Totally nonnegative matrices

Enregistré dans:
Détails bibliographiques
Auteur principal: Fallat, Shaun M.. (Auteur)
Autres auteurs: Johnson, Charles R. (1948-....; mathématicien). (Auteur)
Support: E-Book
Langue: Anglais
Publié: Princeton ; N.J : Princeton University Press, 2011.
Sujets:
Autres localisations: Voir dans le Sudoc
Résumé: Main description: Totally nonnegative matrices arise in a remarkable variety of mathematical applications. This book is a comprehensive and self-contained study of the essential theory of totally nonnegative matrices, defined by the nonnegativity of all subdeterminants. It explores methodological background, historical highlights of key ideas, and specialized topics. The book uses classical and ad hoc tools, but a unifying theme is the elementary bidiagonal factorization, which has emerged as the single most important tool for this particular class of matrices. Recent work has shown that bidiagonal factorizations may be viewed in a succinct combinatorial way, leading to many deep insights. Despite slow development, bidiagonal factorizations, along with determinants, now provide the dominant methodology for understanding total nonnegativity. The remainder of the book treats important topics, such as recognition of totally nonnegative or totally positive matrices, variation diminution, spectral properties, determinantal inequalities, Hadamard products, and completion problems associated with totally nonnegative or totally positive matrices. The book also contains sample applications, an up-to-date bibliography, a glossary of all symbols used, an index, and related references
Accès en ligne: Accès à l'E-book
LEADER 03844cmm a2200721 4500
001 ebook-187957576
005 20220228223529.0
007 cr|uuu---uuuuu
008 150901q2011uuuugw ||||f|||d ||||||eng d
020 |a 9781400839018 
020 |a 9781400839018 
024 7 |a 10.1515/9781400839018  |2 DOI 
035 |a 19924507X  |9 sudoc 
035 |a (OCoLC)780498745 
035 |a FRCYB07488838085 
035 |a FRCYB88838085 
035 |a FRCYB08288838085 
035 |a FRCYB14088838085 
035 |a FRCYB19588838085 
035 |a FRCYB24288838085 
035 |a FRCYB24788838085 
035 |a FRCYB26088838085 
035 |a FRCYB26888838085 
035 |a FRCYB29388838085 
035 |a FRCYB29588838085 
035 |a FRCYB55488838085 
035 |a FRCYB55988838085 
040 |a ABES  |b fre  |e AFNOR 
041 0 |a eng  |2 639-2 
044 |a gw  |a us 
050 4 |a QA188 
050 4 |a QA188  |b .F35 2011eb 
050 4 |a MAT 
050 4 |a MAT003000 
082 0 |a 512.9  |2 22 
100 1 |0 (IdRef)152828559  |1 http://www.idref.fr/152828559/id  |a Fallat, Shaun M..  |4 aut.  |e Auteur 
245 1 0 |a Totally nonnegative matrices   |c Shaun M. Fallat, Charles R. Johnson. 
256 |a Données textuelles. 
260 |a Princeton ;  |a N.J :  |b Princeton University Press,  |c 2011. 
336 |b txt  |2 rdacontent 
337 |b c  |2 rdamedia 
337 |b b  |2 isbdmedia 
338 |b ceb  |2 RDAfrCarrier 
500 |a La pagination de l'édition imprimée correspondante est de : 264 p. 
506 |a L'accès complet à la ressource est réservé aux usagers des établissements qui en ont fait l'acquisition 
520 |a Main description: Totally nonnegative matrices arise in a remarkable variety of mathematical applications. This book is a comprehensive and self-contained study of the essential theory of totally nonnegative matrices, defined by the nonnegativity of all subdeterminants. It explores methodological background, historical highlights of key ideas, and specialized topics. The book uses classical and ad hoc tools, but a unifying theme is the elementary bidiagonal factorization, which has emerged as the single most important tool for this particular class of matrices. Recent work has shown that bidiagonal factorizations may be viewed in a succinct combinatorial way, leading to many deep insights. Despite slow development, bidiagonal factorizations, along with determinants, now provide the dominant methodology for understanding total nonnegativity. The remainder of the book treats important topics, such as recognition of totally nonnegative or totally positive matrices, variation diminution, spectral properties, determinantal inequalities, Hadamard products, and completion problems associated with totally nonnegative or totally positive matrices. The book also contains sample applications, an up-to-date bibliography, a glossary of all symbols used, an index, and related references 
538 |a Nécessite un navigateur et un lecteur de fichier PDF. 
650 0 |a MATHEMATICS  |x Algebra  |x Linear.  |2 lc 
650 0 |a MATHEMATICS  |x Applied.  |2 lc 
650 0 |a MATHEMATICS  |x Matrices.  |2 lc 
650 0 |a Applied Mathematics.  |2 lc 
650 0 |a Mathematics.  |2 lc 
650 0 |a Mathematik.  |2 lc 
650 0 |a Non-negative matrices.  |2 lc 
650 7 |a MATHEMATICS  |x Applied.  |2 bisacsh 
650 0 |a Non-negative matrices.  |2 lc 
650 7 |0 (IdRef)031774512  |1 http://www.idref.fr/031774512/id  |a Matrices nonnégatives.  |2 ram 
700 1 |0 (IdRef)085952419  |1 http://www.idref.fr/085952419/id  |a Johnson, Charles R.  |d (1948-....;   |c mathématicien).  |4 aut.  |e Auteur 
856 |q HTML  |u https://srvext.uco.fr/login?url=https://univ.scholarvox.com/book/88838085  |w Données éditeur  |z Accès à l'E-book 
886 2 |2 unimarc  |a 181  |a i#  |b xxxe## 
993 |a E-Book  
994 |a BNUM 
995 |a 187957576