Verfügbarkeit: Linear inverse problems :

Linear inverse problems :: the maximum entropy connection (with CD-ROM) /

This book describes a useful tool for solving linear inverse problems subject to convex constraints. The method of maximum entropy in the mean automatically takes care of the constraints. It consists of a technique for transforming a large dimensional inverse problem into a small dimensional non-lin...

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Bibliographische Detailangaben
1. Verfasser:	Gzyl, Henryk, 1946-
Weitere Verfasser:	Velásquez, Yurayh
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	New Jersey : World Scientific, 2011.
Schriftenreihe:	Series on advances in mathematics for applied sciences ; v. 83.
Schlagworte:	Inverse problems (Differential equations) Maximum entropy method. Problèmes inverses (Équations différentielles) Méthode d'entropie maximale. MATHEMATICS > Differential Equations > General. Maximum entropy method
Online-Zugang:	Volltext
Zusammenfassung:	This book describes a useful tool for solving linear inverse problems subject to convex constraints. The method of maximum entropy in the mean automatically takes care of the constraints. It consists of a technique for transforming a large dimensional inverse problem into a small dimensional non-linear variational problem. A variety of mathematical aspects of the maximum entropy method are explored as well.
Beschreibung:	1 online resource (xix, 326 pages) : illustrations
Bibliographie:	Includes bibliographical references.
ISBN:	9789814338783 9814338788

Internformat

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contents	Preface; Contents; List of Figures; List of Tables; 1. Introduction; 2. A collection of linear inverse problems; 3. The basics about linear inverse problems; 4. Regularization in Hilbert spaces: Deterministic and stochastic approaches; 5. Maxentropic approach to linear inverse problems; 6. Finite dimensional problems; 7. Some simple numerical examples and moment problems; 8. Some infinite dimensional problems; 9. Tomography, reconstruction from marginals and transportation problems; 10. Numerical inversion of Laplace transforms; 11. Maxentropic characterization of probability distributions.
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spelling	Gzyl, Henryk, 1946- https://id.oclc.org/worldcat/entity/E39PCjv6tdf7MWhBhP4krWGQG3 http://id.loc.gov/authorities/names/n90660419 Linear inverse problems : the maximum entropy connection (with CD-ROM) / Henryk Gzyl & Yurayh Velásquez. New Jersey : World Scientific, 2011. 1 online resource (xix, 326 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Series on advances in mathematics for applied sciences ; v. 83 Includes bibliographical references. This book describes a useful tool for solving linear inverse problems subject to convex constraints. The method of maximum entropy in the mean automatically takes care of the constraints. It consists of a technique for transforming a large dimensional inverse problem into a small dimensional non-linear variational problem. A variety of mathematical aspects of the maximum entropy method are explored as well. Print version record. Preface; Contents; List of Figures; List of Tables; 1. Introduction; 2. A collection of linear inverse problems; 3. The basics about linear inverse problems; 4. Regularization in Hilbert spaces: Deterministic and stochastic approaches; 5. Maxentropic approach to linear inverse problems; 6. Finite dimensional problems; 7. Some simple numerical examples and moment problems; 8. Some infinite dimensional problems; 9. Tomography, reconstruction from marginals and transportation problems; 10. Numerical inversion of Laplace transforms; 11. Maxentropic characterization of probability distributions. Inverse problems (Differential equations) http://id.loc.gov/authorities/subjects/sh85067684 Maximum entropy method. http://id.loc.gov/authorities/subjects/sh91000157 Problèmes inverses (Équations différentielles) Méthode d'entropie maximale. MATHEMATICS Differential Equations General. bisacsh Inverse problems (Differential equations) fast Maximum entropy method fast Velásquez, Yurayh. has work: Linear inverse problems (Text) https://id.oclc.org/worldcat/entity/E39PCG46mwpK3W9HbkmPf6mrv3 https://id.oclc.org/worldcat/ontology/hasWork Print version: Gzyl, Henryk, 1946- Linear inverse problems. New Jersey : World Scientific, 2011 9789814338776 (DLC) 2010047244 (OCoLC)681502962 Series on advances in mathematics for applied sciences ; v. 83. http://id.loc.gov/authorities/names/n90710999 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=373230 Volltext
spellingShingle	Gzyl, Henryk, 1946- Linear inverse problems : the maximum entropy connection (with CD-ROM) / Series on advances in mathematics for applied sciences ; Preface; Contents; List of Figures; List of Tables; 1. Introduction; 2. A collection of linear inverse problems; 3. The basics about linear inverse problems; 4. Regularization in Hilbert spaces: Deterministic and stochastic approaches; 5. Maxentropic approach to linear inverse problems; 6. Finite dimensional problems; 7. Some simple numerical examples and moment problems; 8. Some infinite dimensional problems; 9. Tomography, reconstruction from marginals and transportation problems; 10. Numerical inversion of Laplace transforms; 11. Maxentropic characterization of probability distributions. Inverse problems (Differential equations) http://id.loc.gov/authorities/subjects/sh85067684 Maximum entropy method. http://id.loc.gov/authorities/subjects/sh91000157 Problèmes inverses (Équations différentielles) Méthode d'entropie maximale. MATHEMATICS Differential Equations General. bisacsh Inverse problems (Differential equations) fast Maximum entropy method fast
subject_GND	http://id.loc.gov/authorities/subjects/sh85067684 http://id.loc.gov/authorities/subjects/sh91000157
title	Linear inverse problems : the maximum entropy connection (with CD-ROM) /
title_auth	Linear inverse problems : the maximum entropy connection (with CD-ROM) /
title_exact_search	Linear inverse problems : the maximum entropy connection (with CD-ROM) /
title_full	Linear inverse problems : the maximum entropy connection (with CD-ROM) / Henryk Gzyl & Yurayh Velásquez.
title_fullStr	Linear inverse problems : the maximum entropy connection (with CD-ROM) / Henryk Gzyl & Yurayh Velásquez.
title_full_unstemmed	Linear inverse problems : the maximum entropy connection (with CD-ROM) / Henryk Gzyl & Yurayh Velásquez.
title_short	Linear inverse problems :
title_sort	linear inverse problems the maximum entropy connection with cd rom
title_sub	the maximum entropy connection (with CD-ROM) /
topic	Inverse problems (Differential equations) http://id.loc.gov/authorities/subjects/sh85067684 Maximum entropy method. http://id.loc.gov/authorities/subjects/sh91000157 Problèmes inverses (Équations différentielles) Méthode d'entropie maximale. MATHEMATICS Differential Equations General. bisacsh Inverse problems (Differential equations) fast Maximum entropy method fast
topic_facet	Inverse problems (Differential equations) Maximum entropy method. Problèmes inverses (Équations différentielles) Méthode d'entropie maximale. MATHEMATICS Differential Equations General. Maximum entropy method
url	https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=373230
work_keys_str_mv	AT gzylhenryk linearinverseproblemsthemaximumentropyconnectionwithcdrom AT velasquezyurayh linearinverseproblemsthemaximumentropyconnectionwithcdrom

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