Re: optimiztion problem with complex numbers

zingas <shammashahbaz@xxxxxxxxx> wrote in message <9ca0d008-b8e8-
4561-9935-5a88123d1de5@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>...
hi
i want to solve a linear equation problem with determined or
undetermined equation (but probably determined equation) but it
involves complex numbers .....is there any softaware available on the
internet which can solve my following equation

(3 + 2i) x[1] + (0.83- 0.16i]) x[2] + (0.4- 0.6i]) x[3] - (0.25+
1.25i]) x[4])=0

-(0.25 +1.25i]) x[1] + (3 + 2i]) x[ 2] + (0.83- 0.16i] x[3] + (0.4-
0.6i]) x[4])=0

(0.4- 0.6i) x[1]-(0.25+ 1.25i) x[2] + (3 + 2i]) x[3] + (0.83- 0.16i)
x[4])=0

(0.83- 0.16i) x[1]+(0.4- 0.6i]) x[2] -(0.25+ 1.25i]) x[3] + (3 + 2i])
x[4])=0

{x[1] > 0, x[2] > 0, x[3] > 0, x[4] > 0}

when you make the statement that

x(1) > 0

this makes no sense for a complex number.
Does your inequality apply only to the real
part of x?

Do you presume that a solution exists for
real valued x? Or may the unknowns be
complex?

This is really a linear system of 8 equations,
in 8 real valued unknowns, subject to bound
(non-negativity) constraints on 4 of the
unknowns. If you force the parameters to
take on only real values, then in general no
exact solution will exist, since then you will
have a linear system of 8 equations in only 4
unknowns.

John
.

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