Matrix completions, moments, and sums of hermitian squares / (Record no. 81227)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 09050cam a2201081Ia 4500 |
| 001 - CONTROL NUMBER | |
| control field | ocn732028359 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20220908100014.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr mnu---unuuu |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 110621s2011 njua ob 001 0 eng d |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER | |
| LC control number | 2011922035 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | N$T |
| Language of cataloging | eng |
| Description conventions | pn |
| Transcribing agency | N$T |
| Modifying agency | E7B |
| -- | EBLCP |
| -- | YDXCP |
| -- | OSU |
| -- | OUP |
| -- | OCLCQ |
| -- | UMI |
| -- | REDDC |
| -- | OCLCQ |
| -- | COO |
| -- | OCLCQ |
| -- | DEBSZ |
| -- | OCLCQ |
| -- | JSTOR |
| -- | OCLCF |
| -- | OCLCQ |
| -- | IDEBK |
| -- | VT2 |
| -- | CUS |
| -- | OCLCQ |
| -- | LOA |
| -- | OCLCQ |
| -- | AGLDB |
| -- | UIU |
| -- | TOA |
| -- | MOR |
| -- | PIFAG |
| -- | ZCU |
| -- | OTZ |
| -- | OCLCQ |
| -- | MERUC |
| -- | OCLCQ |
| -- | IOG |
| -- | U3W |
| -- | EZ9 |
| -- | STF |
| -- | WRM |
| -- | VTS |
| -- | ICG |
| -- | INT |
| -- | CEF |
| -- | OCLCQ |
| -- | WYU |
| -- | LVT |
| -- | OCLCQ |
| -- | UAB |
| -- | DKC |
| -- | OCLCQ |
| -- | M8D |
| -- | UKAHL |
| -- | MYG |
| -- | OCLCQ |
| -- | VLY |
| -- | UKCRE |
| -- | AJS |
| -- | IEEEE |
| -- | OCLCO |
| -- | TUHNV |
| -- | OCLCO |
| 016 7# - NATIONAL BIBLIOGRAPHIC AGENCY CONTROL NUMBER | |
| Record control number | 015960252 |
| Source | Uk |
| 019 ## - | |
| -- | 743412214 |
| -- | 773205255 |
| -- | 816840436 |
| -- | 960201462 |
| -- | 961674111 |
| -- | 962615313 |
| -- | 988501796 |
| -- | 991964370 |
| -- | 994944722 |
| -- | 1037912425 |
| -- | 1038682554 |
| -- | 1055337198 |
| -- | 1062967510 |
| -- | 1065001658 |
| -- | 1103280529 |
| -- | 1129377338 |
| -- | 1152989642 |
| -- | 1162000432 |
| -- | 1181901877 |
| -- | 1192335359 |
| -- | 1202536660 |
| -- | 1228552456 |
| -- | 1243620210 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781400840595 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 1400840597 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 1283101548 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781283101547 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9786613101549 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 6613101540 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780691128894 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 0691128898 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1515/9781400840595 |
| Source of number or code | doi |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | AU@ |
| System control number | 000048832420 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | AU@ |
| System control number | 000051621406 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | AU@ |
| System control number | 000054182011 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | AU@ |
| System control number | 000065314305 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | CHBIS |
| System control number | 009946956 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | CHVBK |
| System control number | 302268723 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | DEBBG |
| System control number | BV040901397 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | DEBBG |
| System control number | BV043073259 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | DEBBG |
| System control number | BV044153740 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | DEBSZ |
| System control number | 372695647 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | DEBSZ |
| System control number | 378286935 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | DEBSZ |
| System control number | 379319527 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | DEBSZ |
| System control number | 38137436X |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | DEBSZ |
| System control number | 421607556 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | GBVCP |
| System control number | 1003671659 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | GBVCP |
| System control number | 785358722 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | AU@ |
| System control number | 000067100369 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | DKDLA |
| System control number | 820120-katalog:999927818605765 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)732028359 |
| Canceled/invalid control number | (OCoLC)743412214 |
| -- | (OCoLC)773205255 |
| -- | (OCoLC)816840436 |
| -- | (OCoLC)960201462 |
| -- | (OCoLC)961674111 |
| -- | (OCoLC)962615313 |
| -- | (OCoLC)988501796 |
| -- | (OCoLC)991964370 |
| -- | (OCoLC)994944722 |
| -- | (OCoLC)1037912425 |
| -- | (OCoLC)1038682554 |
| -- | (OCoLC)1055337198 |
| -- | (OCoLC)1062967510 |
| -- | (OCoLC)1065001658 |
| -- | (OCoLC)1103280529 |
| -- | (OCoLC)1129377338 |
| -- | (OCoLC)1152989642 |
| -- | (OCoLC)1162000432 |
| -- | (OCoLC)1181901877 |
| -- | (OCoLC)1192335359 |
| -- | (OCoLC)1202536660 |
| -- | (OCoLC)1228552456 |
| -- | (OCoLC)1243620210 |
| 037 ## - SOURCE OF ACQUISITION | |
| Stock number | CL0500000122 |
| Source of stock number/acquisition | Safari Books Online |
| 037 ## - SOURCE OF ACQUISITION | |
| Stock number | 22573/cttxz7r |
| Source of stock number/acquisition | JSTOR |
| 037 ## - SOURCE OF ACQUISITION | |
| Stock number | 9452353 |
| Source of stock number/acquisition | IEEE |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA188 |
| Item number | .B35 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 | MAT019000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PBKD |
| Source | bicssc |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.9434 |
| Edition number | 23 |
| 049 ## - LOCAL HOLDINGS (OCLC) | |
| Holding library | MAIN |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Bakonyi, M. |
| Fuller form of name | (Mih�aly), |
| Dates associated with a name | 1962- |
| Relator term | author. |
| 9 (RLIN) | 63914 |
| 245 10 - TITLE STATEMENT | |
| Title | Matrix completions, moments, and sums of hermitian squares / |
| Statement of responsibility, etc. | Mih�aly Bakonyi and Hugo J. Woerdeman. |
| 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 (xii, 518 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 |
| 347 ## - DIGITAL FILE CHARACTERISTICS | |
| File type | data file |
| Source | rda |
| 380 ## - FORM OF WORK | |
| Form of work | Bibliography |
| 490 1# - SERIES STATEMENT | |
| Series statement | Princeton series in applied mathematics |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc. note | Includes bibliographical references (pages 475-512) and indexes. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Cover -- Contents -- Preface -- Chapter 1. Cones of Hermitian matrices and trigonometric polynomials -- 1.1 Cones and their basic properties -- 1.2 Cones of Hermitian matrices -- 1.3 Cones of trigonometric polynomials -- 1.4 Determinant and entropy maximization -- 1.5 Semidefinite programming -- 1.6 Exercises -- 1.7 Notes -- Chapter 2. Completions of positive semidefinite operator matrices -- 2.1 Positive definite completions: the banded case -- 2.2 Positive definite completions: the chordal case -- 2.3 Positive definite completions: the Toeplitz case -- 2.4 The Schur complement and Fej233;r-Riesz factorization -- 2.5 Schur parameters -- 2.6 The central completion, maximum entropy, and inheritance principle -- 2.7 The Hamburger moment problem and spectral factorization on the real line -- 2.8 Linear prediction -- 2.9 Exercises -- 2.10 Notes -- Chapter 3. Multivariable moments and sums of Hermitian squares -- 3.1 Positive Carath233;odory interpolation on the polydisk -- 3.2 Inverses of multivariable Toeplitz matrices and Christoffel-Darboux formulas -- 3.3 Two-variable moment problem for Bernstein-Szeg246; measures -- 3.4 Fej233;r-Riesz factorization and sums of Hermitian squares -- 3.5 Completion problems for positive semidefinite functions on amenable groups -- 3.6 Moment problems on free groups -- 3.7 Noncommutative factorization -- 3.8 Two-variable Hamburger moment problem -- 3.9 Bochners theorem and an application to autoregressive stochastic processes -- 3.10 Exercises -- 3.11 Notes -- Chapter 4. Contractive analogs -- 4.1 Contractive operator-matrix completions -- 4.2 Linearly constrained completion problems -- 4.3 The operator-valued Nehari and Carath233;odory problems -- 4.4 Neharis problem in two variables -- 4.5 Nehari and Carath233;odory problems for functions on compact groups -- 4.6 The Nevanlinna-Pick problem -- 4.7 The operator Corona problem -- 4.8 Joint operator/Hilbert-Schmidt norm control extensions -- 4.9 An L[sup()] extension problem for polynomials -- 4.10 Superoptimal completions -- 4.11 Superoptimal approximations of analytic functions -- 4.12 Model matching -- 4.13 Exercises -- 4.14 Notes -- Chapter 5. Hermitian and related completion problems -- 5.1 Hermitian completions -- 5.2 Ranks of completions -- 5.3 Minimal negative and positive signature -- 5.4 Inertia of Hermitian matrix expressions -- 5.5 Bounds for eigenvalues of Hermitian completions -- 5.6 Bounds for singular values of completions of partial triangular matrices -- 5.7 Moment problems for real measures on the unit circle -- 5.8 Euclidean distance matrix completions -- 5.9 Normal completions -- 5.10 Application to minimal representation of discrete systems -- 5.11 The separability problem in quantum information -- 5.12 Exercises -- 5.13 Notes -- Bibliography -- Subject Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- K -- L -- M -- N -- O -- P -- Q -- R -- S -- T -- U -- V -- W -- Notation Index. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | Intensive research in matrix completions, moments, and sums of Hermitian squares has yielded a multitude of results in recent decades. This book provides a comprehensive account of this quickly developing area of mathematics and applications and gives complete proofs of many recently solved problems. With MATLAB codes and more than 200 exercises, the book is ideal for a special topics course for graduate or advanced undergraduate students in mathematics or engineering, and will also be a valuable resource for researchers. Often driven by questions from signal processing, control theory, and quantum information, the subject of this book has inspired mathematicians from many subdisciplines, including linear algebra, operator theory, measure theory, and complex function theory. In turn, the applications are being pursued by researchers in areas such as electrical engineering, computer science, and physics. The book is self-contained, has many examples, and for the most part requires only a basic background in undergraduate mathematics, primarily linear algebra and some complex analysis. The book also includes an extensive discussion of the literature, with close to 600 references from books and journals from a wide variety of disciplines. |
| 588 0# - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Print version record. |
| 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 | Algebras, Linear. |
| 9 (RLIN) | 4004 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Hermitian forms. |
| 9 (RLIN) | 63915 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Matrices. |
| 9 (RLIN) | 2259 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Alg�ebre lin�eaire. |
| 9 (RLIN) | 63916 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Formes hermitiennes. |
| 9 (RLIN) | 63917 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Matrices. |
| 9 (RLIN) | 2259 |
| 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 | Algebras, Linear. |
| Source of heading or term | fast |
| Authority record control number or standard number | (OCoLC)fst00804946 |
| 9 (RLIN) | 4004 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Hermitian forms. |
| Source of heading or term | fast |
| Authority record control number or standard number | (OCoLC)fst00955534 |
| 9 (RLIN) | 63915 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Matrices. |
| Source of heading or term | fast |
| Authority record control number or standard number | (OCoLC)fst01012399 |
| 9 (RLIN) | 2259 |
| 655 #0 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 9 (RLIN) | 3294 |
| 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 | Woerdeman, Hugo J. |
| Fuller form of name | (Hugo Jan), |
| Dates associated with a name | 1962- |
| Relator term | author. |
| 9 (RLIN) | 63918 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Bakonyi, M. (Mih�aly), 1962- |
| Title | Matrix completions, moments, and sums of Hermitian squares. |
| Place, publisher, and date of publication | Princeton, N.J. : Princeton University Press, �2011 |
| International Standard Book Number | 9780691128894 |
| Record control number | (DLC) 2011922035 |
| -- | (OCoLC)724663096 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Princeton series in applied mathematics. |
| 9 (RLIN) | 63919 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ieeexplore.ieee.org/servlet/opac?bknumber=9452353">https://ieeexplore.ieee.org/servlet/opac?bknumber=9452353</a> |
| 938 ## - | |
| -- | Askews and Holts Library Services |
| -- | ASKH |
| -- | AH26388029 |
| 938 ## - | |
| -- | EBL - Ebook Library |
| -- | EBLB |
| -- | EBL689361 |
| 938 ## - | |
| -- | ebrary |
| -- | EBRY |
| -- | ebr10468682 |
| 938 ## - | |
| -- | EBSCOhost |
| -- | EBSC |
| -- | 366496 |
| 938 ## - | |
| -- | ProQuest MyiLibrary Digital eBook Collection |
| -- | IDEB |
| -- | 310154 |
| 938 ## - | |
| -- | YBP Library Services |
| -- | YANK |
| -- | 6137778 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBooks |
| 994 ## - | |
| -- | 92 |
| -- | INTKS |
No items available.