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  • Articles  (2)
  • 65G10  (2)
  • Springer  (2)
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  • Springer  (2)
  • American Chemical Society
  • American Chemical Society (ACS)
  • American Geophysical Union
  • Frontiers Media
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  • 2015-2019
  • 2005-2009
  • 1990-1994
  • 1980-1984  (2)
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  • Computer Science  (2)
  • 1
    Electronic Resource
    Electronic Resource
    A remark about the convergence of interval sequences (1983)
    Springer
    Computing 31 (1983), S. 255-259 
    Details
    ISSN: 1436-5057
    Keywords: 65G10 ; 65H10 ; 65J15 ; Systems of equations ; interval operators ; interval iterations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Bei manchen Intervalliterationen wird zur Konvergenz einer entsprechenden Intervallfolge vorausgesetzt, daß σ(r)〈1 ist, wobei σ den Spektralradius vonr bezeichnet undr eine nichtnegative Lipschitzmatrix ist. In dieser Arbeit werden die Aussagen auf den Fall σ(r)=1 erweitert.
    Notes: Abstract By some interval iterations the condition σ(r)〈1 will be assumed for the convergence of the corresponding interval sequence by which σ denotes the spectral radius ofr, andr is a nonnegative Lipschitz matrix. In this paper the theorems are extended for the case σ (r)=1.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02263435
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Interval operators of a function of which the Lipschitz matrix is an interval M-matrix (1983)
    Springer
    Computing 31 (1983), S. 245-253 
    Details
    ISSN: 1436-5057
    Keywords: 65G10 ; 65H10 ; 65J15 ; Systems of equations ; interval operators ; interval iterations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Es gibt verschiedene Intervalliterationen unter Verwendung von Intervalloperatoren, welche eine Folge von Intervallen zur Einschließung aller Lösungen einer Gleichungf(x)=0 in einem gegebenen IntervallX 0 liefern und welche die Kenntnis einer Lipschitz-IntervallmatrixL vonf erfordern. In dieser Arbeit werden Existenz-und Konvergenzaussagen für den Fall gemacht, daßL eineM-Intervallmatrix ist.
    Notes: Abstract There are several interval iterations by applying interval operators which supply an interval sequence including all solutions of an equationf(x)=0 in a given intervalX 0 and which require the knowledge of an interval Lipschitz matrixL off. In this paper statements are made about existence and convergence in case thatL is an intervalM-matrix.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02263434
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
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