Re: [Help-glpk] Irrational numbers

[Ali Baharev]

Dear Vijay Patil,

> You are right. I should have used term "repeating decimal" instead of
> "irrational". Should have looked up before using it.

I would rather say not machine / internally representable.

For example 0.1 is neither irrational nor repeating decimal, and still
cannot be represented internally, the hexadecimal image of the
floating point numbers enclosing 0.1 (interval enclosing 0.1) is:

0:3fb:9999999999999
0:3fb:999999999999a

Try out the example program on my homepage or at least have a look at
its output:

http://reliablecomputing.eu/software.html

Check out these software in case of numerical problems, probably one
of them may help you:

Verified SemiDefinite Programming in Matlab-toolbox INTLAB (Prof. Jansson)
http://www.ti3.tu-harburg.de/jansson/vsdp/

Verification software in MATLAB / INTLAB (Prof. Rohn)
http://www.cs.cas.cz/rohn/matlab/index.html

Lurupa in C++ (Keil)
http://www.ti3.tu-harburg.de/~keil/#software

> give optimal integer solution (x_1 = 2, x_2 = 2). Since there are 3 optimal
> integer solutions, it is matter of finding all of them, instead of accepting
> first optimal solution. I need to work on this to find

You probably do not loose solution, and do not have numerical
difficulties; just need to enumerate all integer solutions?

Good luck,

Ali