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

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icg 2-150 [L1,U1] = luinc(A,1e-5); Warning: Incomplete upper triangular factor has 1 zero diagonal. It cannot be used as a preconditioner for an iterative method. nnz(A) ans = nnz(L1) ans = nnz(U1) ans = 1887 5562 4320 The zero on the main diagonal of the upper triangular U1 indicates that U1 is singular. If you try to use it as a preconditioner, [x,flag,relres,iter,resvec] = bicg(A,b,1e-6,20,L1,U1) flag = relres = iter = resvec = 2 1 0 7.0557e+005 the method fails in the very first iteration when it tries to solve a system of equations involving the singular U1 using backslash. bicg is forced to return the initial estimate since no other iterates were produced. Try again with a slightly less sparse preconditioner. [L2,U2] = luinc(A,1e-6) nnz(L2) ans = nnz(U2) ans = 6231
4559 This time U2 is nonsingular and may be an appropriate preconditioner. [x,flag,relres,iter,resvec] = bicg(A,b,1e-15,10,L2,U2) flag = relres = iter = 0 2.0248e-16 8 and bicg converges to within the desired tolerance at iteration number 8. Decreasing the value of the drop tolerance increases the fill-in of the incomplete factors but also increases the accuracy of the approximation to the original matrix. Thus, the preconditioned system becomes closer to inv(U)*inv(L)*L*U*x = inv(U)*inv(L)*b, where L and U are the true LU factors, and closer to being solved within a single iteration. The next graph shows the progress of bicg using six different incomplete LU factors as preconditioners. Each line in the graph is labeled with the drop tolerance of the preconditioner used in bicg. bicg 2-151
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MATLAB® MATLAB Function Reference
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1 Functions By Category Development
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Functions By Category 1
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Development Environment Development
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ls List directory on UNIX matlabroo
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Mathematics Mathematics Functions f
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Slash or right matrix divide ' Tran
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Matrix Analysis cond Condition numb
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atan, atanh Inverse tangent and inv
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Correlation corrcoef Correlation co
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Convex Hull convhull Convex hull co
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etainc Incomplete beta function bet
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Tree Operations etree Elimination t
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permute Rearrange dimensions of mul
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int8 Convert to signed 8-bit intege
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Array Manipulation : Specify range
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itxor Bit-wise XOR Relational Opera
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evalc Evaluate MATLAB expression wi
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methodsview Display information on
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open Open files of various types us
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Microsoft WAVE Sound Functions wavp
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gtext Place text on 2-D graph using
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tsearch Search for enclosing Delaun
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3-D Visualization 3-D Visualization
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• Selecting Region of Interest Co
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Creating Graphical User Interfaces
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Controlling Program Execution uires
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Alphabetical List of Functions 2
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axis . . . . . . . . . . . . . . .
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clear . . . . . . . . . . . . . . .
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dbup . . . . . . . . . . . . . . .
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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
Page 153 and 154: CameraView Angle [0 1 0] (positive
Page 155 and 156: Color {none} | ColorSpec Axes Prope
Page 157 and 158: X-, Y-, Z-Limits following table de
Page 159 and 160: Axes Properties FontName A name suc
Page 161 and 162: Axes Properties When a handle’s v
Page 163 and 164: Axes Properties • replacechildren
Page 165 and 166: Axes Properties define object handl
Page 167 and 168: Visible {on} | off Axes Properties
Page 169 and 170: XMinorGrid, YMinorGrid, ZMinorGrido
Page 171 and 172: 2axis Purpose Axis scaling and appe
Page 173 and 174: Examples The statements axis off tu
Page 175 and 176: 5 4.5 4 3.5 3 2.5 2 1.5 1 0.5 axis(
Page 177 and 178: 2balance Purpose Improve accuracy o
Page 179 and 180: Now the eigenvectors are well behav
Page 181 and 182: ar, barh distinct elements and show
Page 183 and 184: See Also bar3, ColorSpec, patch, st
Page 185 and 186: ar3, bar3h •'stacked' displays on
Page 187 and 188: See Also bar, LineSpec, patch 1 0.5
Page 189 and 190: 2beep Purpose Produce a beep sound
Page 191 and 192: [H,ierr] = besselh(...) also return
Page 193 and 194: esseli, besselk and the other is a
Page 195 and 196: 2besselj, bessely Purpose Bessel fu
Page 197 and 198: 0.19602657795532 0.28670098806392 0
Page 199 and 200: 1/168 1/252 1/360 1/495 1/660 In th
Page 201 and 202: Examples Example 1. bicg(afun,b,tol
Page 203: flag = relres = iter = 1 1 0 The va
Page 207 and 208: time to precondition and converge t
Page 209 and 210: Example Example 1. bicgstab bicgsta
Page 211 and 212: icgstab flag2 is 0 because bicgstab
Page 213 and 214: 2bin2dec Purpose Binary to decimal
Page 215 and 216: 2bitcmp Purpose Complement bits Syn
Page 217 and 218: 2bitmax Purpose Maximum floating-po
Page 219 and 220: 2bitset Purpose Set bit Syntax C =
Page 221 and 222: 2bitxor Purpose Bit-wise XOR Syntax
Page 223 and 224: 2blkdiag Purpose Construct a block
Page 225 and 226: 2break Purpose Terminate execution
Page 227 and 228: 2builtin Purpose Execute builtin fu
Page 229 and 230: parameters Optional. A vector that
Page 231 and 232: function dydx = twoode(x,y) dydx =
Page 233 and 234: fprintf('The fourth eigenvalue is a
Page 235 and 236: 2bvpget Purpose Extract properties
Page 237 and 238: solinit is a structure with the fol
Page 239 and 240: Property Value Description Vectoriz
Page 241 and 242: 2calendar Purpose Calendar Syntax c
Page 243 and 244: camdolly Remarks camdolly sets the
Page 245 and 246: Examples This example creates a lig
Page 247 and 248: See Also campos, camtarget camlooka
Page 249 and 250: end camorbit Rotation in the camera
Page 251 and 252: 2campos Purpose Set or query the ca
Page 253 and 254: 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
Page 607 and 608:
sound files reading 2-76 writing 2-
Page 609:
ZGrid, Axes property 2-114 ZLim, Ax
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