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authorShashank2017-05-29 12:40:26 +0530
committerShashank2017-05-29 12:40:26 +0530
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+// Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+// Copyright (C) ????-2008 - INRIA
+//
+// This file must be used under the terms of the CeCILL.
+// This source file is licensed as described in the file COPYING, which
+// you should have received as part of this distribution. The terms
+// are also available at
+// http://www.cecill.info/licences/Licence_CeCILL_V2.1-en.txt
+
+
+function [N,D]=lcmdiag(H,flag)
+ //returns N and diagonal D
+ //such that:
+ // flag='row' => H=D^(-1)*N and D(k,k)=lcm of kth row of H('den')
+ // flag='col' => H=N*D^(-1) and D(k,k)=lcm of kth col of H('den')
+ // default flag = 'col'
+
+ if (type(H)<>2 & type(H)<>16) then
+ error(msprintf(_("%s: Wrong type for argument #%d: Real Matrix of Polynomials expected.\n"), "lcmdiag", 1));
+ end
+
+ Num = H("num");
+ Den = H("den");
+ [m, n] = size(H);
+ D = []; N = [];
+ [lhs, rhs] = argn(0);
+ if rhs==1 then
+ flag = "col";
+ elseif type(flag)<>10 then
+ error(msprintf(_("%s: Wrong type for argument #%d: String expected.\n"), "lcmdiag", 2));
+ end
+ select flag
+ case "row"
+ for k = 1:m
+ [pgcd, fact] = lcm(Den(k, :)); //H(k,:)=(Num(k,:).*fact)/pgcd
+ D = diag([diag(D); pgcd]);
+ N = [N; Num(k, :).*fact];
+ end
+ case "col"
+ for k = 1:n
+ [pgcd, fact] = lcm(Den(:, k));
+ D = diag([diag(D); pgcd]);
+ N = [N, Num(:, k).*fact];
+ end
+ else
+ error(msprintf(_("%s: Wrong value for argument #%d: %s or %s expected.\n"), "lcmdiag", 2, "row", "col"));
+ end
+
+endfunction