solve many independent equation in a run

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Xin
Xin 2016-11-15
回答： Walter Roberson 2016-11-15
I have many independent non-linear equations, for example
a1+x1*log(x1-b1) - (x1-c1)*log(x1-d1) = 0
a2+x2*log(x2-b2) - (x2-c2)*log(x2-d2) = 0
a3+x3*log(x3-b3) - (x3-c3)*log(x3-d3) = 0
a4+x4*log(x4-b4) - (x4-c4)*log(x4-d4) = 0
where I want to solve for x1 x2 x3 x4, which are independent of each other.
Instead of writing a boring loop to solve for each equation, is there any fast and elegant way to get the solution in a vector within a sentence.
Many thanks
Xin

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Walter Roberson
Walter Roberson 2016-11-15
syms x1 x2 x3 x4
sol = vpasolve( [ a1 + log(x1 - d1)*(c1 - x1) + x1*log(x1 - b1), a2 + log(x2 - d2)*(c2 - x2) + x2*log(x2 - b2), a3 + log(x3 - d3)*(c3 - x3) + x3*log(x3 - b3), a4 + log(x4 - d4)*(c4 - x4) + x4*log(x4 - b4)], [x1, x2, x3, x4])

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