Found 64 Documents (Results 1–64)
Realizations of non-commutative rational functions around a matrix centre. II: The lost-abbey conditions. (English) Zbl 1521.16014
Reviewer: Wen-Fong Ke (Tainan)
On the relation between Hurwitz stability of matrix polynomials and matrix-valued Stieltjes functions. (English) Zbl 1524.30015
Realizations of non-commutative rational functions around a matrix centre. I: synthesis, minimal realizations and evaluation on stably finite algebras. (English) Zbl 1494.16017
Reviewer: Adam Chapman (Tel Hai)
Non-intrusive double-greedy parametric model reduction by interpolation of frequency-domain rational surrogates. (English) Zbl 1528.65117
A short proof of the symmetric determinantal representation of polynomials. (English) Zbl 1472.32001
Reviewer: Mihai Putinar (Santa Barbara)
A Unified Framework for Continuous/Discrete Positive/Bounded Real State-Space Systems. arXiv:2008.04635
Preprint, arXiv:2008.04635 [math.OC] (2020).
Herglotz-Nevanlinna matrix functions and Hurwitz stability of matrix polynomials. arXiv:2006.16065
Preprint, arXiv:2006.16065 [math.CA] (2020).
Errata to: “The Ellis-Gohberg inverse problem for matrix-valued Wiener functions on the line”. (English) Zbl 1448.47023
Matrix coefficient realization theory of noncommutative rational functions. (English) Zbl 1441.16030
A tangential interpolation problem for rational matrix functions from a classical point of view. (English) Zbl 06990019
The Ellis-Gohberg inverse problem for matrix-valued Wiener functions on the line. (English) Zbl 1368.47012
Oper. Matrices 10, No. 4, 1009-1042 (2016); errata ibid. 12, No. 4, 1199-1200 (2018).
The Loewner framework and transfer functions of singular/rectangular systems. (English) Zbl 1364.93111
State space formulas for a suboptimal rational Leech problem. II: parametrization of all solutions. (English) Zbl 06767992
Alpay, Daniel (ed.) et al., Recent advances in inverse scattering, Schur analysis and stochastic processes. A collection of papers dedicated to Lev Sakhnovich. Cham: Birkhäuser/Springer. Oper. Theory: Adv. Appl. 244, 149-179 (2015).
Null/pole interpolation problem in the class \(\mathcal {RI}\) of rational functions intertwining solutions of linear differential equations. (English) Zbl 1320.47008
Reviewer: Adhemar Bultheel (Leuven)
State space formulas for a suboptimal rational Leech problem. I: Maximum entropy solution. (English) Zbl 1318.47023
Model reduction by balanced truncation for systems with nuclear Hankel operators. (English) Zbl 1292.93073
State space formulae for stable rational matrix solutions of a Leech problem. (English) Zbl 1298.47020
Rational matrix solutions of a Bezout type equation on the half-plane. (English) Zbl 1293.47028
Kaashoek, Marinus A. (ed.) et al., Advances in structured operator theory and related areas. The Leonid Lerer anniversary volume on the occasion of his 70th birthday. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0638-1/hbk; 978-3-0348-0639-8/ebook). Operator Theory: Advances and Applications 237, 145-160 (2013).
Reviewer: Trieu Le (Toledo)
Right invertible multiplication operators and stable rational matrix solutions to an associate Bezout equation. II: Description of all solutions. (English) Zbl 1257.47032
Right invertible multiplication operators and stable rational matrix solutions to an associate Bezout equation. I: The least squares solution. (English) Zbl 1293.47027
The Schur algorithm in terms of system realizations. (English) Zbl 1213.47010
Alpay, Daniel (ed.) et al., Characteristic functions, scattering functions and transfer functions. The Moshe Livsic memorial volume. Basel: Birkhäuser (ISBN 978-3-0346-0182-5/hbk; 978-3-0346-0183-2/ebook). Operator Theory: Advances and Applications 197, 181-250 (2010).
Reviewer: Dan E. Popovici (Timişoara)
A state space approach to canonical factorization with applications. (English) Zbl 1203.47001
Operator Theory: Advances and Applications 200. Linear Operators and Linear Systems. Basel: Birkhäuser (ISBN 978-3-7643-8752-5/hbk; 978-3-7643-8753-2/ebook). xii, 423 p. (2010).
Singularities of rational functions and minimal factorizations: the noncommutative and the commutative setting. (English) Zbl 1217.47032
Factorization of matrix and operator functions. The state space method. (English) Zbl 1149.47001
Operator Theory: Advances and Applications 178. Basel: Birkhäuser (ISBN 978-3-7643-8267-4/hbk). xii, 409 p. (2008).
Noncommutative convexity arises from linear matrix inequalities. (English) Zbl 1135.47005
Reviewer: Frank Hansen (Copenhagen)
Matrix-\(J\)-unitary non-commutative rational formal power series. (English) Zbl 1110.47008
Alpay, Daniel (ed.) et al., The state space method generalizations and applications. Basel: Birkhäuser (ISBN 3-7643-7370-9/hbk). Operator Theory: Advances and Applications 161, 49-113 (2006).
Reviewer: A. V. Balakrishnan (Los Angeles)
Pole cancellation. (English) Zbl 1086.30007
Reviewer: Adhemar Bultheel (Leuven)
Zero cancellation. (English) Zbl 1086.30006
On realizations of rational matrix functions of several complex variables. II. (English) Zbl 1077.47009
Alpay, Daniel (ed.), Reproducing kernel spaces and applications. Basel: Birkhäuser (ISBN 3-7643-0068-X/hbk). Oper. Theory, Adv. Appl. 143, 135-146 (2003).
Reviewer: Joseph A. Ball (MR 2005e:47023)
On realizations of rational matrix functions of several complex variables. (English) Zbl 1049.47007
Alpay, Daniel et al., Interpolation theory, systems theory and related topics. The Harry Dym anniversary volume. Basel: Birkhäuser (ISBN 3-7643-6762-8/hbk). Oper. Theory, Adv. Appl. 134, 157-185 (2002).
Reviewer: Yuri I. Karlovich (Cuernavaca)
Szegő limits for infinite Toeplitz matrices determined by the Taylor series of two rational functions. (English) Zbl 0995.15020
Reviewer: Václav Burjan (Praha)
\(J\)-symmetric factorizations and algebraic Riccati equations. (English) Zbl 0994.47021
Dijksma, A. (ed.) et al., Recent advances in operator theory. The Israel Gohberg anniversary volume. Proceedings of the international workshop on operator theory and its applications, IWOTA-98, Groningen, Netherlands, June 30-July 3, 1998. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 124, 319-360 (2001).
On Riccati equations and reproducing kernel spaces. (English) Zbl 0989.46015
Dijksma, A. (ed.) et al., Recent advances in operator theory. The Israel Gohberg anniversary volume. Proceedings of the international workshop on operator theory and its applications, IWOTA-98, Groningen, Netherlands, June 30-July 3, 1998. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 124, 189-215 (2001).
Reviewer: Vladimir Bolotnikov (Williamsburg)
Bézoutians of rational matrix functions, matrix equations and factorizations. (English) Zbl 0958.15007
Reviewer: Václav Burjan (Praha)
Matrix rational \(H_{2}\) approximation: A gradient algorithm based on Schur analysis. (English) Zbl 0979.41009
Minimal and optimal linear discrete time-invariant dissipative scattering systems. (English) Zbl 0898.47005
Displacement structure: Theory and applications. (English) Zbl 0839.65028
Reviewer: Xie Shenquan (Xiangtan)
Partially specified matrices and operators: classification, completion, applications. (English) Zbl 0832.15004
Operator Theory: Advances and Applications. 79. Basel: Birkhäuser. viii, 333 p. (1995).
Reviewer: Alan L. Andrew (Bundoora)
Bezout operators for analytic operator functions. I: A general concept of Bezout operator. (English) Zbl 0824.47012
Shifts, realizations and interpolation, redux. (English) Zbl 0896.47010
Feintuch, A. (ed.) et al., Nonselfadjoint operators and related topics. Workshop on Operator theory and its applications, Beersheva, Israel, February 24-28, 1992. Basel: Birkhäuser Verlag. Oper. Theory, Adv. Appl. 73, 182-243 (1994).
Reviewer: J.A.Ball (Blacksburg)
Interpolation by rational matrix functions and stability of feedback systems: The 2-block case. (English) Zbl 0807.93053
A lecture on interpolation and approximation of matrices and operators. (English) Zbl 0826.93012
Dewilde, P. (ed.) et al., Challenges of a generalized system theory. Proceedings of the colloquium, Amsterdam, Netherlands, 9-12 June 1992. Amsterdam: North-Holland. 73-97 (1993).
Reviewer: A.V.Balakrishnan (Los Angeles)
The time-varying two-sided Nudelman interpolation problem and its solution. (English) Zbl 0838.93041
Dewilde, P. (ed.) et al., Challenges of a generalized system theory. Proceedings of the colloquium, Amsterdam, Netherlands, 9-12 June 1992. Amsterdam: North-Holland. 45-58 (1993).
Reviewer: A.Feintuch (Beersheva)
Local minimal factorizations of rational matrix functions in terms of null and pole data: Formulas for factors. (English) Zbl 0792.47016
Reviewer: G.P.A.Thijsse (Rotterdam)
Interpolation by rational matrix functions and stability of feedback systems: The 4-block case. (English) Zbl 0793.47011
Ando, T. (ed.) et al., Operator theory and complex analysis. Proceedings of a workshop, held in Sapporo, Japan, June 11-14, 1991. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 59, 96-142 (1992).
Tracking poles and representing Hankel operators directly from data. (English) Zbl 0726.30003
Reviewer: N.J.Young (Lancaster)
Interpolation of rational matrix functions. (English) Zbl 0708.15011
Operator Theory: Advances and Applications, 45. Basel etc.: Birkhäuser. 605 p. DM 224.00; sFr. 198.00 (1990).
Reviewer: H.-J.Kowalsky
Iterative commutant lifting for systems with rational symbol. (English) Zbl 0699.47004
Oper. Theory, Adv. Appl. 41, 255-277 (1989).
Reviewer: J.Wu
Hankel-norm approximation of a rational function using stochastic realizations. (English) Zbl 0684.93072
Realisation and approximation of linear infinite-dimensional systems with error bounds. (English) Zbl 0654.93011
Reviewer: H.Zwart
\(L_{\infty}\) approximation and nuclearity of delay systems. (English) Zbl 0641.93018
Reviewer: A.Olbrot
Topics in interpolation theory of rational matrix-valued functions. (English) Zbl 0651.47008
Operator Theory: Advances and Applications, 33. Basel: Birkhäuser. x, 247 p. DM 98.00 (1988).
Reviewer: M.A.Kaashoek
An inverse spectral problem for rational matrix functions and minimal divisibility. (English) Zbl 0621.47023
Rational transfer function approximation. With comments and a reply by the author. (English) Zbl 0955.93518
Stability of minimal fractional decompositions of rational matrix functions. (English) Zbl 0635.47010
I. Schur methods in operator theory and signal processing, Oper. Theory, Adv. Appl. 18, 249-270 (1986).
Reviewer: M.A.Kaashoek
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