Verfügbarkeit: Inverse M-matrices and ultrametric matrices

Inverse M-matrices and ultrametric matrices:

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Bibliographische Detailangaben
Beteiligte Personen:	Dellacherie, Claude (VerfasserIn), Martínez, Servet (VerfasserIn), San Martín, Jaime (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	Englisch
Veröffentlicht:	Cham [u.a.] Springer 2014
Schriftenreihe:	Lecture notes in mathematics 2118
Links:	https://doi.org/10.1007/978-3-319-10298-6 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 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
Umfang:	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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author	Dellacherie, Claude Martínez, Servet San Martín, Jaime
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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
url	https://doi.org/10.1007/978-3-319-10298-6 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 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
volume_link	(DE-604)BV014303148
work_keys_str_mv	AT dellacherieclaude inversemmatricesandultrametricmatrices AT martinezservet inversemmatricesandultrametricmatrices AT sanmartinjaime inversemmatricesandultrametricmatrices

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