Line | |
---|
1 | function plin = linearize(p) |
---|
2 | % LINEARIZE Linearize SDPVAR object |
---|
3 | % |
---|
4 | % h = LINEARIZE(p) |
---|
5 | % |
---|
6 | % Returns linearization p(double(x)) + dp(double(x))*(x-double(x)) |
---|
7 | % where x is the SDPVAR variables defining the polynomial p(x) |
---|
8 | % |
---|
9 | % See also SDPVAR, JACOBIAN |
---|
10 | |
---|
11 | % Author Johan Löfberg |
---|
12 | % $Id: linearize.m,v 1.2 2004/07/02 08:17:31 johanl Exp $ |
---|
13 | |
---|
14 | if isa(p,'double') |
---|
15 | plin = zeros(size(p)); |
---|
16 | return |
---|
17 | end |
---|
18 | |
---|
19 | if is(p,'linear') |
---|
20 | plin = p; |
---|
21 | return |
---|
22 | end |
---|
23 | |
---|
24 | x = recover(depends(p)); |
---|
25 | x0 = double(x); |
---|
26 | p0 = double(p); |
---|
27 | |
---|
28 | n = size(p,1); |
---|
29 | m = size(p,2); |
---|
30 | |
---|
31 | if min(n,m)>1 |
---|
32 | plin = []; |
---|
33 | for i = 1:m |
---|
34 | plin = [plin p0(:,i)+double(jacobian(p(:,i),x))*(x-x0)]; |
---|
35 | end |
---|
36 | else |
---|
37 | plin = p0+double(jacobian(p,x))*(x-x0); |
---|
38 | end |
---|
Note: See
TracBrowser
for help on using the repository browser.