Totally nonnegative matrices / (Record no. 81223)
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| 005 - DATE AND TIME OF LATEST TRANSACTION | |
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| fixed length control field | 110419s2011 njua ob 001 0 eng d |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER | |
| LC control number | 2010052042 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | N$T |
| Language of cataloging | eng |
| Description conventions | pn |
| Transcribing agency | N$T |
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| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781400839018 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 1400839017 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780691121574 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 0691121575 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1515/9781400839018 |
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| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)713259161 |
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| 037 ## - SOURCE OF ACQUISITION | |
| Stock number | CL0500000122 |
| Source of stock number/acquisition | Safari Books Online |
| 037 ## - SOURCE OF ACQUISITION | |
| Stock number | 22573/ctt103qx |
| Source of stock number/acquisition | JSTOR |
| 037 ## - SOURCE OF ACQUISITION | |
| Stock number | 9452359 |
| Source of stock number/acquisition | IEEE |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA188 |
| Item number | .F35 2011eb |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 019000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT003000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT019000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT002050 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.9/434 |
| Edition number | 22 |
| 084 ## - OTHER CLASSIFICATION NUMBER | |
| Classification number | MAT003000 |
| -- | MAT019000 |
| -- | MAT002050 |
| Number source | bisacsh |
| 049 ## - LOCAL HOLDINGS (OCLC) | |
| Holding library | MAIN |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Fallat, Shaun M. |
| 9 (RLIN) | 63882 |
| 245 10 - TITLE STATEMENT | |
| Title | Totally nonnegative matrices / |
| Statement of responsibility, etc. | Shaun M. Fallat, Charles R. Johnson. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Princeton : |
| Name of publisher, distributor, etc. | Princeton University Press, |
| Date of publication, distribution, etc. | �2011. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (248 pages) : |
| Other physical details | illustrations |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | Princeton series in applied mathematics |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | "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"-- |
| Assigning source | Provided by publisher. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | ""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"-- |
| Assigning source | Provided by publisher. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc. note | Includes bibliographical references (pages 219-238) and index. |
| 588 0# - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Print version record. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Totally Nonnegative Matrices; Contents; List of Figures; Preface; Chapter 0. Introduction; Chapter 1. Preliminary Results and Discussion; Chapter 2. Bidiagonal Factorization; Chapter 3. Recognition; Chapter 4. Sign Variation of Vectors and TN Linear Transformations; Chapter 5. The Spectral Structure of TN Matrices; Chapter 6. Determinantal Inequalities for TN Matrices; Chapter 7. Row and Column Inclusion and the Distribution of Rank; Chapter 8. Hadamard Products and Powers of TN Matrices; Chapter 9. Extensions and Completions; Chapter 10. Other Related Topics on TN Matrices; Bibliography. |
| 546 ## - LANGUAGE NOTE | |
| Language note | In English. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | IEEE |
| Provenance (VM) [OBSOLETE] | IEEE Xplore Princeton University Press eBooks Library |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Non-negative matrices. |
| 9 (RLIN) | 63883 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Matrices non-n�egatives. |
| 9 (RLIN) | 63884 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | MATHEMATICS |
| General subdivision | Applied. |
| Source of heading or term | bisacsh |
| 9 (RLIN) | 5811 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | MATHEMATICS |
| General subdivision | Matrices. |
| Source of heading or term | bisacsh |
| 9 (RLIN) | 63672 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | MATHEMATICS |
| General subdivision | Algebra |
| -- | Linear. |
| Source of heading or term | bisacsh |
| 9 (RLIN) | 63885 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Non-negative matrices. |
| Source of heading or term | fast |
| Authority record control number or standard number | (OCoLC)fst01038561 |
| 9 (RLIN) | 63883 |
| 655 #0 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
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| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 9 (RLIN) | 3294 |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Johnson, Charles R. |
| 9 (RLIN) | 63886 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Fallat, Shaun M. |
| Title | Totally nonnegative matrices. |
| Place, publisher, and date of publication | Princeton : Princeton University Press, 2011 |
| International Standard Book Number | 9780691121574 |
| Record control number | (DLC) 2010052042 |
| -- | (OCoLC)679940604 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Princeton series in applied mathematics. |
| 9 (RLIN) | 63887 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ieeexplore.ieee.org/servlet/opac?bknumber=9452359">https://ieeexplore.ieee.org/servlet/opac?bknumber=9452359</a> |
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