Introduction to matrix analysis and applications:
Gespeichert in:
Hauptverfasser: | , |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cham [u.a.]
Springer [u.a.]
2014
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Schriftenreihe: | Universitext
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Schlagworte: | |
Online-Zugang: | BTU01 FRO01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
Beschreibung: | 1 Online-Ressource (VIII, 332 S.) |
ISBN: | 9783319041506 |
DOI: | 10.1007/978-3-319-04150-6 |
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Datensatz im Suchindex
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adam_text | INTRODUCTION TO MATRIX ANALYSIS AND APPLICATIONS
/ HIAI, FUMIO
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
FUNDAMENTALS OF OPERATORS AND MATRICES
MAPPINGS AND ALGEBRAS
FUNCTIONAL CALCULUS AND DERIVATION
MATRIX MONOTONE FUNCTIONS AND CONVEXITY
MATRIX MEANS AND INEQUALITIES
MAJORIZATION AND SINGULAR VALUES
SOME APPLICATIONS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
INTRODUCTION TO MATRIX ANALYSIS AND APPLICATIONS
/ HIAI, FUMIO
: 2014
ABSTRACT / INHALTSTEXT
MATRICES CAN BE STUDIED IN DIFFERENT WAYS. THEY ARE A LINEAR ALGEBRAIC
STRUCTURE AND HAVE A TOPOLOGICAL/ANALYTICAL ASPECT (FOR EXAMPLE, THE
NORMED SPACE OF MATRICES) AND THEY ALSO CARRY AN ORDER STRUCTURE THAT IS
INDUCED BY POSITIVE SEMIDEFINITE MATRICES. THE INTERPLAY OF THESE
CLOSELY RELATED STRUCTURES IS AN ESSENTIAL FEATURE OF MATRIX ANALYSIS.
THIS BOOK EXPLAINS THESE ASPECTS OF MATRIX ANALYSIS FROM A FUNCTIONAL
ANALYSIS POINT OF VIEW. AFTER AN INTRODUCTION TO MATRICES AND FUNCTIONAL
ANALYSIS, IT COVERS MORE ADVANCED TOPICS SUCH AS MATRIX MONOTONE
FUNCTIONS, MATRIX MEANS, MAJORIZATION AND ENTROPIES. SEVERAL
APPLICATIONS TO QUANTUM INFORMATION ARE ALSO INCLUDED. INTRODUCTION TO
MATRIX ANALYSIS AND APPLICATIONS IS APPROPRIATE FOR AN ADVANCED GRADUATE
COURSE ON MATRIX ANALYSIS, PARTICULARLY AIMED AT STUDYING QUANTUM
INFORMATION. IT CAN ALSO BE USED AS A REFERENCE FOR RESEARCHERS IN
QUANTUM INFORMATION, STATISTICS, ENGINEERING AND ECONOMICS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
any_adam_object | 1 |
author | Hiai, Fumio 1948- Petz, Dénes |
author_GND | (DE-588)124955878 |
author_facet | Hiai, Fumio 1948- Petz, Dénes |
author_role | aut aut |
author_sort | Hiai, Fumio 1948- |
author_variant | f h fh d p dp |
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collection | ZDB-2-SMA |
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dewey-full | 512.5 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 512 - Algebra |
dewey-raw | 512.5 |
dewey-search | 512.5 |
dewey-sort | 3512.5 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1007/978-3-319-04150-6 |
format | Electronic eBook |
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spelling | Hiai, Fumio 1948- Verfasser (DE-588)124955878 aut Introduction to matrix analysis and applications Fumio Hiai ; Dénes Petz Cham [u.a.] Springer [u.a.] 2014 1 Online-Ressource (VIII, 332 S.) txt rdacontent c rdamedia cr rdacarrier Universitext Matrizentheorie (DE-588)4128970-5 gnd rswk-swf Matrix Mathematik (DE-588)4037968-1 gnd rswk-swf Matrizenanalysis (DE-588)4227735-8 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Matrix Mathematik (DE-588)4037968-1 s Matrizenanalysis (DE-588)4227735-8 s 2\p DE-604 Matrizentheorie (DE-588)4128970-5 s 3\p DE-604 Petz, Dénes Verfasser aut Erscheint auch als Druck-Ausgabe, Paperback 978-3-319-04149-0 https://doi.org/10.1007/978-3-319-04150-6 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027193019&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027193019&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Hiai, Fumio 1948- Petz, Dénes Introduction to matrix analysis and applications Matrizentheorie (DE-588)4128970-5 gnd Matrix Mathematik (DE-588)4037968-1 gnd Matrizenanalysis (DE-588)4227735-8 gnd |
subject_GND | (DE-588)4128970-5 (DE-588)4037968-1 (DE-588)4227735-8 (DE-588)4123623-3 |
title | Introduction to matrix analysis and applications |
title_auth | Introduction to matrix analysis and applications |
title_exact_search | Introduction to matrix analysis and applications |
title_full | Introduction to matrix analysis and applications Fumio Hiai ; Dénes Petz |
title_fullStr | Introduction to matrix analysis and applications Fumio Hiai ; Dénes Petz |
title_full_unstemmed | Introduction to matrix analysis and applications Fumio Hiai ; Dénes Petz |
title_short | Introduction to matrix analysis and applications |
title_sort | introduction to matrix analysis and applications |
topic | Matrizentheorie (DE-588)4128970-5 gnd Matrix Mathematik (DE-588)4037968-1 gnd Matrizenanalysis (DE-588)4227735-8 gnd |
topic_facet | Matrizentheorie Matrix Mathematik Matrizenanalysis Lehrbuch |
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