05361nam 2201201 a 450 991079008790332120220311032744.01-283-10154-897866131015491-4008-4059-710.1515/9781400840595(CKB)2670000000083392(EBL)689361(OCoLC)732028359(SSID)ssj0000524103(PQKBManifestationID)11347781(PQKBTitleCode)TC0000524103(PQKBWorkID)10545663(PQKB)10422569(MiAaPQ)EBC689361(StDuBDS)EDZ0000515069(WaSeSS)Ind00023651(DE-B1597)446739(OCoLC)979968553(DE-B1597)9781400840595(Au-PeEL)EBL689361(CaPaEBR)ebr10468682(CaONFJC)MIL310154(PPN)199244944(PPN)187958408(EXLCZ)99267000000008339220110201d2011 uy 0engurnn#---|u||utxtccrMatrix completions, moments, and sums of hermitian squares[electronic resource] /Mihály Bakonyi and Hugo J. WoerdemanCourse BookPrinceton, N.J. Princeton University Press20111 online resource (533 p.)Princeton series in applied mathematicsDescription based upon print version of record.0-691-12889-8 Includes bibliographical references and indexes.Front matter --Contents --Preface --Chapter 1. Cones of Hermitian matrices and trigonometric polynomials --Chapter 2. Completions of positive semidefinite operator matrices --Chapter 3. Multivariable moments and sums of Hermitian squares --Chapter 4. Contractive analogs --Chapter 5. Hermitian and related completion problems --Bibliography --Subject Index --Notation IndexIntensive 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.Princeton series in applied mathematics.MatricesBernstein–Szeg ő measures.Carathéodory problem.Christoel–Darboux formulas.Corona problem.Fejér–Riesz factorization.Hamburger problem.Hermitian matrices.Hermitian matrix expressions.Hermitian squares problems.Hilbert spaces.Hilbert–Schmidt norm control.MATLAB codes.Nehari problem.Nevanlinna–Pick problem.Schur complement.Toeplitz case.Toeplitz matrices.banded case.chordal case.completion problems.complex function theory.cones.contractive completions.control theory.electrical engineering.linear algebra.mathematics.measure theory.minimal rank completions.multivariables.operator theory.partial operator matrices.positive Carathéodory interpolation.positive definite completions.positive semidefinite completion.quantum information.semidefinite completions.semidefinite matrices.semidefinite operator matrices.semidefinite programming.separability problem.signal processing.trigonometric polynomials.Matrices.512.9434Bakonyi Mihály350649Woerdeman Hugo J1511092MiAaPQMiAaPQMiAaPQBOOK9910790087903321Matrix completions, moments, and sums of hermitian squares3744135UNINA03384oam 22005774a 450 991027235430332120230621141329.01-5017-2271-91-5017-2272-710.7591/9781501722721(CKB)4340000000258193(MiAaPQ)EBC5317499(DE-B1597)496504(OCoLC)1028941270(DE-B1597)9781501722721(OCoLC)1057684906(MdBmJHUP)muse67518(oapen)https://directory.doabooks.org/handle/20.500.12854/89088(EXLCZ)99434000000025819319870303d1987 uy 0engurcnu||||||||rdacontentrdamediardacarrierThe Challenge of BewildermentUnderstanding and Representation in James, Conrad, and Ford /Paul B. ArmstrongCornell University Press2018Ithaca :Cornell University Press,1987.©1987.1 online resource (276 pages)Includes index.0-8014-1949-2 1-5017-2273-5 Includes bibliographical references and index.Frontmatter --Contents --Preface --Introduction: Bewilderment, Understanding, and Representation --PART I. Jamesian Bewilderment: The Composing Powers of Consciousness --PART II. Conradian Bewildennent: The Metaphysics of Belief --PART III. Fordian Bewilderment: The Primacy of Unreflective Experience --Epilogue: Bewilderment and Modern Fiction --IndexThe Challenge of Bewilderment treats the epistemology of representation in major works by Henry James, Joseph Conrad, and Ford Madox Ford, attempting to explain how the novel turned away from its traditional concern with realistic representation and toward self-consciousness about the relation between knowing and narration. Paul B. Armstrong here addresses the pivotal thematic experience of "bewilderment," an experience that challenges the reader's very sense of reality and that shows it to have no more certainty or stability than an interpretative construct. Through readings of The Sacred Fount and The Ambassadors by James, Lord Jim and Nostromo by Conrad, and The Good Soldier and Parade's End by Ford, Armstrong examines how each writer dramatizes his understanding of the act of knowing. Armstrong demonstrates how the novelists' attitudes toward the process of knowing inform experiments with representation, through which they thematize the relation between the understanding of a fictional world and everyday habits of perception. Finally, he considers how these experiments with the strategies of narration produce a heightened awareness of the process of interpretation.Knowledge, Theory of, in literatureMimesis in literatureEnglish fiction20th centuryHistory and criticismElectronic books. Knowledge, Theory of, in literature.Mimesis in literature.English fictionHistory and criticism.823/.912/09Armstrong Paul B.1949-968813MdBmJHUPMdBmJHUPBOOK9910272354303321The Challenge of Bewilderment2433197UNINA