Talk:Quadratically constrained quadratic program

Quadratic Programming
Is this not the same as Quadratic programming? 68.174.98.161 22:57, 9 August 2007 (UTC)
 * In quadratic programming, the constraints are linear. Here, they are quadratic. -- Jitse Niesen (talk) 00:33, 10 August 2007 (UTC)
 * Oh, I see.. Thanks! 68.174.98.161 18:31, 15 August 2007 (UTC)

The statement "If P0, … Pm are all positive semidefinite then the problem is convex." is correct, but the link to the convex set is somewhat misleading. A convex program is not quite the same as a convex set.

The statement "If these matrices are neither positive or negative semidefinite, the problem is non-convex" is technically correct but quite misleading. Apart from trivial cases, if a single matrix is not positive semidefinite then the problem is nonconvex. —Preceding unsigned comment added by Alexander.mitsos (talk • contribs) 14:36, 1 November 2010 (UTC)

Equality Constraints
I am still not able to verify this, but as far as I can understand, even though equality constraints can be written in the format required by QCQP and (at least for some cases) satisfy the semi-definiteness restriction, they make the problem non-convex. If such can be verified, this exception should definitely be included in the text. Since I cannot find references to this I have posted a question here: https://math.stackexchange.com/questions/1602137/quadratic-equality-constrained-quadratic-program-and-convexity

External links modified
Hello fellow Wikipedians,

I have just modified 2 one external links on Quadratically constrained quadratic program. Please take a moment to review my edit. If you have any questions, or need the bot to ignore the links, or the page altogether, please visit this simple FaQ for additional information. I made the following changes:
 * Added archive http://web.archive.org/web/20140418060100/http://openopt.org:80/QCQP to http://openopt.org/QCQP
 * Added archive http://web.archive.org/web/20140826201132/http://openopt.org/Problems to http://openopt.org/Problems

When you have finished reviewing my changes, please set the checked parameter below to true or failed to let others know (documentation at ).

Cheers.— InternetArchiveBot  (Report bug) 12:10, 21 July 2016 (UTC)

Ax=b unexplained
The constraint Ax=b is unclear here: are A and b just any two vectors? But then one could just pick any matrix for A and vector for b. They don't occur anywhere else in the constraints.

I guess they are given, but that could be made clearer.

Niplav (talk) 18:29, 2 March 2022 (UTC)