How to solve an equation of the form A (matrix) x(vector) = b(vector) and a constant c where I have to find x and c, and x is only positive?

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German Preciat Gonzalez
回答： Star Strider 2016-12-4
Hi, I have a matrix A
A =[1 1 2 2 0 0;
1 1 2 2 0 0;
0 0 0 1 0 0;
0 0 0 1 0 0;
3 0 0 0 0 0;
3 0 0 0 0 0;
3 0 0 0 1 0;
3 0 0 0 1 0;
3 0 0 0 1 0;
3 0 1 1 1 0;
3 0 1 1 1 0;
3 0 2 0 0 1;
3 0 2 0 0 1];
and a vector b
b = [64.20; 42.60; 14.60; 5.75; 30.40; 27.20; 36.50; 25.40; 40.60; 38.90; 15.50; 38.40; 35.30];
if I use linesolve, I have
x =
9.6000
57.7333
-17.1417
10.1750
5.3667
42.3333
but negative values are nor realistic, I was planning to use linear programming but I'm not sure if is the way to go since I also need to have a constant (which can be negative) so I can have
Axc=b
Can you recommend me something?
Thanks!

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采纳的回答

Star Strider
Star Strider 2016-12-4
If you want to avoid negative parameters, use the lsqnonneg function.
Example:
x = lsqnonneg(A,b)
x =
9.6
36.306
0
3.7469
1.0813
8.05

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KSSV
KSSV 2016-12-4
Doc mldivide
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