skip to content
Condition : the geometry of numerical algorithms Preview this item
ClosePreview this item
Checking...

 

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Document Type: Book
All Authors / Contributors: Peter Bürgisser; Felipe Cucker
ISBN: 9783642388958 3642388957 9783642388965 3642388965
OCLC Number: 868212827
Description: XXXI, 554 str. : ilustr. ; 24 cm.
Contents: Preface.- Overture: On the Condition of Numerical Problems and the Numbers that Measure It.- I Condition in Linear Algebra (Adagio): 1 Normwise Condition of Linear Equation Solving.- 2 Probabilistic Analysis.- 3 Error Analysis of Triangular Linear Systems.- 4 Probabilistic Analysis of Rectangular Matrices.- 5 Condition Numbers and Iterative Algorithms.- Intermezzo I: Condition of Structured Data.- II Condition in Linear Optimization (Andante): 6 A Condition Number for Polyhedral Conic Systems.- 7 The Ellipsoid Method.- 8 Linear Programs and their Solution Sets.- 9 Interior-point Methods.- 10 The Linear Programming Feasibility Problem.- 11 Condition and Linear Programming Optimization.- 12 Average Analysis of the RCC Condition Number.- 13 Probabilistic Analyses of the GCC Condition Number.- Intermezzo II: The Condition of the Condition.- III Condition in Polynomial Equation Solving (Allegro con brio): 14 A Geometric Framework for Condition Numbers.- 15 Homotopy Continuation and Newton's Method.- 16 Homogeneous Polynomial Systems.- 17 Smale's 17th Problem: I.- 18 Smale's 17th Problem: II.- 19 Real Polynomial Systems.- 20 Probabilistic Analysis of Conic Condition Numbers: I. The Complex Case 4.- 21 Probabilistic Analysis of Conic Condition Numbers: II. The Real Case.- Appendix.
Series Title: Grundlehren der mathematischen Wissenschaften =; A series of comprehensive studies in mathematics
Responsibility: Peter Bürgisser, Filipe Cucker.
More information:

Reviews

Editorial reviews

Publisher Synopsis

"The book under review is divided into three parts, 'which approximately correspond to themes of conditioning in linear algebra, linear programming, and polynomial equation solving'. ... Given its Read more...

 
User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/868212827> # Condition : the geometry of numerical algorithms
    a schema:CreativeWork, schema:Book ;
   library:oclcnum "868212827" ;
   library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/1393976643#Place/heidelberg> ; # Heidelberg
   library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/1393976643#Place/berlin> ; # Berlin
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/gw> ;
   schema:about <http://experiment.worldcat.org/entity/work/data/1393976643#Thing/matematika> ; # matematika
   schema:about <http://experiment.worldcat.org/entity/work/data/1393976643#Thing/mathematics> ; # mathematics
   schema:author <http://experiment.worldcat.org/entity/work/data/1393976643#Person/cucker_felipe> ; # Felipe Cucker
   schema:author <http://experiment.worldcat.org/entity/work/data/1393976643#Person/burgisser_peter_1962> ; # Peter Bürgisser
   schema:bookFormat bgn:PrintBook ;
   schema:copyrightYear "op." ;
   schema:datePublished "2013" ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/1393976643> ;
   schema:inLanguage "en" ;
   schema:isPartOf <http://worldcat.org/issn/0072-7830> ; # Grundlehren der mathematischen Wissenschaften = A series of comprehensive studies in mathematics,
   schema:name "Condition : the geometry of numerical algorithms" ;
   schema:productID "868212827" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/868212827#PublicationEvent/berlin_heidelberg_springer_cop_2013> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/1393976643#Agent/springer> ; # Springer
   schema:workExample <http://worldcat.org/isbn/9783642388965> ;
   schema:workExample <http://worldcat.org/isbn/9783642388958> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/868212827> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/1393976643#Person/burgisser_peter_1962> # Peter Bürgisser
    a schema:Person ;
   schema:birthDate "1962" ;
   schema:familyName "Bürgisser" ;
   schema:givenName "Peter" ;
   schema:name "Peter Bürgisser" ;
    .

<http://experiment.worldcat.org/entity/work/data/1393976643#Person/cucker_felipe> # Felipe Cucker
    a schema:Person ;
   schema:familyName "Cucker" ;
   schema:givenName "Felipe" ;
   schema:name "Felipe Cucker" ;
    .

<http://worldcat.org/isbn/9783642388958>
    a schema:ProductModel ;
   schema:isbn "3642388957" ;
   schema:isbn "9783642388958" ;
    .

<http://worldcat.org/isbn/9783642388965>
    a schema:ProductModel ;
   schema:description "e-knjiga" ;
   schema:isbn "3642388965" ;
   schema:isbn "9783642388965" ;
    .

<http://worldcat.org/issn/0072-7830> # Grundlehren der mathematischen Wissenschaften = A series of comprehensive studies in mathematics,
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/868212827> ; # Condition : the geometry of numerical algorithms
   schema:issn "0072-7830" ;
   schema:name "Grundlehren der mathematischen Wissenschaften = A series of comprehensive studies in mathematics," ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.