Titlebook: I. Schur Methods in Operator Theory and Signal Processing; I. Gohberg Book 1986 Springer Basel AG 1986 Operator.Processing.Signalverarbeit

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Ciprian Foiaş,Arthur E. Frazhon during cardiac surgery should describe at least one technique of achieving meticulous hemostasis. I hope residents and junior surgeons will find this chapter useful. Cardiovascular surgeons with several thousand cases behind them may want to investigate subsequent chapters.

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On Power Series Which are Bounded in the Interior of the Unit Circle. I,Theorems 2 and 3 which concern this parametric representation and which have been proven in Section 3. Only a purely computational transformation of the expressions obtained is required in order to get from Theorem 2 to the main result of this paper, which is Theorem 8 in Section 6. From this theore

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I. Schur Methods in Operator Theory and Signal Processing

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On Power Series Which are Bounded in the Interior of the Unit Circle II,Several years ago, E. Landau. proved the following interesting theorem:

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On the Convergence of Schur Parameters for a Toeplitz Matrix with a Meromorphic Symbol,The limit behavior of Schur parameters is investigated when they are associated to Toeplitz matrices of growing size whose entries are the Laurent coefficients of a meromorphic function.

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Condition Numbers of Toeplitz and Block Toeplitz Matrices,Bounds for the condition number are obtained which indicate the dependence of the conditioning of a symmetric positive definite Toeplitz matrix on the sign distribution of its reflection coefficients. This dependence is illustrated with numerical examples. Similar bounds for symmetric positive definite block Toeplitz matrices are also presented.

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