Solving linear underdetermined systems

I need to find a solution x of an undetermined system of the type Ax=b, such that all elements of x are within a certain range (if such solution exists). I presume there is no way to do this in a straightforward manner.Thus, any books/articles on the subject are welcome.

Answer 1

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Found an answer (or at least an easy way to get to the answer) here: http://stackoverflow.com/questions/16365723/find-positive-solutions-to-underdetermined-linear-system-of-equations