RE: [Fwd: Using the summation operator with GLPK.]

[Meketon, Marc]

Two comments:
1.  GLPK is a linear solver.  If  x  and  y  are variables, then (x^i)(y^j) is a non-linear term in the unknowns  x  and  y.

2.  It is not clear from your description what is  i  and  j.

 

-Marc

 

From: Help-glpk <help-glpk-bounces@gnu.org> On Behalf Of Andrew Makhorin
Sent: Tuesday, November 1, 2022 6:04 AM
To: help-glpk@gnu.org
Subject: [Fwd: Using the summation operator with GLPK.]

 

 

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Date: Mon, 31 Oct 2022 20:46:36 +0000

Subject: Using the summation operator with GLPK.

To: help-glpk@gnu.org <help-glpk@gnu.org>

From: philliprusso <philliprusso@proton.me>

So from reading the documentation I guess that GLPK can read a file in and that there are a number of formats to be using. So I would like to start using GLPK in the C++ language for Ubuntu 18.0.45 LTS that I am using for the windows subsystem for linux and visual studio code.

 

The problem I am trying to solve is using the summation operator. In latex format it goes like this:

 

(For a point list P(x,y)_{n}

 

\sum {k=0}^{n} \alpha_{k}*x^{i}*y^{j}

 

The summation with the value k and permuting n times over the formula alpha of k multiplied by x to the i power multiplied by y to the j power.

 

This is the formula for a 2D problem for a finite element analysis coming from the book Analysis of Structures and Material Behaviors for Kindle. The number of terms is said to formulate to (n+1)(n+2)/2.

 

Does GLPK handle the summation operator somehow. Can I see some example of how to implement such a problem with a GLPK file format (any format that works is great) and or how to calculate this thing. The trouble I have is that with the inclusion of i and j with the summation operator I couldn't find a calculator available on the internet that can handle such a thing and also so far I have been unable to get help from anyone that knows how to. Thank You! Any type of help would be greatly appreciated.

 

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