gsnd.m

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function p = gsnd(S,minsep,ntries);% GSND : Geometric spectral nested dissection ordering.%% p = gsnd(S,minsep,ntries).  Nested dissection ordering of S.% For a symmetric positive definite matrix S, this returns% a nested dissection permutation p, so that S(p,p) tends to % have a sparser Cholesky factor than S.  %% minsep   (optional, default 3) is the smallest subgraph that will%          be separated recursively.% ntries   (optional, default 20) is the number of random choices%          to try for each separator.  %% With no output argument, gsnd reports statistics % and draws a picture of the elimination tree.%% See also GSPART, NDPERM, SPECND, GEOND.%% John Gilbert and Shanghua Teng, 1992-1993.% Copyright (c) 1990-1996 by Xerox Corporation.  All rights reserved.% HELP COPYRIGHT for complete copyright and licensing notice.%% Modified by John Gilbert for Matlab 6, Feb 2002if nargin < 2, minsep = 3; end  % This is the minsep default.if minsep < 3, minsep = 3; end  % No point in separating less than 3 vertices.if nargin < 4    ntries = 20;end;p = ndperm('gspart',minsep,S,0,ntries);if nargout == 0    Sp = S(p,p);    analyze(Sp);    etreeplotg(Sp);    title('Geometric Spectral Nested Dissection');end;

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