INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9780691121574 (hardback)
NATIONAL BIBLIOGRAPHY NUMBER
Country Code
IR
Number
EN-53927
LANGUAGE OF THE ITEM
.Language of Text, Soundtrack etc
انگلیسی
COUNTRY OF PUBLICATION OR PRODUCTlON
Country of publication
IR
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Totally nonnegative matrices
General Material Designation
[Book]
First Statement of Responsibility
/ Shaun M. Fallat, Charles R. Johnson
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Princeton
Name of Publisher, Distributor, etc.
: Princeton University Press,
Date of Publication, Distribution, etc.
, 2011.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
p. cm.
SERIES
Series Title
(Princeton series in applied mathematics)
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
Electronic
CONTENTS NOTE
Text of Note
"Totally Nonnegative Matrices" is a comprehensive, modern treatment of the titled class of matrices that arise in very many ways. Methodological background is given, and elementary bidiagonal factorization is a featured tool. In addition to historical highlights and sources of interest, some of the major topics include: recognition, variation diminution, spectral structure, determinantal inequalities, Hadamard products, and completion problems. "--Provided by publisher.
Text of Note
"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"--Provided by publisher.
TOPICAL NAME USED AS SUBJECT
Non-negative matrices
MATHEMATICS / Applied, bisacsh
MATHEMATICS / Matrices, bisacsh
MATHEMATICS / Algebra / Linear, bisacsh
LIBRARY OF CONGRESS CLASSIFICATION
Class number
E-BOOK
PERSONAL NAME - PRIMARY RESPONSIBILITY
Fallat, Shaun M.
PERSONAL NAME - SECONDARY RESPONSIBILITY
Johnson, Charles R
ORIGINATING SOURCE
Country
ایران
ELECTRONIC LOCATION AND ACCESS
Host name
9780691121574.pdf
Access number
عادی
Compression information
عادی
Date and Hour of Consultation and Access
9780691121574.pdf
Electronic Format Type
متن
old catalog
e
BL
1
a
Y
