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010   $a9786613101549
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024 7 $a10.1515/9781400840595
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035   $a(EBL)689361
035   $a(OCoLC)732028359
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035   $a(DE-B1597)9781400840595
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100   $a20110201d2011      uy         0
101 0 $aeng
135   $aurnn#---|u||u
181   $ctxt
182   $cc
183   $acr
200 10$aMatrix completions, moments, and sums of hermitian squares /$fMiha?ly Bakonyi and Hugo J. 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   $tFront matter --$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
610   $aBernstein?Szeg ? measures.
610   $aCarathéodory problem.
610   $aChristoel?Darboux formulas.
610   $aCorona problem.
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 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$01633987
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910824018303321
996   $aMatrix completions, moments, and sums of hermitian squares$93974015
997   $aUNINA