skip to content
Interval arithmetic determinant evaluation and its use in testing for a chebyshev system. Preview this item
ClosePreview this item
Checking...

Interval arithmetic determinant evaluation and its use in testing for a chebyshev system.

Author: Lyle B Smith; STANFORD UNIV CALIF Dept. of COMPUTER SCIENCE.
Publisher: Ft. Belvoir Defense Technical Information Center 26 APR 1968.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
Two recent papers by Hansen and by Hansen and R.R. Smith have shown how interval arithmetic (I.A.) can be used effectively to bound errors in matrix computations. This paper compares a method proposed by Hansen and R.R. Smith to straightforward use of I.A. in determinant evaluation. Computational results show what accuracy and running times can be expected when using I.A. for determinant evaluation. An application  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy in the library

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

Details

Document Type: Book
All Authors / Contributors: Lyle B Smith; STANFORD UNIV CALIF Dept. of COMPUTER SCIENCE.
OCLC Number: 227487245
Description: 29 pages

Abstract:

Two recent papers by Hansen and by Hansen and R.R. Smith have shown how interval arithmetic (I.A.) can be used effectively to bound errors in matrix computations. This paper compares a method proposed by Hansen and R.R. Smith to straightforward use of I.A. in determinant evaluation. Computational results show what accuracy and running times can be expected when using I.A. for determinant evaluation. An application using I.A. determinants in a program to test a set of functions to see if they form a Chebyshev system is then presented. (Author).

Reviews

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/227487245> # Interval arithmetic determinant evaluation and its use in testing for a chebyshev system.
    a schema:Book, schema:CreativeWork ;
    library:oclcnum "227487245" ;
    library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/114932797#Place/ft_belvoir> ; # Ft. Belvoir
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/vau> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/114932797#Topic/functions_mathematics> ; # Functions(mathematics)
    schema:about <http://experiment.worldcat.org/entity/work/data/114932797#Topic/matrices_mathematics> ; # Matrices(mathematics)
    schema:about <http://experiment.worldcat.org/entity/work/data/114932797#Topic/numerical_analysis> ; # Numerical analysis
    schema:about <http://experiment.worldcat.org/entity/work/data/114932797#Topic/accuracy> ; # Accuracy
    schema:about <http://experiment.worldcat.org/entity/work/data/114932797#Topic/computer_programs> ; # Computer programs
    schema:about <http://experiment.worldcat.org/entity/work/data/114932797#Thing/interval_arithmetic> ; # INTERVAL ARITHMETIC
    schema:about <http://experiment.worldcat.org/entity/work/data/114932797#Topic/theoretical_mathematics> ; # Theoretical Mathematics
    schema:about <http://experiment.worldcat.org/entity/work/data/114932797#Topic/problem_solving> ; # Problem solving)
    schema:about <http://experiment.worldcat.org/entity/work/data/114932797#Topic/algorithms> ; # Algorithms
    schema:about <http://experiment.worldcat.org/entity/work/data/114932797#Thing/computer_analysis> ; # COMPUTER ANALYSIS
    schema:about <http://experiment.worldcat.org/entity/work/data/114932797#Topic/determinants_mathematics> ; # (Determinants(mathematics)
    schema:bookFormat bgn:PrintBook ;
    schema:contributor <http://experiment.worldcat.org/entity/work/data/114932797#Organization/stanford_univ_calif_dept_of_computer_science> ; # STANFORD UNIV CALIF Dept. of COMPUTER SCIENCE.
    schema:contributor <http://experiment.worldcat.org/entity/work/data/114932797#Person/smith_lyle_b> ; # Lyle B. Smith
    schema:datePublished "26 APR 1968" ;
    schema:datePublished "1968" ;
    schema:description "Two recent papers by Hansen and by Hansen and R.R. Smith have shown how interval arithmetic (I.A.) can be used effectively to bound errors in matrix computations. This paper compares a method proposed by Hansen and R.R. Smith to straightforward use of I.A. in determinant evaluation. Computational results show what accuracy and running times can be expected when using I.A. for determinant evaluation. An application using I.A. determinants in a program to test a set of functions to see if they form a Chebyshev system is then presented. (Author)."@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/114932797> ;
    schema:inLanguage "en" ;
    schema:name "Interval arithmetic determinant evaluation and its use in testing for a chebyshev system."@en ;
    schema:productID "227487245" ;
    schema:publication <http://www.worldcat.org/title/-/oclc/227487245#PublicationEvent/ft_belvoirdefense_technical_information_center26_apr_1968> ;
    schema:publisher <http://experiment.worldcat.org/entity/work/data/114932797#Agent/defense_technical_information_center> ; # Defense Technical Information Center
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/227487245> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/114932797#Agent/defense_technical_information_center> # Defense Technical Information Center
    a bgn:Agent ;
    schema:name "Defense Technical Information Center" ;
    .

<http://experiment.worldcat.org/entity/work/data/114932797#Organization/stanford_univ_calif_dept_of_computer_science> # STANFORD UNIV CALIF Dept. of COMPUTER SCIENCE.
    a schema:Organization ;
    schema:name "STANFORD UNIV CALIF Dept. of COMPUTER SCIENCE." ;
    .

<http://experiment.worldcat.org/entity/work/data/114932797#Person/smith_lyle_b> # Lyle B. Smith
    a schema:Person ;
    schema:familyName "Smith" ;
    schema:givenName "Lyle B." ;
    schema:name "Lyle B. Smith" ;
    .

<http://experiment.worldcat.org/entity/work/data/114932797#Thing/computer_analysis> # COMPUTER ANALYSIS
    a schema:Thing ;
    schema:name "COMPUTER ANALYSIS" ;
    .

<http://experiment.worldcat.org/entity/work/data/114932797#Thing/interval_arithmetic> # INTERVAL ARITHMETIC
    a schema:Thing ;
    schema:name "INTERVAL ARITHMETIC" ;
    .

<http://experiment.worldcat.org/entity/work/data/114932797#Topic/computer_programs> # Computer programs
    a schema:Intangible ;
    schema:name "Computer programs"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/114932797#Topic/determinants_mathematics> # (Determinants(mathematics)
    a schema:Intangible ;
    schema:name "(Determinants(mathematics)"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/114932797#Topic/functions_mathematics> # Functions(mathematics)
    a schema:Intangible ;
    schema:name "Functions(mathematics)"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/114932797#Topic/matrices_mathematics> # Matrices(mathematics)
    a schema:Intangible ;
    schema:name "Matrices(mathematics)"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/114932797#Topic/numerical_analysis> # Numerical analysis
    a schema:Intangible ;
    schema:name "Numerical analysis"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/114932797#Topic/problem_solving> # Problem solving)
    a schema:Intangible ;
    schema:name "Problem solving)"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/114932797#Topic/theoretical_mathematics> # Theoretical Mathematics
    a schema:Intangible ;
    schema:name "Theoretical Mathematics"@en ;
    .

<http://www.worldcat.org/title/-/oclc/227487245>
    a genont:InformationResource, genont:ContentTypeGenericResource ;
    schema:about <http://www.worldcat.org/oclc/227487245> ; # Interval arithmetic determinant evaluation and its use in testing for a chebyshev system.
    schema:dateModified "2016-06-09" ;
    void:inDataset <http://purl.oclc.org/dataset/WorldCat> ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

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