Solve a variable-size array of linear eqns

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Hi,

I need to solve some (between 2 and 20, say) linear equations. Up til now I calculate the expressions in a loop, saving them in an array, e.g.

 6
 3 + 2*Y1
 10 +0.5*Y1 - 3*Y2

and then I manually run:

A = solve('Y1=6','Y2=3+2*Y1','Y3=10+0.5*Y1-3*Y2','Y1','Y2','Y3')

I want to be able to save any number of these expressions and pass an array of them as input to the 'solve' function, so something like:

A = solve(Y)

Is this possible?

Thanks

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Answer 1

Andrew Newell 2011-6-22

在 MATLAB Online 中打开

0 个投票

It would be much faster to express this as a matrix equation, e.g.,

M = [1 0 0; -2 1 0; -0.5 3 1];
b = [6; 3; 10];
y = M\b % solve M*y = b

Or, if you prefer a symbolic solution,

M = sym([1 0 0; -2 1 0; -0.5 3 1]);
b = sym([6; 3; 10]);
y = M\b

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eCon 2011-6-22

Thanks!

Embarrassed I didn't see this myself. I had to rework some of the earlier code to get it into a format where I could use your solution, but it's much easier than the route I was taking.

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