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Found 143 Documents (Results 1–100)

Separable type representations of matrices and fast algorithms. Volume 1. Basics. Completion problems. Multiplication and inversion algorithms. (English) Zbl 1280.65027

Operator Theory: Advances and Applications 234. Basel: Birkhäuser (ISBN 978-3-0348-0605-3/hbk; 978-3-0348-0606-0/ebook; 978-3-0348-0728-9/set). xv, 399 p. (2014).
MSC:  65F05 65F30 65-01 15A83 15A09 15A23
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On a local principle and algebras generated by Toeplitz matrices. (English) Zbl 1207.15004

Gohberg, Israel et al., Convolution equations and singular integral operators. Selected papers of Israel Gohberg and Georg Heinig, Israel Gohberg and Nahum Krupnik. Transl from the Russian by Oleksiy Karlovych. Edited by Leonid Lerer, Vadim Olshevsky and Ilya M. Spitkovsky. Basel: Birkhäuser (ISBN 978-3-7643-8955-0/hbk). Operator Theory: Advances and Applications 206, 157-184 (2010).
MSC:  15A09 47B35
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The resultant matrix and its generalizations. II: The continual analogue of the resultant operator. (English) Zbl 1207.15022

Gohberg, Israel et al., Convolution equations and singular integral operators. Selected papers of Israel Gohberg and Georg Heinig, Israel Gohberg and Nahum Krupnik. Transl from the Russian by Oleksiy Karlovych. Edited by Leonid Lerer, Vadim Olshevsky and Ilya M. Spitkovsky. Basel: Birkhäuser (ISBN 978-3-7643-8955-0/hbk). Operator Theory: Advances and Applications 206, 89-109 (2010).
MSC:  15A54 47B35
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The resultant matrix and its generalizations. I: The resultant operator for matrix polynomials. (English) Zbl 1207.15021

Gohberg, Israel et al., Convolution equations and singular integral operators. Selected papers of Israel Gohberg and Georg Heinig, Israel Gohberg and Nahum Krupnik. Transl from the Russian by Oleksiy Karlovych. Edited by Leonid Lerer, Vadim Olshevsky and Ilya M. Spitkovsky. Basel: Birkhäuser (ISBN 978-3-7643-8955-0/hbk). Operator Theory: Advances and Applications 206, 65-88 (2010).
MSC:  15A54
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Inversion of finite Toeplitz matrices consisting of elements of a noncommutative algebra. (English) Zbl 1207.15003

Gohberg, Israel et al., Convolution equations and singular integral operators. Selected papers of Israel Gohberg and Georg Heinig, Israel Gohberg and Nahum Krupnik. Transl from the Russian by Oleksiy Karlovych. Edited by Leonid Lerer, Vadim Olshevsky and Ilya M. Spitkovsky. Basel: Birkhäuser (ISBN 978-3-7643-8955-0/hbk). Operator Theory: Advances and Applications 206, 7-46 (2010).
MSC:  15A09 15A06
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Inversion of finite Toeplitz matrices. (English) Zbl 1207.15032

Gohberg, Israel et al., Convolution equations and singular integral operators. Selected papers of Israel Gohberg and Georg Heinig, Israel Gohberg and Nahum Krupnik. Transl from the Russian by Oleksiy Karlovych. Edited by Leonid Lerer, Vadim Olshevsky and Ilya M. Spitkovsky. Basel: Birkhäuser (ISBN 978-3-7643-8955-0/hbk). Operator Theory: Advances and Applications 206, 1-6 (2010).
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A Traub-like algorithm for Hessenberg-quasi-separable-Vandermonde matrices of arbitrary order. (English) Zbl 1364.65065

Bini, Dario Andrea (ed.) et al., Numerical methods for structured matrices and applications. The Georg Heinig memorial volume. Basel: Birkhäuser (ISBN 978-3-7643-8995-6/hbk). Operator Theory: Advances and Applications 199, 127-154 (2010).
MSC:  65F05 15A09 15A23
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Convolution equations and singular integral operators. Selected papers of Israel Gohberg and Georg Heinig, Israel Gohberg and Nahum Krupnik. Transl. from the Russian by Oleksiy Karlovych. Edited by Leonid Lerer, Vadim Olshevsky and Ilya M. Spitkovsky. (English) Zbl 1218.00015

Operator Theory: Advances and Applications 206. Basel: Birkhäuser (ISBN 978-3-7643-8955-0/hbk). xxii, 217 p. (2010).
MSC:  00B50 15-06 47-06
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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).
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Matrix polynomials. Reprint of the 1982 original. (English) Zbl 1170.15300

Classics in Applied Mathematics 58. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-0-898716-81-8/pbk; 978-0-89871-902-4/ebook). xxiv, 409 p. (2009).
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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).
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Invariant subspaces of matrics with applications. Reprint of the 1986 original. (English) Zbl 1093.15502

Classics in Applied Mathematics 51. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 0-89871-608-X/pbk; 978-0-89871-909-3/ebook). xxi, 692 p. (2006).
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Extensions of matrix-valued inner products on modules and the inversion formula for block Toeplitz matrices. (English) Zbl 0985.47024

Bart, H. (ed.) et al., Operator theory and analysis. The M. A. Kaashoek anniversary volume. Proceedings of the workshop, Amsterdam, Netherlands, November 12-14, 1997. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 122, 191-227 (2001).
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Singular values of positive pencils and applications. (English) Zbl 0909.15002

Dijksma, A. (ed.) et al., Contributions to operator theory in spaces with an indefinite metric. The Heinz Langer anniversary volume on the occasion of his 60th birthday. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 106, 131-146 (1998).
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Partially specified matrices and operators: classification, completion, applications. (English) Zbl 0832.15004

Operator Theory: Advances and Applications. 79. Basel: Birkhäuser. viii, 333 p. (1995).
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Structured condition numbers for linear matrix structures. (English) Zbl 0823.15006

Bojanczyk, Adam (ed.) et al., Linear algebra for signal processing. Papers based on lectures presented at the IMA workshop, held at IMA, University of Minnesota, Minneapolis, MN, USA, April 6-10, 1992. New York, NY: Springer-Verlag. IMA Vol. Math. Appl. 69, 17-26 (1995).
MSC:  15A12 65F35 15B57
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Prediction and the inverse of Toeplitz matrices. (English) Zbl 0819.15005

Zahar, R. V. M. (ed.), Approximation and computation: a Festschrift in honor of Walter Gautschi. Proceedings of the Purdue conference, West Lafayette, IN, USA, December 2-5, 1993. Boston, US: Birkhäuser. ISNM, Int. Ser. Numer. Math. 119, 219-229 (1994).
Reviewer: S.Sridhar (Madras)
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Matrix polynomials with prescribed zero structure in the finite complex plane. (English) Zbl 0736.15010

Topics in matrix and operator theory, Proc. Workshop, Rotterdam/Neth. 1989, Oper. Theory, Adv. Appl. 50, 241-266 (1991).
Reviewer: M.Voicu (Iaşi)
MSC:  15A54 93B52 93B05
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Realization and factorization for rational matrix functions with symmetries. (English) Zbl 0735.15011

Extension and interpolation of linear operators and matrix functions, Oper. Theory, Adv. Appl. 47, 1-60 (1990).
MSC:  15A23 15A54
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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
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