solution for the system of equations

[MITHOOON]

I have the following system of equations:

90x1+85x2+55x3+52x4=900;

2.5x1+4.5x2+35x3+34x4=800;

 Since the number of unknowns are more than the number of equations, the system is underdetermined. So it has infinite number of solutions. But I need only the positive solutions. That is, the valuse of the unknwns should be greater than zero. Is there any way to find the solution in labview?

[Norbert_B]

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@MITHOOON wrote:

[...] Is there any way to find the solution in labview?

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Sure there is.... if you write a program which does this. LV is a programming language, not a mathematical script solver.

Before going into implementation, you have to know how you want to achieve a result.

For example: You could implement a program which plots the result of the first equation, left part, depending on X. You could mark all instances in the graph where the value equals 900.

Repeat this for the second equation. Any X which is a valid solution for first AND second plot is a result you are looking for.

There are, however, better methods. Most of them are listed in technical literature.....

Norbert

[Alexander_Sobolev]

What do you call a solution?

4D matrix with marked surface? = list of (x1, x2, x3, x4) values on some grid.

Analytical description of the surface (expressions of the lines limiting 2D flat surface in 4D space)?

Program that gives you x1 and x2 if you set other variables?

[Norbert_B]

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@Alexander_Sobolev wrote:

What do you call a solution?

4D matrix with marked surface? = list of (x1, x2, x3, x4) values on some grid.

Analytical description of the surface (expressions of the lines limiting 2D flat surface in 4D space)?

Program that gives you x1 and x2 if you set other variables?

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I assume that this should not be x1, x2, x3,... but x^1, x^2, x^3, ...

OP: Could you clarify?

Norbert

[Bob_Schor]

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@Norbert_B wrote:

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I assume that this should not be x1, x2, x3,... but x^1, x^2, x^3, ...

OP: Could you clarify?

Norbert

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Norbert,

     I think x1 is x-sub-1, not x-to-the-first-power.  It looks like he's trying to solve a system of linear equations, where there are fewer equations than unknowns (4 unknowns, x1, x2, x3, x4 a.k.a. x, y, z, and w).

BS

[MITHOOON]

Hii Nobert,

                 How to plot an equation with 4 unknowns?!!!  4D plot?

[Norbert_B]

If Bob is correct, the proposal with the graph is of course quite difficult.

However, the question is more a generic computer science question (building an algorithm or find suitable existing methods) rather a LV question.

Norbert