Jℓ-unitary factorization and the Schur algorithm for Nevanlinna functions in an indefinite setting

D. Alpay; A. Dijksma; H. Langer

doi:10.1016/j.laa.2006.06.010

Jℓ-unitary factorization and the Schur algorithm for Nevanlinna functions in an indefinite setting

Linear Algebra and its Applications ◽

10.1016/j.laa.2006.06.010 ◽

2006 ◽

Vol 419 (2-3) ◽

pp. 675-709 ◽

Cited By ~ 6

Author(s):

D. Alpay ◽

A. Dijksma ◽

H. Langer

Keyword(s):

Schur Algorithm ◽

Nevanlinna Functions

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Factorization of J-unitary matrix polynomials on the line and a Schur algorithm for generalized Nevanlinna functions

Linear Algebra and its Applications ◽

10.1016/j.laa.2004.02.037 ◽

2004 ◽

Vol 387 ◽

pp. 313-342 ◽

Cited By ~ 11

Author(s):

D Alpay ◽

A Dijksma ◽

H Langer

Keyword(s):

Unitary Matrix ◽

Schur Algorithm ◽

Matrix Polynomials ◽

Nevanlinna Functions

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The Schur algorithm for generalized Schur functions I: coisometric realizations

Systems, Approximation, Singular Integral Operators, and Related Topics ◽

10.1007/978-3-0348-8362-7_1 ◽

2001 ◽

pp. 1-36 ◽

Cited By ~ 5

Author(s):

Daniel Alpay ◽

Tomas Azizov ◽

Aad Dijksma ◽

Heinz Langer

Keyword(s):

Schur Functions ◽

Schur Algorithm ◽

Generalized Schur Functions

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Realizations of Herglotz-Nevanlinna Functions via F-systems

Operator Methods in Ordinary and Partial Differential Equations ◽

10.1007/978-3-0348-8219-4_14 ◽

2002 ◽

pp. 183-198 ◽

Cited By ~ 1

Author(s):

Seppo Hassi ◽

Henk de Snoo ◽

Eduard Tsekanovskiĭ

Keyword(s):

Nevanlinna Functions

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Numerical Performance of the Schur Algorithm in Seismic Inversion and Continuous-Time Prediction Problems

Acoustical Imaging ◽

10.1007/978-1-4613-2523-9_24 ◽

1985 ◽

pp. 259-271

Author(s):

I. Widya

Keyword(s):

Continuous Time ◽

Seismic Inversion ◽

Schur Algorithm ◽

Time Prediction ◽

Numerical Performance ◽

Prediction Problems

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Realization of Herglotz–Nevanlinna Functions by Conservative Systems

Operator Theory ◽

10.1007/978-3-0348-0667-1_50 ◽

2015 ◽

pp. 779-809

Author(s):

Yury Arlinskiı̆ ◽

Sergey Belyi ◽

Eduard Tsekanovskiı̆

Keyword(s):

Conservative Systems ◽

Nevanlinna Functions

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A subclass of boundary measures and the convex combination problem for Herglotz--Nevanlinna functions in several variables

Acta Scientiarum Mathematicarum ◽

10.14232/actasm-018-040-1 ◽

2019 ◽

Vol 85 (34) ◽

pp. 441-472 ◽

Cited By ~ 2

Author(s):

Mitja Nedic

Keyword(s):

Convex Combination ◽

Combination Problem ◽

Several Variables ◽

Nevanlinna Functions

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A geometric perspective on the Schur algorithm

10.1109/spect.1988.206208 ◽

2003 ◽

Cited By ~ 1

Author(s):

E. Karlsson

Keyword(s):

Schur Algorithm

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Convergence of generalized Nevanlinna functions

Acta Scientiarum Mathematicarum ◽

10.1007/bf03643925 ◽

2011 ◽

Vol 77 (3-4) ◽

pp. 425-437

Author(s):

Heinz Langer ◽

Annemarie Luger ◽

Vladimir Matsaev

Keyword(s):

Nevanlinna Functions

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Augmented Schur Parameters for Generalized Nevanlinna Functions and Approximation

Spectral Theory in Inner Product Spaces and Applications ◽

10.1007/978-3-7643-8911-6_1 ◽

2008 ◽

pp. 1-30 ◽

Cited By ~ 3

Author(s):

D. Alpay ◽

A. Dijksma ◽

H. Langer

Keyword(s):

Nevanlinna Functions ◽

Schur Parameters

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The factorization of generalized Nevanlinna functions and the invariant subspace property

Indagationes Mathematicae ◽

10.1016/j.indag.2018.08.002 ◽

2019 ◽

Vol 30 (1) ◽

pp. 26-38

Author(s):

Hendrik Luit Wietsma

Keyword(s):

Invariant Subspace ◽

Nevanlinna Functions

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