# Solving 2000 Linear equations with apporximation

I am looking for approximately 2000 unknown prices of (health related) activities. The total price of the same amount of products which are build up by the activities are known. This makes the problem a simple linear solving problem where one should solve the matrix equation Ax=b. (A is amount of activities (matrix), x are the unknown prices of the activities (vector) and b is the total price of the product).

It should be simple however Mathematica seems to have trouble with the amount of equations, or the scale of the matrix (2000x2000).

Furthermore, the system cannot be solved uniquely because the prices and amounts are not that accurate. Therefore I need to have an approximation of the prices for each activity, and not the unique solution.

Last but not least, I need a program that ensures that the final outcome of prices are not negative. If one would use a normal Linear Solver (in Mathematica for instance), you sometimes get negative numbers for x_i, which is not possible as I am looking for prices.

A want a program that :

1. Reads a matrix and vector as input

2. Approximates the outcome x with loops, where I can set the ranges in which my prices should lie.

3. As output a vector x which corresponds to a specific activity and that has a price between a predefined range.

A C++ program would do, if you can help install the necessary software on my Windows pc.

Thank you in advance.

Skills: C++ Programming

( 0 reviews ) Netherlands

Project ID: #1132942

## 20 freelancers are bidding on average \$331 for this job

kevinxiaozi

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CreditGroup

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AndraLogician

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Zulqurnain24

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oldasmer

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azumih

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greggfletcher

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zournba

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fredpollard

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kymhorsell

I've taken another look at the problem and maybe latest program does a better job. Will forward today's solution. But just noticed there was another small problem. Still, it gives some confidence it will eventually get More

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VictorGevondyan

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kaloyan23

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