Path: news.mathworks.com!not-for-mail From: <HIDDEN> Newsgroups: comp.soft-sys.matlab Subject: Re: Optmizaing a vector of 1-D functions Date: Thu, 8 Apr 2010 19:47:07 +0000 (UTC) Organization: The MathWorks, Inc. Lines: 16 Message-ID: <hplbrr$o0q$1@fred.mathworks.com> References: <hpl336$p7k$1@fred.mathworks.com> <hpl46p$ffa$1@fred.mathworks.com> <hpl4ui$s0u$1@fred.mathworks.com> <hpl5t1$efe$1@fred.mathworks.com> <hpl73t$5u3$1@fred.mathworks.com> <hpl8ko$1ul$1@fred.mathworks.com> <hplaai$9l$1@fred.mathworks.com> Reply-To: <HIDDEN> NNTP-Posting-Host: webapp-05-blr.mathworks.com Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit X-Trace: fred.mathworks.com 1270756027 24602 172.30.248.35 (8 Apr 2010 19:47:07 GMT) X-Complaints-To: news@mathworks.com NNTP-Posting-Date: Thu, 8 Apr 2010 19:47:07 +0000 (UTC) X-Newsreader: MATLAB Central Newsreader 1187260 Xref: news.mathworks.com comp.soft-sys.matlab:624794 James Allison <james.allison@mathworks.com> wrote in message <hplaai$9l$1@fred.mathworks.com>... > They are independent in the sense that it is possible to evaluate each > function independently, but the functions are coupled through the shared > optimization variable x. If Andrey is seeking a single optimal value of > x for the whole set of objective functions, the tradeoffs between the > objective functions will need to be considered. A value of x that is > best for one function may not be best for another. See my notes about > multi-objective optimization. > > -James --------- That's not my understanding of Andrey's statement, James. In his second article in this thread he wrote: "I mean, I've got a vector-function of one variable: F(x) = (f1(x), ..., fn(x))' where x is a real number. My problem is that I need to attain (x1, ..., xn)' where xj is a maximum of fj(x) over some interval (a,b)." In other words he is *not* "seeking a single optimal value of x for the whole set of objective functions", if we are to accept his statement in the second article. Each of the n optimal values of x is to maximize the corresponding f in his vector of functions. Roger Stafford