of a
Page 495 and 496:
2isappdata Purpose True if applicat
Page 497 and 498:
2iscellstr Purpose Determine if ite
Page 499 and 500:
2isempty Purpose Test if array is e
Page 501 and 502:
f2: 50 B.f2 = 50; B.f1 = 25 B = f2:
Page 503 and 504:
2isevent (COM) Purpose Determine if
Page 505 and 506:
2isfinite Purpose Detect finite ele
Page 507 and 508:
2ishandle Purpose Determines if val
Page 509 and 510:
2isinf Purpose Detect infinite elem
Page 511 and 512:
2iskeyword Purpose Determine if ite
Page 513 and 514:
2isletter Purpose Detect array elem
Page 515 and 516:
2ismember Purpose Detect members of
Page 517 and 518:
2ismethod (COM) Purpose Determine i
Page 519 and 520:
2isnumeric Purpose Determine if ite
Page 521 and 522:
2isocaps Purpose Compute isosurface
Page 523 and 524:
2isocolors Purpose Calculates isosu
Page 525 and 526:
isocolors Modified Truecolor Data T
Page 527 and 528:
2isonormals Purpose Compute normals
Page 529 and 530:
2isosurface Purpose Extract isosurf
Page 531 and 532:
See Also isonormals, shrinkfaces, s
Page 533 and 534:
2isprime Purpose Detect prime eleme
Page 535 and 536:
2isreal Purpose Determine if all ar
Page 537 and 538:
2isruntime Purpose Determine if MAT
Page 539 and 540:
B = sortrows(A) B = 4 6 13 20 22 10
Page 541 and 542:
2issparse Purpose Test if matrix is
Page 543 and 544:
2isstruct Purpose Determine if item
Page 545 and 546:
2isunix Purpose Determine if UNIX v
Page 547 and 548:
2isvalid (timer) Purpose Determine
Page 549 and 550:
2j Purpose Imaginary unit Syntax j
Page 551 and 552:
2javachk Purpose Generate an error
Page 553 and 554:
2javaMethod Purpose Invokes a Java
Page 555 and 556:
2javaObject Purpose Constructs a Ja
Page 557 and 558:
2keyboard Purpose Invoke the keyboa
Page 559 and 560:
0 5 10 15 20 25 0 5 10 15 nz = 105
Page 561 and 562:
lasterr errmsg = lasterr; if(strfin
Page 563 and 564:
catch do_cleanup rethrow(lasterror)
Page 565 and 566:
Divide by zero msgid = MATLAB:divid
Page 567 and 568:
2legend Purpose Display a legend on
Page 569 and 570:
legend • object_h - handles of th
Page 571 and 572:
2legendre Purpose Associated Legend
Page 573 and 574:
and P(:,1,2,3) ans = -0.2475 -1.122
Page 575 and 576:
2length (serial) Purpose Length of
Page 577 and 578:
license license('test',feature,togg
Page 579 and 580:
Object Hierarchy Root Figure Axes U
Page 581 and 582:
Page 583 and 584:
Light Properties CreateFcn string o
Page 585 and 586:
Light Properties z coordinates. The
Page 587 and 588:
2lightangle Purpose Create or posit
Page 589 and 590:
2lin2mu Purpose Convert linear audi
Page 591 and 592:
line('XData',x,'YData',y,'ZData',z,
Page 593 and 594:
line(rand(2,4),rand(2,4),rand(1,4))
Page 595 and 596:
Page 597 and 598:
Modifying Properties Line Property
Page 599 and 600:
EraseMode {normal} | none | xor | b
Page 601 and 602:
Interruptible {on} | off Line Prope
Page 603 and 604:
MarkerFaceColor ColorSpec | {none}
Page 605 and 606:
2LineSpec Purpose Line specificatio
Page 607 and 608:
Related Properties Color Specifiers
Page 609 and 610:
hold off 1 0.8 0.6 0.4 0.2 0 −0.2
Page 611 and 612:
2linspace Purpose Generate linearly
Page 613 and 614:
listdlg Example This example displa
Page 615 and 616:
digits in filename with an X and re
Page 617 and 618:
2load (serial) Purpose Load serial
Page 619 and 620:
2loadobj Purpose User-defined exten
Page 621 and 622:
2log Purpose Natural logarithm Synt
Page 623 and 624:
2log2 Purpose Base 2 logarithm and
Page 625 and 626:
2loglog Purpose Log-log scale plot
Page 627 and 628:
2logm Purpose Matrix logarithm Synt
Page 629 and 630:
2logspace Purpose Generate logarith
Page 631 and 632:
2lower Purpose Convert string to lo
Page 633 and 634:
2lscov Purpose Least squares soluti
Page 635 and 636:
[x,resnorm,residual,exitflag] = lsq
Page 637 and 638:
2lsqr Purpose LSQR implementation o
Page 639 and 640:
[x,flag,relres,iter,resvec,lsvec] =
Page 641 and 642:
2lu Purpose LU matrix factorization
Page 643 and 644:
P Row permutation matrix satisfying
Page 645 and 646:
The solution is actually computed b
Page 647 and 648:
2luinc Purpose Incomplete LU matrix
Page 649 and 650:
thresh is the pivot threshold betwe
Page 651 and 652:
0 100 200 300 400 0 100 200 300 400
Page 653 and 654:
Algorithm luinc(X,'0') is based on
Page 655 and 656:
The value of the characteristic sum
Page 657 and 658:
2mat2cell Purpose Divide matrix int
Page 659 and 660:
See Also cell2mat, num2cell C{2,1}
Page 661 and 662:
2material Purpose Controls the refl
Page 663 and 664:
2matlab Purpose Start MATLAB (UNIX
Page 665 and 666:
Variable Definition and Standard As
Page 667 and 668:
Variable Definition and Standard As
Page 669 and 670:
AUTOMOUNT_MAP is used to modify the
Page 671 and 672:
See Also mex Option Function (Conti
Page 673 and 674:
2matlabroot Purpose Return root dir
Page 675 and 676:
2mean Purpose Average or mean value
Page 677 and 678:
2memory Purpose Help for memory lim
Page 679 and 680:
2mesh, meshc, meshz Purpose Mesh pl
Page 681 and 682:
meshz(X,Y,Z) 10 5 0 −5 −10 4 2
Page 683 and 684:
2meshgrid Purpose Generate X and Y
Page 685 and 686:
2methods Purpose Display method nam
Page 687 and 688:
2methodsview Purpose Displays infor
Page 689 and 690:
2mex Purpose Compile MEX-function f
Page 691 and 692:
2mexext Purpose Return the MEX-file
Page 693 and 694:
2min Purpose Minimum elements of an
Page 695 and 696:
minres minres(A,b,tol,maxit,M1,M2,x
Page 697 and 698:
See Also bicg, bicgstab, cgs, choli
Page 699 and 700:
2mkdir Purpose Make new directory G
Page 701 and 702:
2mkpp Purpose Make a piecewise poly
Page 703 and 704:
See Also ppval, spline, unmkpp mkpp
Page 705 and 706:
2mod Purpose Modulus after division
Page 707 and 708:
2move (COM) Purpose Move and/or res
Page 709 and 710:
2movefile Purpose Move file or dire
Page 711 and 712:
movefile Return Status When Moving
Page 713 and 714:
movegui(h) moves the figure identif
Page 715 and 716:
Z = peaks; surf(Z); axis tight set(
Page 717 and 718:
Parameter Value Default 'fps' A sca
Page 719 and 720:
2msgbox Purpose Display message box
Page 721 and 722:
2mu2lin Purpose Convert mu-law audi
Page 723 and 724:
Parameters This table describes the
Page 725 and 726:
multibandread method A text string
Page 727 and 728:
Interleave Methods multibandwrite m
Page 729 and 730:
multibandwrite(bandData,'data.img',
Page 731 and 732:
2namelengthmax Purpose Return maxim
Page 733 and 734:
2nargchk Purpose Check number of in
Page 735 and 736:
end y0 = y; See Also inputname, var
Page 737 and 738:
2nchoosek Purpose Binomial coeffici
Page 739 and 740:
ndgrid Remarks The ndgrid function
Page 741 and 742:
2newplot Purpose Determine where to
Page 743 and 744:
2nextpow2 Purpose Next power of two
Page 745 and 746:
0.0747 0.8405 [A\b nnls(A,b)] = -2.
Page 747 and 748:
2noanimate Purpose Change EraseMode
Page 749 and 750:
2norm Purpose Vector and matrix nor
Page 751 and 752:
2normest Purpose 2-norm estimate Sy
Page 753 and 754:
2now Purpose Current date and time
Page 755 and 756:
ans = 1.0000 -0.0000 -0.0000 1.0000
Page 757 and 758:
2num2str Purpose Number to string c
Page 759 and 760:
16 5 9 4 2 11 7 14 3 10 6 15 13 8 1
Page 761 and 762:
ode45, ode23, ode113, ode15s, ode23
Page 763 and 764:
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Page 769 and 770:
Page 771 and 772:
odefile 2odefile Purpose Define a d
Page 773 and 774:
options = < Insert options = odeset
Page 775 and 776:
3 2 1 0 −1 −2 −3 0 2 4 6 8 10
Page 777 and 778:
2odeget Purpose Extract properties
Page 779 and 780:
• Solver output • Jacobian matr
Page 781 and 782:
Jacobian Matrix Properties (for ode
Page 783 and 784:
Step Size Properties Property Value
Page 785 and 786:
2open Purpose Open files based on e
Page 787 and 788:
Example 4 - Opening a MAT File This
Page 789 and 790:
figure_handle = openfig(...) return
Page 791 and 792:
openvar 2openvar Purpose Open works
Page 793 and 794:
2optimset Purpose Create or edit op
Page 795 and 796:
Property Value Description DiffMinC
Page 797 and 798:
optimset This statement makes a cop
Page 799 and 800:
c: 3 a: 1 snew = orderfields(s) sne
Page 801 and 802:
orient the orient portrait command
Page 803 and 804:
2otherwise Purpose Default part of
Page 805 and 806:
Numerics 1-norm 2-695 2-norm (estim
Page 807 and 808:
covariance least squares solution a
Page 809 and 810:
fftshift 2-29 FFTW 2-25 fgetl 2-30
Page 811 and 812:
fseek 2-180 ftell 2-182 full 2-183
Page 813 and 814:
converting MATLAB image to Java Ima
Page 815 and 816:
objects 2-456, 2-478 Java Image cla
Page 817 and 818:
flipping up-down 2-117 Hadamard 2-2
Page 819 and 820:
ode23 2-707 ode23s 2-707 ode23t 2-7
Page 821 and 822:
zbuffer 2-64 Renderer, Figure prope
Page 823 and 824:
Line property 2-550 uint8 2-410 unc
show all

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