41 lines
890 B
Mathematica
41 lines
890 B
Mathematica
|
function y = sdpcone(varargin)
|
||
|
|
%SDPCONE Defines a semidefinite constraint X>=0
|
||
|
|
%
|
||
|
|
% Input
|
||
|
|
% z : Linear SDPVAR object.
|
||
|
|
% h : Linear scalar SDPVAR object
|
||
|
|
%
|
||
|
|
% Example
|
||
|
|
%
|
||
|
|
% A standard SDP constraint normally written as [X>=0] is defined with
|
||
|
|
% F = sdpcone(X)
|
||
|
|
%
|
||
|
|
% The typical use though is when we want to define a large number of
|
||
|
|
% constraint without overhead. By stacking N matrices of size nxn, sdpcone
|
||
|
|
% defines N SDP constraints directly, without any analysis or check for
|
||
|
|
% symmetry etc
|
||
|
|
%
|
||
|
|
% X = sdpvar([5 5 5],[5 5 5]);
|
||
|
|
% F = sdpcone([X{:}]);
|
||
|
|
%
|
||
|
|
% Alternatively
|
||
|
|
% F = sdpcone(X{:});
|
||
|
|
%
|
||
|
|
% See also @SDPVAR/CONE, @SDPVAR/RCONE
|
||
|
|
|
||
|
|
try
|
||
|
|
y = [varargin{:}];
|
||
|
|
catch
|
||
|
|
error('All matrices must have the same dimension.')
|
||
|
|
end
|
||
|
|
|
||
|
|
[n,m] = size(y);
|
||
|
|
if n == m
|
||
|
|
y = y>=0;
|
||
|
|
return
|
||
|
|
end
|
||
|
|
if rem(m,n)
|
||
|
|
error('This cannot be N stacked nxn matrices.');
|
||
|
|
end
|
||
|
|
y.typeflag = 57;
|
||
|
|
y=lmi(y);
|