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From: André Santos on 11 May 2010 14:22
Hi!

I'm using the following commands to get the simbolic expressions of A1, A1I, A2 and A2I:

a=1
eq1='(A1+A1I*i)-(A1-A1I*i)+(A2+A2I*i)-(A2-A2I*i)-Ty(a)/(2*Pi()*i)';

eq2='Srot(1)*(A1+A1I*i)-conj(Srot(1))*(A1-A1I*i)+Srot(2)*(A2+A2I*i)-conj(Srot(2))*(A2-A2I*i)+Tx(a)/(2*Pi()*i)';

eq3='(Srot(1)^2)*(A1+A1I*i)-(conj(Srot(1))^2)*(A1-A1I*i)+(Srot(2)^2)*(A2+A2I*i)-(conj(Srot(2))^2)*(A2-A2I*i)+(InvA(1,2)*Ty(a))/(2*Pi()*i*InvA(1,1))+(InvA(1,3)*Tx(a))/(2*Pi()*i*InvA(1,1))';

eq4='(A1+A1I*i)/Srot(1)-(A1-A1I*i)/conj(Srot(1))+(A2+A2I*i)/Srot(2)-(A2-A2I*i)/conj(Srot(2))-(InvA(1,2)*Tx(a))/(2*Pi()*i*InvA(2,2))-(InvA(2,3)*Ty(a))/(2*Pi()*i*InvA(2,2))';
EQA= solve(eq1,eq2,eq3,eq4);

I get the following error:
Warning: Warning, solutions may have been lost
Warning: Explicit solution could not be found.

Tx and Ty are arrays that were already calculated and have the size size Tx(17) and Ty(17). If I put in the above equations for example Tx(1) and Ty(1) instead of Tx(a) and Ty(a) I get the solution I want. Since I want to loop variable a I'm stuck! Any thoughts on how can I solve this problem?

Thank you for your time and attention!
From: Walter Roberson on 11 May 2010 15:14
André Santos wrote:
> I'm using the following commands to get the simbolic expressions of A1,
> A1I, A2 and A2I:
>
> a=1
> eq1='(A1+A1I*i)-(A1-A1I*i)+(A2+A2I*i)-(A2-A2I*i)-Ty(a)/(2*Pi()*i)';
>
> eq2='Srot(1)*(A1+A1I*i)-conj(Srot(1))*(A1-A1I*i)+Srot(2)*(A2+A2I*i)-conj(Srot(2))*(A2-A2I*i)+Tx(a)/(2*Pi()*i)';
>
>
> eq3='(Srot(1)^2)*(A1+A1I*i)-(conj(Srot(1))^2)*(A1-A1I*i)+(Srot(2)^2)*(A2+A2I*i)-(conj(Srot(2))^2)*(A2-A2I*i)+(InvA(1,2)*Ty(a))/(2*Pi()*i*InvA(1,1))+(InvA(1,3)*Tx(a))/(2*Pi()*i*InvA(1,1))';
>
>
> eq4='(A1+A1I*i)/Srot(1)-(A1-A1I*i)/conj(Srot(1))+(A2+A2I*i)/Srot(2)-(A2-A2I*i)/conj(Srot(2))-(InvA(1,2)*Tx(a))/(2*Pi()*i*InvA(2,2))-(InvA(2,3)*Ty(a))/(2*Pi()*i*InvA(2,2))';
>
> EQA= solve(eq1,eq2,eq3,eq4);

> I get the following error:
> Warning: Warning, solutions may have been lost
> Warning: Explicit solution could not be found.

> Tx and Ty are arrays that were already calculated and have the size size
> Tx(17) and Ty(17). If I put in the above equations for example Tx(1) and
> Ty(1) instead of Tx(a) and Ty(a) I get the solution I want. Since I want
> to loop variable a I'm stuck! Any thoughts on how can I solve this problem?

When you pass a string as a parameter to solve() rather than using a symbolic
expression, then the string is interpreted at the level of the symbolic engine
rather than as a symbolic expression intended to references variables in the
current workspace. In particular, the symbolic engine uses [] for subscripts
rather than (), and considers () as indicating a function call. Thus, solve()
would consider your eq2 as starting with a call to the unknown function Srot,
with the parameter 1, rather than as indicating that you want to reference the
Srot vector at location 1.

Also note that at the symbolic engine level, the constant Pi is known as Pi
and not as Pi(), and that the imaginary constant is I rather than i .

Version of eq1 altered according to symbolic engine syntax:

eq1='(A1+A1I*I)-(A1-A1I*I)+(A2+A2I*I)-(A2-A2I*I)-Ty[a]/(2*Pi*I)';

And to confirm, your references to (say) InvA(1,2) would be replaced with
InvA[1,2]
From: André Santos on 11 May 2010 18:54
I haven't found that info in the solve help file! Thank you so much for the valuable tips. Despite my lack of experience, let me know if i can be of any help!

Best Regards,

André Santos
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