LEADER 01029nam0-22003131i-450- 001 990001846460403321 005 20021010 035 $a000184646 035 $aFED01000184646 035 $a(Aleph)000184646FED01 035 $a000184646 100 $a20021010d--------km-y0itay50------ba 101 0 $aita 200 1 $aContribuzioni allo studio della maturazione dei frutti e specialmente della maturazione dei fichi$fMichele Carlucci,Ferdinando Rossi. 210 $aNapoli$c...$d1881. 215 $a32 p.$d27 cm 300 $aEstr. da: Annuario della R. Scuola Superiore di Agricoltura in Portici, 2,1880 610 0 $aFichi 676 $a634.37 700 1$aCarlucci,$bMichele$0355723 702 1$aRossi,$bFerdinando 801 0$aIT$bUNINA$gRICA$2UNIMARC 901 $aBK 912 $a990001846460403321 952 $a60 MISC. 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Woerdeman 205 $aCourse Book 210 $aPrinceton, N.J. $cPrinceton University Press$d2011 215 $a1 online resource (533 p.) 225 1 $aPrinceton series in applied mathematics 300 $aDescription based upon print version of record. 311 $a0-691-12889-8 320 $aIncludes bibliographical references and indexes. 327 $t Frontmatter -- $tContents -- $tPreface -- $tChapter 1. Cones of Hermitian matrices and trigonometric polynomials -- $tChapter 2. Completions of positive semidefinite operator matrices -- $tChapter 3. Multivariable moments and sums of Hermitian squares -- $tChapter 4. Contractive analogs -- $tChapter 5. Hermitian and related completion problems -- $tBibliography -- $tSubject Index -- $tNotation Index 330 $aIntensive research in matrix completions, moments, and sums of Hermitian squares has yielded a multitude of results in recent decades. This book provides a comprehensive account of this quickly developing area of mathematics and applications and gives complete proofs of many recently solved problems. With MATLAB codes and more than 200 exercises, the book is ideal for a special topics course for graduate or advanced undergraduate students in mathematics or engineering, and will also be a valuable resource for researchers. Often driven by questions from signal processing, control theory, and quantum information, the subject of this book has inspired mathematicians from many subdisciplines, including linear algebra, operator theory, measure theory, and complex function theory. In turn, the applications are being pursued by researchers in areas such as electrical engineering, computer science, and physics. The book is self-contained, has many examples, and for the most part requires only a basic background in undergraduate mathematics, primarily linear algebra and some complex analysis. The book also includes an extensive discussion of the literature, with close to 600 references from books and journals from a wide variety of disciplines. 410 0$aPrinceton series in applied mathematics. 606 $aMatrices 608 $aElectronic books. 610 $aBernstein?Szeg ? measures. 610 $aCarathéodory problem. 610 $aChristoel?Darboux formulas. 610 $aCorona problem. 610 $aFejéer?Riesz factorization. 610 $aFejér?Riesz factorization. 610 $aHamburger problem. 610 $aHermitian matrices. 610 $aHermitian matrix expressions. 610 $aHermitian squares problems. 610 $aHilbert spaces. 610 $aHilbert?Schmidt norm control. 610 $aMATLAB codes. 610 $aNehari problem. 610 $aNevanlinna?Pick problem. 610 $aSchur complement. 610 $aToeplitz case. 610 $aToeplitz matrices. 610 $abanded case. 610 $achordal case. 610 $acompletion problems. 610 $acomplex function theory. 610 $acones. 610 $acontractive completion. 610 $acontractive completions. 610 $acontrol theory. 610 $aelectrical engineering. 610 $alinear algebra. 610 $amathematics. 610 $ameasure theory. 610 $aminimal rank completions. 610 $amultivariables. 610 $aoperator theory. 610 $apartial operator matrices. 610 $apositive Carathéodory interpolation. 610 $apositive definite completions. 610 $apositive semidefinite completion. 610 $aquantum information. 610 $asemidefinite completions. 610 $asemidefinite matrices. 610 $asemidefinite operator matrices. 610 $asemidefinite programming. 610 $aseparability problem. 610 $asignal processing. 610 $atrigonometric polynomials. 615 0$aMatrices. 676 $a512.9434 700 $aBakonyi$b Miha?ly$0350649 701 $aWoerdeman$b Hugo J$01036855 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910459955403321 996 $aMatrix completions, moments, and sums of hermitian squares$92457451 997 $aUNINA