1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
|
// 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 [a,u]=hermit(a)
//[A,U]=hermit(A)
//Hermite form: U is an unimodular matrix such that A*U is
//triangular. The output value of A is A*U.
//Warning: Experimental version
//!
if type(a)>2 then
error(msprintf(gettext("%s: Wrong type for input argument: Polynomial array expected.\n"),"hermit"))
end
[m,n]=size(a);
if m<>n then
error(msprintf(gettext("%s: Wrong size for input argument #%d: A square matrix expected.\n" ),"hermit",1))
end
[a,u]=htrianr(a)
for l=n-1:-1:1
dl(l:n)=degree(a(l,l:n));
for k=l+1:n
if dl(k)>=dl(l) then
all=a(l,l);
if norm(coeff(all),1) > 1.d-10 then
[r,q]=pdiv(a(l,k),a(l,l))
if l>1 then a(1:l-1,k)=a(1:l-1,k)-a(1:l-1,l)*q;end
a(l,k)=r
u(:,k)=u(:,k)-u(:,l)*q
end
end
end
end
endfunction
|
