The band method and inverse problems for orthogonal matrix functions of Szegő–Kreǐn type

M.A. Kaashoek; L. Lerer

doi:10.1016/j.indag.2012.04.007

The band method and inverse problems for orthogonal matrix functions of Szegő–Kreǐn type

Indagationes Mathematicae ◽

10.1016/j.indag.2012.04.007 ◽

2012 ◽

Vol 23 (4) ◽

pp. 900-920

Author(s):

M.A. Kaashoek ◽

L. Lerer

Keyword(s):

Inverse Problems ◽

Orthogonal Matrix ◽

Matrix Functions ◽

Band Method

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A New Proof of an Ellis-Gohberg Theorem on Orthogonal Matrix Functions Related to the Nehari Problem

Recent Advances in Operator Theory and its Applications ◽

10.1007/3-7643-7398-9_10 ◽

2005 ◽

pp. 217-232

Author(s):

G.J. Groenewald ◽

M.A. Kaashoek

Keyword(s):

Orthogonal Matrix ◽

Matrix Functions ◽

Nehari Problem

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J-Inner matrix functions, interpolation and inverse problems for canonical systems, II: The inverse monodromy problem

Integral Equations and Operator Theory ◽

10.1007/bf01236286 ◽

2000 ◽

Vol 36 (1) ◽

pp. 11-70 ◽

Cited By ~ 16

Author(s):

Damir Z. Arov ◽

Harry Dym

Keyword(s):

Inverse Problems ◽

Matrix Functions ◽

Canonical Systems

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J-inner matrix functions, interpolation and inverse problems for canonical systems, IV: Direct and inverse bitangential input scattering problems

Integral Equations and Operator Theory ◽

10.1007/bf01196513 ◽

2002 ◽

Vol 43 (1) ◽

pp. 1-67 ◽

Cited By ~ 8

Author(s):

Damir Z. Arov ◽

Harry Dym

Keyword(s):

Inverse Problems ◽

Matrix Functions ◽

Scattering Problems ◽

Canonical Systems

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Abstract band method via factorization, positive and band extensions of multivariable almost periodic matrix functions, and spectral estimation

Memoirs of the American Mathematical Society ◽

10.1090/memo/0762 ◽

2002 ◽

Vol 160 (762) ◽

pp. 0-0 ◽

Cited By ~ 5

Author(s):

Leiba Rodman ◽

Ilya M. Spitkovsky ◽

Hugo J. Woerdeman

Keyword(s):

Spectral Estimation ◽

Matrix Functions ◽

Almost Periodic ◽

Periodic Matrix ◽

Band Method

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J-inner matrix functions, interpolation and inverse problems for canonical systems, III: More on the inverse monodromy problem

Integral Equations and Operator Theory ◽

10.1007/bf01202092 ◽

2000 ◽

Vol 36 (2) ◽

pp. 127-181 ◽

Cited By ~ 17

Author(s):

Damir Z. Arov ◽

Harry Dym

Keyword(s):

Inverse Problems ◽

Matrix Functions ◽

Canonical Systems

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Computing Hyperbolic Matrix Functions Using Orthogonal Matrix Polynomials

Mathematics in Industry - Progress in Industrial Mathematics at ECMI 2012 ◽

10.1007/978-3-319-05365-3_56 ◽

2014 ◽

pp. 403-407

Author(s):

Emilio Defez ◽

Jorge Sastre ◽

Javier Ibáñez ◽

Pedro A. Ruiz

Keyword(s):

Orthogonal Matrix ◽

Matrix Functions ◽

Matrix Polynomials ◽

Orthogonal Matrix Polynomials

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Weyl matrix functions and inverse problems for discrete Dirac-type self-adjoint systems: explicit and general solutions

Operators and Matrices ◽

10.7153/oam-02-14 ◽

2008 ◽

pp. 201-231 ◽

Cited By ~ 6

Author(s):

Bernd Fritzsche ◽

Bernd Kirstein ◽

I. Roitberg ◽

Clément de Seg ins Pazzis

Keyword(s):

Inverse Problems ◽

Matrix Functions ◽

General Solutions ◽

Adjoint Systems ◽

Dirac Type ◽

Weyl Matrix

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The Inverse Problem for Ellis–Gohberg Orthogonal Matrix Functions

Integral Equations and Operator Theory ◽

10.1007/s00020-014-2159-4 ◽

2014 ◽

Vol 80 (4) ◽

pp. 527-555 ◽

Cited By ~ 2

Author(s):

M. A. Kaashoek ◽

F. van Schagen

Keyword(s):

Inverse Problem ◽

Orthogonal Matrix ◽

Matrix Functions

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Computing matrix functions arising in engineering models with orthogonal matrix polynomials

Mathematical and Computer Modelling ◽

10.1016/j.mcm.2011.11.022 ◽

2013 ◽

Vol 57 (7-8) ◽

pp. 1738-1743 ◽

Cited By ~ 8

Author(s):

Emilio Defez ◽

Jorge Sastre ◽

Javier Ibáñez ◽

Pedro Ruiz

Keyword(s):

Orthogonal Matrix ◽

Matrix Functions ◽

Matrix Polynomials ◽

Orthogonal Matrix Polynomials ◽

Engineering Models

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The inverse problem for Krein orthogonal matrix functions

Functional Analysis and Its Applications ◽

10.1007/s10688-007-0011-1 ◽

2007 ◽

Vol 41 (2) ◽

pp. 115-125 ◽

Cited By ~ 2

Author(s):

I. Gohberg ◽

M. A. Kaashoek ◽

L. Lerer

Keyword(s):

Inverse Problem ◽

Orthogonal Matrix ◽

Matrix Functions

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