Inverse M-matrices and ultrametric matrices:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cham [u.a.]
Springer
2014
|
| Schriftenreihe: | Lecture notes in mathematics
2118 |
| Online-Zugang: | Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource (X, 236 S.) graph. Darst. |
| ISBN: | 9783319102986 |
| DOI: | 10.1007/978-3-319-10298-6 |
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Datensatz im Suchindex
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|---|---|
| adam_text | INVERSE M-MATRICES AND ULTRAMETRIC MATRICES
/ DELLACHERIE, CLAUDE
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INVERSE M - MATRICES AND POTENTIALS
ULTRAMETRIC MATRICES
GRAPH OF ULTRAMETRIC TYPE MATRICES
FILTERED MATRICES
HADAMARD FUNCTIONS OF INVERSE M - MATRICES
NOTES AND COMMENTS BEYOND MATRICES
BASIC MATRIX BLOCK FORMULAE
SYMBOLIC INVERSION OF A DIAGONALLY DOMINANT M - MATRICES
BIBLIOGRAPHY
INDEX OF NOTATIONS
INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
INVERSE M-MATRICES AND ULTRAMETRIC MATRICES
/ DELLACHERIE, CLAUDE
: 2014
ABSTRACT / INHALTSTEXT
THE STUDY OF M-MATRICES, THEIR INVERSES AND DISCRETE POTENTIAL THEORY IS
NOW A WELL-ESTABLISHED PART OF LINEAR ALGEBRA ANDTHE THEORY OF MARKOV
CHAINS. THE MAIN FOCUS OF THIS MONOGRAPH IS THE SO-CALLED INVERSE
M-MATRIX PROBLEM, WHICH ASKS FOR A CHARACTERIZATION OF NONNEGATIVE
MATRICES WHOSE INVERSES ARE M-MATRICES. WE PRESENT AN ANSWER IN TERMS OF
DISCRETE POTENTIAL THEORY BASED ON THE CHOQUET-DENY THEOREM. A
DISTINGUISHED SUBCLASS OF INVERSE M-MATRICES IS ULTRAMETRIC MATRICES,
WHICH ARE IMPORTANT IN APPLICATIONS SUCH AS TAXONOMY. ULTRAMETRICITY IS
REVEALED TO BE A RELEVANT CONCEPT IN LINEAR ALGEBRA AND DISCRETE
POTENTIAL THEORY BECAUSE OF ITS RELATION WITH TREES IN GRAPH THEORY AND
MEAN EXPECTED VALUE MATRICES IN PROBABILITY THEORY.REMARKABLE
PROPERTIES OF HADAMARD FUNCTIONS AND PRODUCTS FOR THE CLASS OF INVERSE
M-MATRICES ARE DEVELOPED AND PROBABILISTIC INSIGHTS ARE PROVIDED
THROUGHOUT THE MONOGRAPH
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| dewey-ones | 510 - Mathematics |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| institution | BVB |
| isbn | 9783319102986 |
| language | English |
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| spelling | Dellacherie, Claude Verfasser aut Inverse M-matrices and ultrametric matrices Claude Dellacherie ; Servet Martinez ; Jaime San Martin Cham [u.a.] Springer 2014 1 Online-Ressource (X, 236 S.) graph. Darst. txt rdacontent c rdamedia cr rdacarrier Lecture notes in mathematics 2118 Martínez, Servet Verfasser aut San Martín, Jaime Verfasser aut Erscheint auch als Druck-Ausgabe, Paperback 978-3-319-10297-9 Lecture notes in mathematics 2118 (DE-604)BV014303148 2118 https://doi.org/10.1007/978-3-319-10298-6 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027718078&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=027718078&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Dellacherie, Claude Martínez, Servet San Martín, Jaime Inverse M-matrices and ultrametric matrices Lecture notes in mathematics |
| title | Inverse M-matrices and ultrametric matrices |
| title_auth | Inverse M-matrices and ultrametric matrices |
| title_exact_search | Inverse M-matrices and ultrametric matrices |
| title_full | Inverse M-matrices and ultrametric matrices Claude Dellacherie ; Servet Martinez ; Jaime San Martin |
| title_fullStr | Inverse M-matrices and ultrametric matrices Claude Dellacherie ; Servet Martinez ; Jaime San Martin |
| title_full_unstemmed | Inverse M-matrices and ultrametric matrices Claude Dellacherie ; Servet Martinez ; Jaime San Martin |
| title_short | Inverse M-matrices and ultrametric matrices |
| title_sort | inverse m matrices and ultrametric matrices |
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