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  • 1970-1974  (2)
  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Computing 8 (1971), S. 32-39 
    ISSN: 1436-5057
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Summary Several iterative methods for determining the spectral radius ϱ of a nonnegative matrixA are given. Convergence is proved under the assumption of irreducibility. Contrary to the power method, these methods are insensitive to the presence of other eigenvalues with modulus ϱ.
    Notes: Zusammenfassung Es werden mehrere Iterationsverfahren zur Bestimmung des Spektralradius ϱ einer nichtnegativen MatrixA angegeben. Ihre Konvergenz wird unter der Voraussetzung bewiesen, daßA irreduzibel ist. Die Verfahren sind, im Gegensatz zur Potenzmethode, unempfindlich gegen das Vorhandensein mehrerer Eigenwerte vom Betrage ϱ.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Computing 9 (1972), S. 69-73 
    ISSN: 1436-5057
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Summary Supplementary to a former paper with the same title additional iterative methods for computing the spectralradius and the positive eigenvector of a nonnegative irreducible matrix are given and convergence is proved. Here the smallest quotients of the approximating vectors are monotously converging to the spectral radius. Inclusions for the positive eigenvectory are given, from which the convergence of the approximations toy is deduced.
    Notes: Zusammenfassung In Ergänzung einer früheren gleichlautenden Arbeit werden weitere iterative Verfahren zur Berechnung des Spektralradius und des zugehörigen positiven Eigenvektors einer nichtnegativen irreduziblen Matrix angegeben und die Konvergenz bewiesen. Dabei streben die kleinsten Quotienten der Näherungsvektoren monoton gegen den Spektralradius. Es werden Einschließungsaussagen für den positiven Eigenvektory bewiesen und daraus die Konvergenz der Näherungen, gegeny hergeleitet.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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