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Titlebook: New Aspects in Interpolation and Completion Theories; I. Gohberg Book 1993 Springer Basel AG 1993 Interpolation.Operator theory.differenti

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发表于 2025-3-21 16:49:51 | 显示全部楼层 |阅读模式
书目名称New Aspects in Interpolation and Completion Theories
编辑I. Gohberg
视频videohttp://file.papertrans.cn/665/664834/664834.mp4
丛书名称Operator Theory: Advances and Applications
图书封面Titlebook: New Aspects in Interpolation and Completion Theories; I. Gohberg Book 1993 Springer Basel AG 1993 Interpolation.Operator theory.differenti
描述This volume consists of eight papers containing recent advances in interpolation theory for matrix functions and completion theory for matrices and operators. In the first paper, D. Alpay and P. Loubaton, "The tangential trigonometric moment problem on an interval and related topics" a trigonometric moment problem on an interval for matrix valued functions is studied. The realization approach plays an important role in solving this problem. The second paper, M. Bakonyi, V.G. Kaftal, G. Weiss and H.J. Woerdeman, "Max­ imum entropy and joint norm bounds for operator extensions" is dedicated to a matrix completion problem. In it is considered the problem when only the lower triangular part of the operator entries of a matrix is identified. Completions which have simultaneously a small usual norm and a small Hilbert-Schmidt norm are considered. Bounds for these norms are obtained. The analysis of the maximum entropy extension plays a special role. The paper contains applications to nest algebras and integral operators. The third paper, J .A. Ball, I. Gohberg and M.A. Kaashoek, "Bitangential interpola­ tion for input-output operators of time varying systems: the discrete time case" cont
出版日期Book 1993
关键词Interpolation; Operator theory; differential equation; linear optimization; maximum
版次1
doihttps://doi.org/10.1007/978-3-0348-8562-1
isbn_softcover978-3-0348-9681-8
isbn_ebook978-3-0348-8562-1Series ISSN 0255-0156 Series E-ISSN 2296-4878
issn_series 0255-0156
copyrightSpringer Basel AG 1993
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发表于 2025-3-22 00:00:19 | 显示全部楼层
Two-Sided Tangential Interpolation of Real Rational Matrix Functions,plex coefficients. Other relevant problems are studied as well; one of them: decide (in terms of the interpolation data) if a given interpolation problem admits a real rational matrix functions interpolants. The basic methodology is rooted in the approach exposed in [.].
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,The Exact H2 Estimate for the Central H∞ Interpolant,explicit formulas for the central intertwining lifting and the outer factor of its corresponding defect operator are given. Some applications to a mixed H.-H. Carathéodory and four-block interpolation problems are also presented.
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发表于 2025-3-22 06:28:44 | 显示全部楼层
,On Mixed H2 - H∞ Tangential Interpolation,al Carathéodory interpolation problem, an H.-H. tangential Nevanlinna-Pick interpolation problem and an H.-H. tangential Hermite-Fejer interpolation problem. Explicit computational formulas in terms of state space realizations are given.
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Mihály Bakonyi,Victor G. Kaftal,Gary Weiss,Hugo J. Woerdemanale des sciences appliquées of the Université Cadi Ayyad in Marrakech, Morocco, and partially financed by the CIMPA (International Center for Pure and Applied Mathematics). The author expresses his gratitude to the CIMPA and the main organizers Profs. M’hamed Eddahbi, Khalifa Es-sebaiy, Youssef Oukn
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发表于 2025-3-22 22:30:55 | 显示全部楼层
J. A. Ball,I. Gohberg,M. A. Kaashoekale des sciences appliquées of the Université Cadi Ayyad in Marrakech, Morocco, and partially financed by the CIMPA (International Center for Pure and Applied Mathematics). The author expresses his gratitude to the CIMPA and the main organizers Profs. M’hamed Eddahbi, Khalifa Es-sebaiy, Youssef Oukn
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发表于 2025-3-23 03:01:45 | 显示全部楼层
Joseph A. Ball,Israel Gohberg,Leiba Rodmane of the gene expression profiles of tumours in cancer patients allows optimal treatments to be applied. One of the main challenges when classifying patients based on gene expression profiles is, precisely, finding genes whose expression is modified due to a certain disease. The identification of th
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