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  • Articles  (5)
  • Articles: DFG German National Licenses  (5)
  • Articles and Proceedings (GFZpublic)
  • AMS(MOS)  (5)
  • 1990-1994
  • 1985-1989  (5)
  • 1950-1954
  • 1987  (5)
  • Mathematics  (5)
Collection
  • Articles  (5)
Source
  • Articles: DFG German National Licenses  (5)
  • Articles and Proceedings (GFZpublic)
Publisher
Years
  • 1990-1994
  • 1985-1989  (5)
  • 1950-1954
Year
Topic
  • Mathematics  (5)
  • 1
    ISSN: 1572-9125
    Keywords: AMS(MOS) ; 65H05 ; CR ; 5.15 ; Simultaneous iterative methods ; polynomial zeros ; R-order of convergence
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Second order methods for simultaneous approximation of multiple complex zeros of a polynomial are presented. Convergence analysis of new iteration formulas and an efficient criterion for the choice of the appropriate value of a root are discussed. A numerical example is given which demonstrates the effectiveness of the presented methods.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    BIT 27 (1987), S. 235-247 
    ISSN: 1572-9125
    Keywords: AMS(MOS) ; 65R20 ; Numerical analysis ; Volterra integral equations of the first kind ; convergence ; asymptotic error expansions ; extrapolation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The numerical solution of Volterra integral equations of the first kind can be achieved via product integration. This paper establishes the asymptotic error expansions of certain product integration rules. The rectangular rules are found to produce expansions containing all powers ofh, and the midpoint product method is found to produce even powers ofh. Extrapolation to the limit is then applied.
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    BIT 27 (1987), S. 585-598 
    ISSN: 1572-9125
    Keywords: AMS(MOS) ; 65F35 ; 15A60
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A method of finding the closest normal matrix in the Frobenius matrix norm is developed. It is shown that if a matrix is represented in those coordinates where its closest normal matrix is diagonal, its restriction to any pair of coordinate directions is a multiple of a real diagonal and skew nondiagonal 2×2 matrix. A convergent algorithm to bring an arbitrary matrix into that form is described and results of numerical tests are reported.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Numerische Mathematik 51 (1987), S. 545-557 
    ISSN: 0945-3245
    Keywords: AMS(MOS) ; 65G99 ; 65J15 ; CR: G1.5
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary A convergence theorem for Newton-like methods in Banach spaces is given, which improves results of Rheinboldt [27], Dennis [4], Miel [15, 16] and Moret [18] and includes as a special case an updated (affine-invariant [6]) version of the Kantorovich theorem for the Newton method given in previous papers [35, 36]. Error bounds obtained in [34] are also improved. This paper unifies the study of finding sharp error bounds for Newton-like methods under Kantorovich type assumptions.
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Numerische Mathematik 52 (1987), S. 483-497 
    ISSN: 0945-3245
    Keywords: AMS(MOS) ; 30D10, 30D15. 65E05 ; CR: G1.m
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary A lower bound is constructively found for the de Bruijn-Newman constant Λ, which is related to the Riemann Hypothesis. This lower bound is determined by explicitly exhibiting an associated jensen polynomial with nonreal zeros.
    Type of Medium: Electronic Resource
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