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The present paper continues our investigation of an implementation of aleast-squares collocation method for higher-index differential-algebraicequations. In earlier papers, we were able to substantiate the choice of basisfunctions and collocation points for a robust implementation as well asalgorithms for the solution of the discrete system. The present paper isdevoted to an analytic estimation of condition numbers for different componentsof an implementation. We present error estimations, which show the sources forthe different errors.

On the sensitivity of implementations of a least-squares collocation method for linear higher-index differential-algebraic equations