Solving linear set of equations
2 visualizzazioni (ultimi 30 giorni)
Mostra commenti meno recenti
Hi,
I have a linear set of equations Ax=b, where A is not square (more variables than equations), A and b members is of integer type, and the vector x members needs to be integer>=0. which function from the MATLAB C++ math library can I use to solve this equation? (inv() works on square, non-singular matrixes) I would also like MATLAB to warn me if there is no solution..
0 Commenti
Risposta accettata
Walter Roberson
il 8 Ago 2011
What you describe would essentially be a set of simultaneous knapsack problems; such problems are not solvable by linear equation methods. See http://en.wikipedia.org/wiki/Knapsack_problem
2 Commenti
Walter Roberson
il 8 Ago 2011
I did not say the problem was not solvable: I said it is not solvable using linear equation methods. The "\" operator cannot solve these kinds of equations over integers.
Consider that if you were to allow your x to be negative as well, what you would be describing would be a set of simultaneous linear Diophontine equations, http://en.wikipedia.org/wiki/Diophantine_equation . These are not solved using linear algebra.
Più risposte (0)
Vedere anche
Categorie
Scopri di più su Linear Algebra in Help Center e File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!