Factorization of Quasiseparable Matrices

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Focusing on quasiseparable matrices, this book explores their significance within classical control theory and their relationships to various matrix types like band and tridiagonal matrices. It details a largely unitary method for factoring these matrices, as proposed by Y. Eidelman and I. Gohberg, building on earlier work by P. M. Dewilde and A. J. van der Veen. The text not only elaborates on the factorization techniques but also examines the stability of the factorization process, providing a comprehensive understanding of these mathematical concepts.