1 edition of **Metric Constrained Interpolation, Commutant Lifting and Systems** found in the catalog.

- 177 Want to read
- 3 Currently reading

Published
**1998**
by Birkhäuser Basel, Imprint: Birkhäuser in Basel
.

Written in English

- Mathematics

This monograph combines the commutant lifting theorem for operator theory and the state space method from system theory to provide a unified approach for solving both stationary and nonstationary interpolation problems with norm constraints. Included are the operator-valued versions of the tangential Nevanlinna-Pick problem, the Hermite-Fejér problem, the Nehari problem, the Sarason problem, and the two-sided Nudelman problem, and their nonstationary analogues. The main results concern the existence of solutions, the explicit construction of the central solutions in state space form, the maximum entropy property of the central solutions, and state space parametrizations of all solutions. Direct connections between the various interpolation problems are displayed. Applications to H[infinity] control problems are presented. This monograph should appeal to a wide group of mathematicians and engineers. The material is self-contained and may be used for advanced graduate courses and seminars.

**Edition Notes**

Statement | by C. Foias, A. E. Frazho, I. Gohberg, M. A. Kaashoek |

Series | Operator Theory Advances and Applications -- 100, Operator theory, advances and applications -- 100. |

Contributions | Frazho, A. E., Gohberg, I., Kaashoek, M. A. |

Classifications | |
---|---|

LC Classifications | QA1-939 |

The Physical Object | |

Format | [electronic resource] / |

Pagination | 1 online resource. |

ID Numbers | |

Open Library | OL27074698M |

ISBN 10 | 3034887914 |

ISBN 10 | 9783034887915 |

OCLC/WorldCa | 840291155 |

The purpose of this paper is to present theorems on the rate of convergence of variable metric methods for constrained 32 M.J.D. POWELL optimization that do not depend on the positive definiteness of G(x_,A_), but we do assume that the sequence converges to the required solution. x^ (k = 0,1,2, Cited by: Inspire a love of reading with Prime Book Box for Kids Discover delightful children's books with Prime Book Box, a subscription that delivers new books every 1, 2, or 3 months — new customers receive 30% off your first box. Learn cturer: North-Holland Publishing.

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This book presents a unified approach for solving both stationary and nonstationary interpolation problems, in finite or infinite dimensions, based on the commutant lifting theorem from operator theory and the state space method from mathematical system theory.

Initially the authors planned a. This book presents a unified approach for solving both stationary and nonstationary interpolation problems, in finite or infinite dimensions, based on the commutant lifting theorem from operator theory and the state space method from mathematical system theory.

Get this from a library. Metric constrained interpolation, commutant lifting, and systems. [Ciprian Commutant Lifting and Systems book. Get this from a library. Metric Constrained Interpolation, Commutant Lifting and Systems. [Ciprian Foiaş; Arthur E Frazho; I Gohberg; M A Kaashoek] -- This monograph combines the commutant lifting theorem for operator theory and the state space method from system theory to provide a unified approach for solving both stationary and nonstationary.

Metric Constrained Interpolation, Commutant Lifting and Systems pp | Cite as. Central Commutant Lifting. Authors () Central Commutant Lifting. In: Metric Constrained Interpolation, Commutant Lifting and Systems.

Operator Theory Advances and Applications, vol Author: C. Foias, A. Frazho, I. Gohberg, M. Kaashoek. Relaxation of metric constrained interpolation and a new lifting theorem Article (PDF Available) in Integral Equations and Operator Theory 42(3) September with 59 Reads.

Part 1 Interpolation and time-invariant system: interpolation problems for time-valued functions proofs using the commutant lifting theorem time invariant systems central commutant lifting central. In operator theory, the commutant lifting theorem, due to Sz.-Nagy and Foias, is a powerful theorem used to prove several interpolation results.

Statement. The commutant lifting theorem states that if T is a contraction on a Hilbert space H, U is its minimal unitary dilation acting on some Hilbert space K (which can be shown to exist by Sz.-Nagy's dilation theorem), and R is an operator on H.

The commutant lifting approach to interpolation problems Foias, Frazho. Classical H~ interpolation theory was conceived at the beginning of the century by C. Caratheodory, L. Fejer and I.

Schur. The basic method, due to Schur, in solving these problems consists in applying the Mobius transform to peel off the data. You can write a book. The Aeronautics and Astronautics curriculum emphasizes the disciplines of aerodynamics, aerospace systems, astrodynamics and space applications, propulsion, structures and materials, dynamics and control, and further provides courses that integrate these disciplines into the design of flight vehicles to perform the required mission.

Author of Navier-Stokes Equations and Turbulence, The Commutant Lifting Approach to Interpolation Problems, and Metric Constrained Interpolation, Commutant Lifting and Systems/5(3).

Hard to beat prices on systems lifting. Presenting our large assortment of systems lifting available for buying now. Metric Constrained Interpolation, Metric Constrained Interpolation, Commutant Lifting And Systems, Foias, C. AMS, American Mathematical Society, the tri-colored AMS logo, and Advancing research, Creating connections, are trademarks and services marks of the American Mathematical Society and registered in the U.S.

Patent and Trademark by: Metric Constrained Interpolation, Commutant Lifting and Systems - Operator Theory: Advances and Applications v. (Hardback) Ciprian Foias £ Hardback. Above Scotland - Cities: From the National Collection of Aerial Photography (Book & 3d Viewer) PDF Kindle.

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BOOK REVIEW: Metric Constrained Interpolation, Commutant Lifting and Systems Compact quantum hypergroups Model theory for p-contractions, p ^ 2 Commutative radical operator algebras 42 2 41 2 41 2 42 Bishop's property (/3) for tensor 42 product tuples of operators Exponential ordering on bounded 42 self-adjoint operators.

This book focuses on augmented Lagrangian techniques for solving practical constrained optimization problems. A rigorous approach to convergence theory is combined with an emphasis on applications and practical algorithm design considerations, making this book ideal for researchers in mathematics and computer science, and practitioners in Cited by: Z-Library is one of the largest online libraries in the world that contains over 4, booksarticles.

We aim to make literature accessible to everyone. State space methods for problems in analysis. Also metric constrained interpolation problems and completion problems for partially given operators, including relaxed commutant lifting problems." Publications. Kaashoek has authored and co-authored ten books A selection: The book review by Dym [6] gives an overview of operator methods in interpolation theory.

Schur functions arise in operator theory in other ways, such as invariant interpolation, commutant lifting and systems, Oper. Theory: Adv. Appl., vol. Birkhauser, Basel. About The. This reduction method required us to review and further develop the classical results for the stationary problems in this more general book presents a unified approach for solving both stationary and nonstationary interpolation problems, in finite or infinite dimensions, based on the commutant lifting theorem from operator theory and the state space method from.Metric Constrained Interpolation, Commutant Lifting, and Systems / Ciprian Foias / Differential and Integral Operators: International Workshop on Operator Theory and Applications, Iw in Regensburg, July August 4, / Israel Gohberg (Editor) / Book Review Book Review Rodman, Leiba Linear Algebra and its Applications () Contents lists available at SciVerse ScienceDirect Linear Algebra and its Applications journal homepage: w w w.

e l s e v i e r. c o m / l o c a t e / l a a Matrix Completions, Moments, and Sums of Hermitian Squares by Mihály Bakonyi and Hugo J.

Woerdeman, Princeton .