| 000 | 09050cam a2201081Ia 4500 | ||
|---|---|---|---|
| 001 | ocn732028359 | ||
| 003 | OCoLC | ||
| 005 | 20220908100014.0 | ||
| 006 | m o d | ||
| 007 | cr mnu---unuuu | ||
| 008 | 110621s2011 njua ob 001 0 eng d | ||
| 010 | _a 2011922035 | ||
| 040 |
_aN$T _beng _epn _cN$T _dE7B _dEBLCP _dYDXCP _dOSU _dOUP _dOCLCQ _dUMI _dREDDC _dOCLCQ _dCOO _dOCLCQ _dDEBSZ _dOCLCQ _dJSTOR _dOCLCF _dOCLCQ _dIDEBK _dVT2 _dCUS _dOCLCQ _dLOA _dOCLCQ _dAGLDB _dUIU _dTOA _dMOR _dPIFAG _dZCU _dOTZ _dOCLCQ _dMERUC _dOCLCQ _dIOG _dU3W _dEZ9 _dSTF _dWRM _dVTS _dICG _dINT _dCEF _dOCLCQ _dWYU _dLVT _dOCLCQ _dUAB _dDKC _dOCLCQ _dM8D _dUKAHL _dMYG _dOCLCQ _dVLY _dUKCRE _dAJS _dIEEEE _dOCLCO _dTUHNV _dOCLCO |
||
| 016 | 7 |
_a015960252 _2Uk |
|
| 019 |
_a743412214 _a773205255 _a816840436 _a960201462 _a961674111 _a962615313 _a988501796 _a991964370 _a994944722 _a1037912425 _a1038682554 _a1055337198 _a1062967510 _a1065001658 _a1103280529 _a1129377338 _a1152989642 _a1162000432 _a1181901877 _a1192335359 _a1202536660 _a1228552456 _a1243620210 |
||
| 020 |
_a9781400840595 _q(electronic bk.) |
||
| 020 |
_a1400840597 _q(electronic bk.) |
||
| 020 | _a1283101548 | ||
| 020 | _a9781283101547 | ||
| 020 | _a9786613101549 | ||
| 020 | _a6613101540 | ||
| 020 | _z9780691128894 | ||
| 020 | _z0691128898 | ||
| 024 | 7 |
_a10.1515/9781400840595 _2doi |
|
| 029 | 1 |
_aAU@ _b000048832420 |
|
| 029 | 1 |
_aAU@ _b000051621406 |
|
| 029 | 1 |
_aAU@ _b000054182011 |
|
| 029 | 1 |
_aAU@ _b000065314305 |
|
| 029 | 1 |
_aCHBIS _b009946956 |
|
| 029 | 1 |
_aCHVBK _b302268723 |
|
| 029 | 1 |
_aDEBBG _bBV040901397 |
|
| 029 | 1 |
_aDEBBG _bBV043073259 |
|
| 029 | 1 |
_aDEBBG _bBV044153740 |
|
| 029 | 1 |
_aDEBSZ _b372695647 |
|
| 029 | 1 |
_aDEBSZ _b378286935 |
|
| 029 | 1 |
_aDEBSZ _b379319527 |
|
| 029 | 1 |
_aDEBSZ _b38137436X |
|
| 029 | 1 |
_aDEBSZ _b421607556 |
|
| 029 | 1 |
_aGBVCP _b1003671659 |
|
| 029 | 1 |
_aGBVCP _b785358722 |
|
| 029 | 1 |
_aAU@ _b000067100369 |
|
| 029 | 1 |
_aDKDLA _b820120-katalog:999927818605765 |
|
| 035 |
_a(OCoLC)732028359 _z(OCoLC)743412214 _z(OCoLC)773205255 _z(OCoLC)816840436 _z(OCoLC)960201462 _z(OCoLC)961674111 _z(OCoLC)962615313 _z(OCoLC)988501796 _z(OCoLC)991964370 _z(OCoLC)994944722 _z(OCoLC)1037912425 _z(OCoLC)1038682554 _z(OCoLC)1055337198 _z(OCoLC)1062967510 _z(OCoLC)1065001658 _z(OCoLC)1103280529 _z(OCoLC)1129377338 _z(OCoLC)1152989642 _z(OCoLC)1162000432 _z(OCoLC)1181901877 _z(OCoLC)1192335359 _z(OCoLC)1202536660 _z(OCoLC)1228552456 _z(OCoLC)1243620210 |
||
| 037 |
_aCL0500000122 _bSafari Books Online |
||
| 037 |
_a22573/cttxz7r _bJSTOR |
||
| 037 |
_a9452353 _bIEEE |
||
| 050 | 4 |
_aQA188 _b.B35 2011eb |
|
| 072 | 7 |
_aMAT _x019000 _2bisacsh |
|
| 072 | 7 |
_aMAT019000 _2bisacsh |
|
| 072 | 7 |
_aPBKD _2bicssc |
|
| 082 | 0 | 4 |
_a512.9434 _223 |
| 049 | _aMAIN | ||
| 100 | 1 |
_aBakonyi, M. _q(Mih�aly), _d1962- _eauthor. _963914 |
|
| 245 | 1 | 0 |
_aMatrix completions, moments, and sums of hermitian squares / _cMih�aly Bakonyi and Hugo J. Woerdeman. |
| 260 |
_aPrinceton : _bPrinceton University Press, _c�2011. |
||
| 300 |
_a1 online resource (xii, 518 pages) : _billustrations |
||
| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
||
| 347 |
_adata file _2rda |
||
| 380 | _aBibliography | ||
| 490 | 1 | _aPrinceton series in applied mathematics | |
| 504 | _aIncludes bibliographical references (pages 475-512) and indexes. | ||
| 505 | 0 | _aCover -- 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 | _aIntensive 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 | _aPrint version record. | |
| 546 | _aIn English. | ||
| 590 |
_aIEEE _bIEEE Xplore Princeton University Press eBooks Library |
||
| 650 | 0 |
_aAlgebras, Linear. _94004 |
|
| 650 | 0 |
_aHermitian forms. _963915 |
|
| 650 | 0 |
_aMatrices. _92259 |
|
| 650 | 6 |
_aAlg�ebre lin�eaire. _963916 |
|
| 650 | 6 |
_aFormes hermitiennes. _963917 |
|
| 650 | 6 |
_aMatrices. _92259 |
|
| 650 | 7 |
_aMATHEMATICS _xMatrices. _2bisacsh _963672 |
|
| 650 | 7 |
_aAlgebras, Linear. _2fast _0(OCoLC)fst00804946 _94004 |
|
| 650 | 7 |
_aHermitian forms. _2fast _0(OCoLC)fst00955534 _963915 |
|
| 650 | 7 |
_aMatrices. _2fast _0(OCoLC)fst01012399 _92259 |
|
| 655 | 0 |
_aElectronic books. _93294 |
|
| 655 | 4 |
_aElectronic books. _93294 |
|
| 700 | 1 |
_aWoerdeman, Hugo J. _q(Hugo Jan), _d1962- _eauthor. _963918 |
|
| 776 | 0 | 8 |
_iPrint version: _aBakonyi, M. (Mih�aly), 1962- _tMatrix completions, moments, and sums of Hermitian squares. _dPrinceton, N.J. : Princeton University Press, �2011 _z9780691128894 _w(DLC) 2011922035 _w(OCoLC)724663096 |
| 830 | 0 |
_aPrinceton series in applied mathematics. _963919 |
|
| 856 | 4 | 0 | _uhttps://ieeexplore.ieee.org/servlet/opac?bknumber=9452353 |
| 938 |
_aAskews and Holts Library Services _bASKH _nAH26388029 |
||
| 938 |
_aEBL - Ebook Library _bEBLB _nEBL689361 |
||
| 938 |
_aebrary _bEBRY _nebr10468682 |
||
| 938 |
_aEBSCOhost _bEBSC _n366496 |
||
| 938 |
_aProQuest MyiLibrary Digital eBook Collection _bIDEB _n310154 |
||
| 938 |
_aYBP Library Services _bYANK _n6137778 |
||
| 942 | _cEBK | ||
| 994 |
_a92 _bINTKS |
||
| 999 |
_c81227 _d81227 |
||