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As shown in Reference 7, the problem can be solvedvia the Newton interpolation scheme, which is known tobecome critical if the eigenvalues pi of A are close. Thefreedom of choice of the parameters si removes thistrouble. Moreover, the recourse to the Newton schemecan be avoided, if we choose the parameters s j , j = 1, . . . ,n, equal to the desired closed-loop eigenvalues. In thiscase, we have, immediately:
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