This article extends the classical Schur algorithm to matrix-valued functions that are bounded on the unit circle and have a finite number of Smith–McMillan ...
Also described is a numerically efficient procedure for carrying out the algorithm that involves only scalar operations. Key words. Schur algorithm, tangential ...
This article extends the classical Schur algorithm to matrix-valued functions that are bounded on the unit circle and have a finite number of Smith-McMillan ...
This article extends the classical Schur algorithm to matrix-valued functions that are bounded on the unit circle and have a finite number of Smith-McMillan ...
Feb 27, 2005 · This article extends the classical Schur algorithm to matrix-valued functions that are bounded on the unit circle and have a finite number ...
Jun 6, 2024 · The main goal of this paper is a treatment of the general matrix case by an appropriate adaption of the classical algorithm due to I. Schur.
The main result is that for J= 1 0 0 −1 every J-unitary 2×2-matrix polynomial on the unit circle is an essentially unique product of elementary J-unitary ...
The function h(A) will be called a meromorphic function of A if h(A) = w(A)f −1(A), where f (z) and w(z) are entire functions. By the Schur theorem,. where ...
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Apr 29, 2022 · In Section 4, we first prove that the zeros and poles of the determinant of any matrix-valued meromorphic Herglotz function are interlacing in ...
Generalized Schur classes of functions have been introduced by M.G. KreYn and H. Langer in [9] and were intensively studied by them and many others.