MATLAB Function Reference Volume 1: A - E - Bad Request

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1 <strong>Function</strong>s By Category 1-10 See also “Linear Algebra” for other matrix operations. See also “Elementary Math” for other array operations. Elementary Matrices and Arrays : (colon) Regularly spaced vector blkdiag Construct block diagonal matrix from input arguments diag Diagonal matrices and diagonals of matrix eye Identity matrix freqspace Frequency spacing for frequency response linspace Generate linearly spaced vectors logspace Generate logarithmically spaced vectors meshgrid Generate X and Y matrices for three-dimensional plots ndgrid Arrays for multidimensional functions and interpolation ones Create array of all ones rand Uniformly distributed random numbers and arrays randn Normally distributed random numbers and arrays repmat Replicate and tile array zeros Create array of all zeros Specialized Matrices compan Companion matrix gallery Test matrices hadamard Hadamard matrix hankel Hankel matrix hilb Hilbert matrix invhilb Inverse of Hilbert matrix magic Magic square pascal Pascal matrix rosser Classic symmetric eigenvalue test problem toeplitz Toeplitz matrix vander Vandermonde matrix wilkinson Wilkinson’s eigenvalue test matrix Linear Algebra • “Matrix Analysis” • “Linear Equations” • “Eigenvalues and Singular Values” • “Matrix Logarithms and Exponentials” • “Factorization”
Matrix Analysis cond Condition number with respect to inversion condeig Condition number with respect to eigenvalues det Determinant norm Matrix or vector norm normest Estimate matrix 2-norm null Null space orth Orthogonalization rank Matrix rank rcond Matrix reciprocal condition number estimate rref Reduced row echelon form subspace Angle between two subspaces trace Sum of diagonal elements Linear Equations \ and / Linear equation solution chol Cholesky factorization cholinc Incomplete Cholesky factorization cond Condition number with respect to inversion condest 1-norm condition number estimate funm Evaluate general matrix function inv Matrix inverse lscov Least squares solution in presence of known covariance lsqnonneg Nonnegative least squares lu LU matrix factorization luinc Incomplete LU factorization pinv Moore-Penrose pseudoinverse of matrix qr Orthogonal-triangular decomposition rcond Matrix reciprocal condition number estimate Eigenvalues and Singular Values balance Improve accuracy of computed eigenvalues cdf2rdf Convert complex diagonal form to real block diagonal form condeig Condition number with respect to eigenvalues eig Eigenvalues and eigenvectors eigs Eigenvalues and eigenvectors of sparse matrix gsvd Generalized singular value decomposition hess Hessenberg form of matrix poly Polynomial with specified roots polyeig Polynomial eigenvalue problem qz QZ factorization for generalized eigenvalues rsf2csf Convert real Schur form to complex Schur form Mathematics 1-11
Page 1 and 2: MATLAB® MATLAB Function Reference
Page 3 and 4: 1 Functions By Category Development
Page 5 and 6: Functions By Category 1
Page 7 and 8: Development Environment Development
Page 9 and 10: ls List directory on UNIX matlabroo
Page 11 and 12: Mathematics Mathematics Functions f
Page 13: Slash or right matrix divide ' Tran
Page 17 and 18: atan, atanh Inverse tangent and inv
Page 19 and 20: Correlation corrcoef Correlation co
Page 21 and 22: Convex Hull convhull Convex hull co
Page 23 and 24: etainc Incomplete beta function bet
Page 25 and 26: Tree Operations etree Elimination t
Page 27 and 28: permute Rearrange dimensions of mul
Page 29 and 30: int8 Convert to signed 8-bit intege
Page 31 and 32: Array Manipulation : Specify range
Page 33 and 34: itxor Bit-wise XOR Relational Opera
Page 35 and 36: evalc Evaluate MATLAB expression wi
Page 37 and 38: methodsview Display information on
Page 39 and 40: open Open files of various types us
Page 41 and 42: Microsoft WAVE Sound Functions wavp
Page 43 and 44: gtext Place text on 2-D graph using
Page 45 and 46: tsearch Search for enclosing Delaun
Page 47 and 48: 3-D Visualization 3-D Visualization
Page 49 and 50: • Selecting Region of Interest Co
Page 51 and 52: Creating Graphical User Interfaces
Page 53 and 54: Controlling Program Execution uires
Page 55 and 56: Alphabetical List of Functions 2
Page 57 and 58: axis . . . . . . . . . . . . . . .
Page 59 and 60: clear . . . . . . . . . . . . . . .
Page 61 and 62: dbup . . . . . . . . . . . . . . .
Page 63 and 64: expm . . . . . . . . . . . . . . .
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Arithmetic Operators + - * / \ ^ '
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See Also all, any, find, strcmp Rel
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Logical Operators & | ~ expression
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Special Characters [ ] ( ) {} = ' .
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2Colon : Purpose Create vectors, ar
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2abs Purpose Absolute value and com
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Algorithm acos and acosh use these
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Algorithm acot and acoth use these
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See Also csc, csch acsc, acsch 2-33
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actxcontrol Note There are two ways
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actxserver 2actxserver Purpose Crea
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fig=figure; set(fig,'DoubleBuffer',
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Verify that the files were added to
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[W,ierr] = airy(k,Z) also returns a
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2all Purpose Test to determine if a
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2allchild Purpose Find all children
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• 'rand' - set the AlphaData prop
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2alphamap Purpose Specify the figur
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2angle Purpose Phase angle Syntax P
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2any Purpose Test for any nonzeros
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2area Purpose Area fill of a two-di
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2asec, asech Purpose Inverse secant
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2asin, asinh Purpose Inverse sine a
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2assignin Purpose Assign a value to
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2atan, atanh Purpose Inverse tangen
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2atan2 Purpose Four-quadrant invers
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2audioplayer Purpose Create an audi
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Property Description Type Type Name
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Method Description audiorecorder is
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audiorecorder Examples Example 1 Us
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2auwrite Purpose Write NeXT/SUN (.a
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Parameter Value Default You can als
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2aviinfo Purpose Return information
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2aviread Purpose Read an Audio Vide
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While the basic purpose of an axes
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In this example, the first plot occ
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Property Name Property Description
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Axes Properties objects in the axes
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CameraView Angle [0 1 0] (positive
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Color {none} | ColorSpec Axes Prope
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X-, Y-, Z-Limits following table de
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Axes Properties FontName A name suc
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Axes Properties When a handle’s v
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Axes Properties • replacechildren
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Axes Properties define object handl
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Visible {on} | off Axes Properties
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XMinorGrid, YMinorGrid, ZMinorGrido
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2axis Purpose Axis scaling and appe
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Examples The statements axis off tu
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5 4.5 4 3.5 3 2.5 2 1.5 1 0.5 axis(
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2balance Purpose Improve accuracy o
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Now the eigenvectors are well behav
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ar, barh distinct elements and show
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See Also bar3, ColorSpec, patch, st
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ar3, bar3h •'stacked' displays on
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See Also bar, LineSpec, patch 1 0.5
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2beep Purpose Produce a beep sound
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[H,ierr] = besselh(...) also return
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esseli, besselk and the other is a
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2besselj, bessely Purpose Bessel fu
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0.19602657795532 0.28670098806392 0
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1/168 1/252 1/360 1/495 1/660 In th
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Examples Example 1. bicg(afun,b,tol
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flag = relres = iter = 1 1 0 The va
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4559 This time U2 is nonsingular an
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time to precondition and converge t
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Example Example 1. bicgstab bicgsta
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icgstab flag2 is 0 because bicgstab
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2bin2dec Purpose Binary to decimal
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2bitcmp Purpose Complement bits Syn
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2bitmax Purpose Maximum floating-po
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2bitset Purpose Set bit Syntax C =
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2bitxor Purpose Bit-wise XOR Syntax
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2blkdiag Purpose Construct a block
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2break Purpose Terminate execution
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2builtin Purpose Execute builtin fu
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parameters Optional. A vector that
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function dydx = twoode(x,y) dydx =
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fprintf('The fourth eigenvalue is a
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2bvpget Purpose Extract properties
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solinit is a structure with the fol
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Property Value Description Vectoriz
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2calendar Purpose Calendar Syntax c
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camdolly Remarks camdolly sets the
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Examples This example creates a lig
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See Also campos, camtarget camlooka
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end camorbit Rotation in the camera
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2campos Purpose Set or query the ca
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2camproj Purpose Set or query the p
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2camtarget Purpose Set or query the
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2camup Purpose Set or query the cam
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2camva Purpose Set or query the cam
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2camzoom Purpose Zoom in and out on
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2cart2pol Purpose Transform Cartesi
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2case Purpose Case switch Descripti
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2catch Purpose Begin catch block De
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each time they render. CData values
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The blue color of the ocean is the
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2cdf2rdf Purpose Convert complex di
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2cdfinfo Purpose Return details abo
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Column 5 - Record and Dimension Var
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Examples Read all of the data from
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2cell Purpose Create cell array Syn
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2cell2struct Purpose Convert cell a
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2cellfun Purpose Apply a function t
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2cellplot Purpose Graphically displ
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2cgs Purpose Conjugate Gradients Sq
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Alternatively, use this matrix-vect
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2char Purpose Create character arra
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2checkin Purpose Check file into so
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2checkout Purpose Check file out of
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Example 2 - Check out Multiple File
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Destroy the positive definiteness (
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cholinc michol stands for modified
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0 20 40 60 80 100 120 140 0 50 nz =
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cholinc For hilb(20), the Cholesky
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2cholupdate Purpose Rank 1 update t
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Compare chol with cholupdate: R1 =
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2clabel Purpose Contour plot elevat
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2class Purpose Create object or ret
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2clc Purpose Clear Command Window G
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clear keyword clears the items indi
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To clear all compiled M- and MEX-fu
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2clf Purpose Clear current figure w
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2clock Purpose Current time as a da
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See Also delete, figure, gcf must s
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2closereq Purpose Default figure cl
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2colamd Purpose Column approximate
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2colmmd Purpose Sparse column minim
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See Also colamd, colperm, lu, sppar
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colorbar See Also colormap 10 8 6 4
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2colormap Purpose Set and get the c
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The rgbplot function plots colormap
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2ColorSpec Purpose Color specificat
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2colperm Purpose Sparse column perm
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2comet3 Purpose Three-dimensional c
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2compass Purpose Plot arrows emanat
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2complex Purpose Construct complex
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2computer Purpose Identify informat
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2cond Purpose Condition number with
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2condest Purpose 1-norm condition n
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coneplot(...,'method') specifies th
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3. Add the Slice Planes coneplot
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2conj Purpose Complex conjugate Syn
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2contour Purpose Two-dimensional co
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3 2.5 2 1.5 1 0.5 0 −0.5 −1 −
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2contour3 Purpose Three-dimensional
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2contourc Purpose Low-level contour
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2contourf Purpose Filled two-dimens
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2contourslice Purpose Draw contours
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3 2 1 0 −1 −2 −3 3 2 1 0 −1
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2conv Purpose Convolution and polyn
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In practice however, conv2 computes
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4 2 0 −2 −4 15 This figure comb
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2convhull Purpose Convex hull Synta
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2convhulln Purpose n-D convex hull
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2convn Purpose N-dimensional convol
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2copyobj Purpose Copy graphics obje
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2corrcoef Purpose Correlation coeff
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Algorithm cos and cosh use these al
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Algorithm cot and coth use these al
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2cplxpair Purpose Sort complex numb
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2cross Purpose Vector cross product
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Algorithm csc and csch use these al
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5 10 15 20 25 30 7 14 21 28 35 42 1
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2cumprod Purpose Cumulative product
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2cumtrapz Purpose Cumulative trapez
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2curl Purpose Computes the curl and
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See Also streamribbon, divergence c
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2cylinder Purpose Generate cylinder
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See Also sphere, surf 1 0.8 0.6 0.4
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daspect the window). This means set
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2date Purpose Current date string S
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Examples Convert a date string to a
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dateform (number) dateform (string)
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2datetick Purpose Label tick lines
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datetick('x',11) % Replace x-axis t
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ans = See Also clock, datenum, date
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See Also dbcont, dbdown, dbquit, db
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2dbdown Purpose Change local worksp
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dblquad The integrnd function integ
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2dbquit Purpose Quit debug mode Gra
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2dbstatus Purpose List all breakpoi
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2dbstop Purpose Set breakpoints in
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Examples The file buggy, used in th
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2dbtype Purpose List M-file with li
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2ddeadv Purpose Set up advisory lin
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2ddeexec Purpose Send string for ex
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2ddepoke Purpose Send data to appli
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2ddereq Purpose Request data from a
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2ddeterm Purpose Terminate DDE conv
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2deal Purpose Deal inputs to output
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2deblank Purpose Strip trailing bla
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2dec2bin Purpose Decimal to binary
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2deconv Purpose Deconvolution and p
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2del2 Purpose Discrete Laplacian Sy
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See Also diff, gradient V = 4*del2(
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Visualization Use one of these func
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1 0.5 0 −0.5 −1 15 delaunay Nex
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2delaunay3 Purpose 3-D Delaunay tes
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delaunay3 [2] National Science and
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3 9 1 5 2 9 1 6 2 3 9 4 2 3 9 1 7 9
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2delete Purpose Delete files or gra
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2delete (serial) Purpose Remove a s
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2depfun Purpose List the dependent
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depfun not examine the files on whi
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2det Purpose Matrix determinant Syn
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y = -0.0000 1.0000 -2.0000 1.0000 0
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2diag Purpose Diagonal matrices and
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2dialog Purpose Create and display
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2diff Purpose Differences and appro
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2dir Purpose Display directory list
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2disp Purpose Display text or array
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2display Purpose Overloaded method
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2divergence Purpose Computes the di
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2dlmread Purpose Read an ASCII deli
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2dmperm Purpose Dulmage-Mendelsohn
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2docopt Purpose Display location of
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To open the notepad editor and retu
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2double Purpose Convert to double-p
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2drawnow Purpose Complete pending d
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2dsearchn Purpose n-D nearest point
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2edit Purpose Edit or create M-file
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2eig Purpose Find eigenvalues and e
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Examples The matrix eigenvalues, it
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2eigs Purpose Find a few eigenvalue
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eigs(A,K,sigma,opts) and eigs(A,B,k
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[dum,ind] = sort(abs(d)); plot(dlm,
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(lambda - 4.0), where lambda is an
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2ellipj Purpose Jacobi elliptic fun
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2ellipke Purpose Complete elliptic
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2ellipsoid Purpose Generate ellipso
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2elseif Purpose Conditionally execu
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2end Purpose Terminate for, while,
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2eomday Purpose End of month Syntax
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2erf, erfc, erfcx, erfinv, erfcinv
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2error Purpose Display error messag
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errorbar(X,Y,E) 1.4 See Also LineSp
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displays this dialog box on a UNIX
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2etree Purpose Elimination tree Syn
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2eval Purpose Execute a string cont
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2evalc Purpose Evaluate MATLAB expr
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Limitation evalin cannot be used re
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If item is a Java class, then exist
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2exit Purpose Terminate MATLAB (sam
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2expint Purpose Exponential integra
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expm Notice that the diagonal eleme
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2ezcontour Purpose Easy to use cont
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ezcontour See Also contour, ezconto
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f( x, y) 31 ( - x) 2e x2 - ( y + 1)
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2ezmesh Purpose Easy to use 3-D mes
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2ezmeshc Purpose Easy to use combin
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2ezplot Purpose Easy to use functio
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2ezplot3 Purpose Easy to use 3-D pa
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2ezpolar Purpose Easy to use polar
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sqrt(x.^2 + y.^2); is written as: e
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2ezsurfc Purpose Easy to use combin
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See Also ezcontour, ezcontourf, ezm
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Symbols ! 2-22 - 2-10 % 2-22 & 2-20
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eta function (defined) 2-144 incomp
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colamd 2-277 colmmd 2-279 Color Axe
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dbclear 2-378 dbcont 2-380 dbdown 2
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ellipj 2-481 ellipke 2-483 elliptic
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help files, location for UNIX 2-457
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mldivide (M-file function equivalen
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sound files reading 2-76 writing 2-
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ZGrid, Axes property 2-114 ZLim, Ax
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