00818nam0-22003011i-450-990001047720403321000104772FED01000104772(Aleph)000104772FED0100010477220000920d1978----km-y0itay50------baengMany Degrees of Freedom in Field Theory. 1976New YorkPlenum Press1978Vol. 1Teoria dei campiTeoria dello scatteringTeoria dei molti corpi530.143Proceedings492455ITUNINARICAUNIMARCBK99000104772040332122A-20111637FI1FI1Many Degrees of Freedom in Field Theory. 1976341121UNINAING0104178nam 2200709 a 450 991045523030332120200520144314.01-282-15823-697866121582301-4008-3024-910.1515/9781400830244(CKB)1000000000788496(EBL)457711(OCoLC)438732716(SSID)ssj0000215768(PQKBManifestationID)11202421(PQKBTitleCode)TC0000215768(PQKBWorkID)10185659(PQKB)10385595(MiAaPQ)EBC457711(DE-B1597)446646(OCoLC)979757798(DE-B1597)9781400830244(PPN)17027084X(Au-PeEL)EBL457711(CaPaEBR)ebr10312553(CaONFJC)MIL215823(EXLCZ)99100000000078849620090910d2008 uy 0engur|n|---|||||txtccrOptimization algorithms on matrix manifolds[electronic resource] /P.-A. Absil, R. Mahony, R. SepulchreCourse BookPrinceton Princeton University Press20081 online resource (240 p.)Description based upon print version of record.0-691-13298-4 Includes bibliographical references (p. [201]-220) and index. Frontmatter -- Contents -- List of Algorithms -- Foreword -- Notation Conventions -- Chapter One. Introduction -- Chapter Two. Motivation and Applications -- Chapter Three. Matrix Manifolds: First-Order Geometry -- Chapter Four. Line-Search Algorithms On Manifolds -- Chapter Five. Matrix Manifolds: Second-Order Geometry -- Chapter Six. Newton's Method -- Chapter Seven. Trust-Region Methods -- Chapter Eight. A Constellation Of Superlinear Algorithms -- A. Elements Of Linear Algebra, Topology, And Calculus -- Bibliography -- IndexMany problems in the sciences and engineering can be rephrased as optimization problems on matrix search spaces endowed with a so-called manifold structure. This book shows how to exploit the special structure of such problems to develop efficient numerical algorithms. It places careful emphasis on both the numerical formulation of the algorithm and its differential geometric abstraction--illustrating how good algorithms draw equally from the insights of differential geometry, optimization, and numerical analysis. Two more theoretical chapters provide readers with the background in differential geometry necessary to algorithmic development. In the other chapters, several well-known optimization methods such as steepest descent and conjugate gradients are generalized to abstract manifolds. The book provides a generic development of each of these methods, building upon the material of the geometric chapters. It then guides readers through the calculations that turn these geometrically formulated methods into concrete numerical algorithms. The state-of-the-art algorithms given as examples are competitive with the best existing algorithms for a selection of eigenspace problems in numerical linear algebra. Optimization Algorithms on Matrix Manifolds offers techniques with broad applications in linear algebra, signal processing, data mining, computer vision, and statistical analysis. It can serve as a graduate-level textbook and will be of interest to applied mathematicians, engineers, and computer scientists.Mathematical optimizationMatricesAlgorithmsElectronic books.Mathematical optimization.Matrices.Algorithms.518.1SK 915rvkAbsil P.-A1031697Mahony R(Robert),1967-1031698Sepulchre R(Rodolphe),1967-28404MiAaPQMiAaPQMiAaPQBOOK9910455230303321Optimization algorithms on matrix manifolds2449178UNINA01497nam0 22003371i 450 UON0019014620231205103211.11888-7119-065-320030730d1989 |0itac50 baitaIT|||| |||||ˆL'‰Italiano tra le lingue romanzeatti del 20. Congresso internazionale di studiBologna, 25-27 settembre 1986SLI, Società di linguistica italianaa cura di Fabio Foresti, Elena Rizzi, Paola BenediniRomaBulzoni1989. VI341 p. ; 21 cm.vol.27IT-UONSI LingCollaneS.L.I/27001UON000676202001 Pubblicazioni della Societa' di linguistica italiana27CongressiBologna1986UONC039126FILINGUA ITALIANA STORIA CONGRESSIUONC039125FIITRomaUONL000004455Grammatica della lingua italiana21BENEDINIPaolaUONV111304FORESTIFabioUONV111302RIZZIElenaUONV111303Società di Linguistica ItalianaUONV053520330439BulzoniUONV265597650ITSOL20250418RICASIBA - SISTEMA BIBLIOTECARIO DI ATENEOUONSIUON00190146SIBA - SISTEMA BIBLIOTECARIO DI ATENEOSI Collane S.L.I 27 SI LO 57823 7 27 vol.27Italiano tra le lingue romanze1261331UNIOR