Structured Matrix Based Methods for Approximate Polynomial GCD (Registro nro. 205309)

MARC details
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001 - NÚMERO DE CONTROL
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003 - IDENTIFICADOR DEL NÚMERO DE CONTROL
control field SIRSI
005 - FECHA Y HORA DE LA ULTIMA TRANSACCIÓN
control field 20160812084502.0
007 - CAMPO FIJO DE DESCRIPCIÓN FIJA--INFORMACIÓN GENERAL
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008 - ELEMENTOS DE LONGITUD FIJA -- INFORMACIÓN GENERAL
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020 ## - NÚMERO INTERNACIONAL NORMALIZADO PARA LIBROS
International Standard Book Number 9788876423819
-- 978-88-7642-381-9
040 ## - FUENTE DE CATALOGACIÓN
Transcribing agency MX-MeUAM
050 #4 - SIGNATURA TOPOGRÁFICA DE LA BIBLIOTECA DEL CONGRESO
Classification number QA150-272
082 04 - NÚMERO DE CLASIFICACIÓN DECIMAL DEWEY
Classification number 512
Edition number 23
100 1# - ASIENTO PRINCIPAL--NOMBRE PERSONAL
Personal name Boito, Paola.
Relator term author.
245 10 - MENCIÓN DE TITULO
Title Structured Matrix Based Methods for Approximate Polynomial GCD
Medium [recurso electrónico] /
Statement of responsibility, etc. by Paola Boito.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Pisa :
Name of producer, publisher, distributor, manufacturer Edizioni della Normale,
Date of production, publication, distribution, manufacture, or copyright notice 2011.
300 ## - DESCRIPCIÓN FÍSICA
Extent 250p.
Other physical details online resource.
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
347 ## - DIGITAL FILE CHARACTERISTICS
File type text file
Encoding format PDF
Source rda
490 1# - MENCIÓN DE SERIE
Series statement Tesi/Theses ;
Volume/sequential designation 15
505 0# - NOTA DE CONTENIDO
Formatted contents note i. Introduction -- ii. Notation -- 1. Approximate polynomial GCD -- 2. Structured and resultant matrices -- 3. The Euclidean algorithm -- 4. Matrix factorization and approximate GCDs -- 5. Optimization approach -- 6. New factorization-based methods -- 7. A fast GCD algorithm -- 8. Numerical tests -- 9. Generalizations and further work -- 10. Appendix A: Distances and norms -- 11. Appendix B: Special matrices -- 12. Bibliography -- 13. Index.
520 ## - NOTA DE RESUMEN, ETC.
Summary, etc. Defining and computing a greatest common divisor of two polynomials with inexact coefficients is a classical problem in symbolic-numeric computation. The first part of this book reviews the main results that have been proposed so far in the literature. As usual with polynomial computations, the polynomial GCD problem can be expressed in matrix form: the second part of the book focuses on this point of view and analyses the structure of the relevant matrices, such as Toeplitz, Toepliz-block and displacement structures. New algorithms for the computation of approximate polynomial GCD are presented, along with extensive numerical tests. The use of matrix structure allows, in particular, to lower the asymptotic computational cost from cubic to quadratic order with respect to polynomial degree. 
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650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO
Topical term or geographic name as entry element Mathematics.
650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO
Topical term or geographic name as entry element Algebra.
650 14 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO
Topical term or geographic name as entry element Mathematics.
650 24 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO
Topical term or geographic name as entry element Algebra.
710 2# - ASIENTO SECUNDARIO - NOMBRE CORPORATIVO
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Printed edition:
International Standard Book Number 9788876423802
830 #0 - ASIENTO SECUNDARIO DE SERIE--TITULO UNIFORME
Uniform title Tesi/Theses ;
Volume number/sequential designation 15
856 40 - LOCALIZACIÓN Y ACCESO ELECTRÓNICOS
Public note Libro electrónico
Uniform Resource Identifier <a href="http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-88-7642-381-9">http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-88-7642-381-9</a>
942 ## - TIPO DE MATERIAL (KOHA)
Koha item type Libro Electrónico
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    Colección de Libros Electrónicos Biblioteca Electrónica Biblioteca Electrónica     QA150 -272 377429-2001 12/08/2016 1 Libro Electrónico

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