Mercurial > hg > octave-nkf
comparison scripts/sparse/spaugment.m @ 14327:4d917a6a858b stable
doc: Use Octave coding conventions in @example blocks of docstrings.
* accumarray.m, accumdim.m, bar.m, base2dec.m, bincoeff.m, bitcmp.m, bitset.m,
celldisp.m, chop.m, clabel.m, cloglog.m, colon.m, compass.m, computer.m,
contour3.m, contourc.m, corr.m, cstrcat.m, ctime.m, cylinder.m, date.m,
dec2base.m, demo.m, dir.m, dlmwrite.m, expm.m, ezcontourf.m, ezcontour.m,
ezmeshc.m, ezmesh.m, ezplot.m, ezsurfc.m, ezsurf.m, feather.m, findobj.m,
flipdim.m, fplot.m, genvarname.m, getfield.m, hankel.m, hilb.m, hist.m,
idivide.m, index.m, int2str.m, interp1.m, is_leap_year.m, ismember.m,
isocolors.m, isonormals.m, isosurface.m, kurtosis.m, legendre.m, linkprop.m,
logit.m, logm.m, __makeinfo__.m, __marching_cube__.m, median.m, mkoctfile.m,
moment.m, mpoles.m, orderfields.m, pcg.m, pcr.m, plot3.m, plotmatrix.m,
polyaffine.m, polygcd.m, poly.m, polyout.m, print.m, qp.m, quadgk.m, qzhess.m,
randi.m, rat.m, refreshdata.m, residue.m, rose.m, rot90.m, saveas.m, saveobj.m,
shiftdim.m, skewness.m, spaugment.m, spdiags.m, sqp.m, stem.m, str2num.m,
strcat.m, strjust.m, strread.m, strsplit.m, structfun.m, subplot.m,
subsindex.m, substruct.m, surfl.m, surfnorm.m, svds.m, uimenu.m, union.m,
voronoi.m, warning_ids.m, wblpdf.m: Use Octave coding conventions in
@example blocks of docstrings.
author | Rik <octave@nomad.inbox5.com> |
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date | Sat, 04 Feb 2012 22:12:50 -0800 |
parents | 72c96de7a403 |
children | f3d52523cde1 |
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14325:a646cee995cf | 14327:4d917a6a858b |
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20 ## @deftypefn {Function File} {@var{s} =} spaugment (@var{A}, @var{c}) | 20 ## @deftypefn {Function File} {@var{s} =} spaugment (@var{A}, @var{c}) |
21 ## Create the augmented matrix of @var{A}. This is given by | 21 ## Create the augmented matrix of @var{A}. This is given by |
22 ## | 22 ## |
23 ## @example | 23 ## @example |
24 ## @group | 24 ## @group |
25 ## [@var{c} * eye(@var{m}, @var{m}),@var{A}; @var{A}', zeros(@var{n}, | 25 ## [@var{c} * eye(@var{m}, @var{m}), @var{A}; |
26 ## @var{n})] | 26 ## @var{A}', zeros(@var{n}, @var{n})] |
27 ## @end group | 27 ## @end group |
28 ## @end example | 28 ## @end example |
29 ## | 29 ## |
30 ## @noindent | 30 ## @noindent |
31 ## This is related to the least squares solution of | 31 ## This is related to the least squares solution of |
32 ## @code{@var{A} \\ @var{b}}, by | 32 ## @code{@var{A} \ @var{b}}, by |
33 ## | 33 ## |
34 ## @example | 34 ## @example |
35 ## @group | 35 ## @group |
36 ## @var{s} * [ @var{r} / @var{c}; x] = [@var{b}, zeros(@var{n}, | 36 ## @var{s} * [ @var{r} / @var{c}; x] = [ @var{b}, zeros(@var{n}, columns(@var{b})) ] |
37 ## columns(@var{b})] | |
38 ## @end group | 37 ## @end group |
39 ## @end example | 38 ## @end example |
40 ## | 39 ## |
41 ## @noindent | 40 ## @noindent |
42 ## where @var{r} is the residual error | 41 ## where @var{r} is the residual error |
51 ## error will be @code{zeros (@var{m}, @var{m})} for under determined | 50 ## error will be @code{zeros (@var{m}, @var{m})} for under determined |
52 ## problems, and example can be | 51 ## problems, and example can be |
53 ## | 52 ## |
54 ## @example | 53 ## @example |
55 ## @group | 54 ## @group |
56 ## m = 11; n = 10; mn = max(m ,n); | 55 ## m = 11; n = 10; mn = max (m, n); |
57 ## A = spdiags ([ones(mn,1), 10*ones(mn,1), -ones(mn,1)], | 56 ## A = spdiags ([ones(mn,1), 10*ones(mn,1), -ones(mn,1)], |
58 ## [-1, 0, 1], m, n); | 57 ## [-1, 0, 1], m, n); |
59 ## x0 = A \ ones (m,1); | 58 ## x0 = A \ ones (m,1); |
60 ## s = spaugment (A); | 59 ## s = spaugment (A); |
61 ## [L, U, P, Q] = lu (s); | 60 ## [L, U, P, Q] = lu (s); |