000 | 06247cam a2200973Ia 4500 | ||
---|---|---|---|
001 | ocn713259161 | ||
003 | OCoLC | ||
005 | 20220908100012.0 | ||
006 | m o d | ||
007 | cr mnu---unuuu | ||
008 | 110419s2011 njua ob 001 0 eng d | ||
010 | _a 2010052042 | ||
040 |
_aN$T _beng _epn _cN$T _dE7B _dYDXCP _dCDX _dOSU _dOCLCQ _dUMI _dREDDC _dOCLCQ _dCOO _dOCLCQ _dDEBSZ _dOCLCQ _dJSTOR _dOCLCF _dEBLCP _dIDEBK _dCGU _dOCLCQ _dUIU _dAGLDB _dOTZ _dOCLCQ _dIOG _dMERUC _dEZ9 _dUAB _dSTF _dOCLCQ _dVTS _dCEF _dINT _dOCLCQ _dWYU _dLVT _dOCLCQ _dDKC _dOCLCQ _dM8D _dUKAHL _dOCLCQ _dK6U _dOCLCQ _dMM9 _dUX1 _dAJS _dOCLCQ _dIEEEE _dOCLCO |
||
019 |
_a713010106 _a773205574 _a994959877 _a1037919301 _a1062900138 _a1175631556 |
||
020 |
_a9781400839018 _q(electronic bk.) |
||
020 |
_a1400839017 _q(electronic bk.) |
||
020 | _z9780691121574 | ||
020 | _z0691121575 | ||
024 | 7 |
_a10.1515/9781400839018 _2doi |
|
029 | 1 |
_aAU@ _b000048805495 |
|
029 | 1 |
_aAU@ _b000051620983 |
|
029 | 1 |
_aAU@ _b000057019787 |
|
029 | 1 |
_aAU@ _b000065315240 |
|
029 | 1 |
_aCHBIS _b010896035 |
|
029 | 1 |
_aCHVBK _b483395390 |
|
029 | 1 |
_aDEBBG _bBV040901385 |
|
029 | 1 |
_aDEBBG _bBV043091932 |
|
029 | 1 |
_aDEBSZ _b372814808 |
|
029 | 1 |
_aDEBSZ _b378286811 |
|
029 | 1 |
_aDEBSZ _b379319004 |
|
029 | 1 |
_aDEBSZ _b381374238 |
|
029 | 1 |
_aDEBSZ _b421623225 |
|
029 | 1 |
_aGBVCP _b1003666647 |
|
029 | 1 |
_aAU@ _b000067091277 |
|
029 | 1 |
_aAU@ _b000067300198 |
|
035 |
_a(OCoLC)713259161 _z(OCoLC)713010106 _z(OCoLC)773205574 _z(OCoLC)994959877 _z(OCoLC)1037919301 _z(OCoLC)1062900138 _z(OCoLC)1175631556 |
||
037 |
_aCL0500000122 _bSafari Books Online |
||
037 |
_a22573/ctt103qx _bJSTOR |
||
037 |
_a9452359 _bIEEE |
||
050 | 4 |
_aQA188 _b.F35 2011eb |
|
072 | 7 |
_aMAT _x019000 _2bisacsh |
|
072 | 7 |
_aMAT003000 _2bisacsh |
|
072 | 7 |
_aMAT019000 _2bisacsh |
|
072 | 7 |
_aMAT002050 _2bisacsh |
|
082 | 0 | 4 |
_a512.9/434 _222 |
084 |
_aMAT003000 _aMAT019000 _aMAT002050 _2bisacsh |
||
049 | _aMAIN | ||
100 | 1 |
_aFallat, Shaun M. _963882 |
|
245 | 1 | 0 |
_aTotally nonnegative matrices / _cShaun M. Fallat, Charles R. Johnson. |
260 |
_aPrinceton : _bPrinceton University Press, _c�2011. |
||
300 |
_a1 online resource (248 pages) : _billustrations |
||
336 |
_atext _btxt _2rdacontent |
||
337 |
_acomputer _bc _2rdamedia |
||
338 |
_aonline resource _bcr _2rdacarrier |
||
490 | 1 | _aPrinceton series in applied mathematics | |
520 |
_a"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"-- _cProvided by publisher. |
||
520 |
_a""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"-- _cProvided by publisher. |
||
504 | _aIncludes bibliographical references (pages 219-238) and index. | ||
588 | 0 | _aPrint version record. | |
505 | 0 | _aTotally 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 | _aIn English. | ||
590 |
_aIEEE _bIEEE Xplore Princeton University Press eBooks Library |
||
650 | 0 |
_aNon-negative matrices. _963883 |
|
650 | 6 |
_aMatrices non-n�egatives. _963884 |
|
650 | 7 |
_aMATHEMATICS _xApplied. _2bisacsh _95811 |
|
650 | 7 |
_aMATHEMATICS _xMatrices. _2bisacsh _963672 |
|
650 | 7 |
_aMATHEMATICS _xAlgebra _xLinear. _2bisacsh _963885 |
|
650 | 7 |
_aNon-negative matrices. _2fast _0(OCoLC)fst01038561 _963883 |
|
655 | 0 |
_aElectronic books. _93294 |
|
655 | 4 |
_aElectronic books. _93294 |
|
700 | 1 |
_aJohnson, Charles R. _963886 |
|
776 | 0 | 8 |
_iPrint version: _aFallat, Shaun M. _tTotally nonnegative matrices. _dPrinceton : Princeton University Press, 2011 _z9780691121574 _w(DLC) 2010052042 _w(OCoLC)679940604 |
830 | 0 |
_aPrinceton series in applied mathematics. _963887 |
|
856 | 4 | 0 | _uhttps://ieeexplore.ieee.org/servlet/opac?bknumber=9452359 |
938 |
_aAskews and Holts Library Services _bASKH _nAH26387937 |
||
938 |
_aCoutts Information Services _bCOUT _n17587945 |
||
938 |
_aEBL - Ebook Library _bEBLB _nEBL669513 |
||
938 |
_aebrary _bEBRY _nebr10456317 |
||
938 |
_aEBSCOhost _bEBSC _n360060 |
||
938 |
_aProQuest MyiLibrary Digital eBook Collection _bIDEB _n303354 |
||
938 |
_aYBP Library Services _bYANK _n3669928 |
||
942 | _cEBK | ||
994 |
_a92 _bINTKS |
||
999 |
_c81223 _d81223 |