Abstract
We analyse the problem of constrained minimization of the real quadratic functional, subject to the inconsistent system of linear equations, where is a positive definite or positive semidefinite matrix. Both cases are analysed separately, and respective relationships have been established between the solution of the original problem and the Drazin-inverse solution of the equation. In the special case when is a positive definite and, we show that the solution of the problem can be represented as a particular-inverse solution.
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