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  • 65H10  (3)
  • ACE polymorphism  (1)
  • Aging process  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Amsterdam : Elsevier
    Archives of Gerontology and Geriatrics 8 (1989), S. 29-36 
    ISSN: 0167-4943
    Keywords: Aging process ; Attention-related mechanisms ; Electrical stimulus intensity ; Psychometric test ; Rats ; Reduced orientation response of the aging brain
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Medicine
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Computing 42 (1989), S. 171-186 
    ISSN: 1436-5057
    Keywords: 65G10 ; 65H10 ; 65W05 ; CR: G. 1.0 ; G.1.5 ; Parallel methods ; nonlinear systems ; enclosures ; error bounds ; interval iterative methods ; multisplittings
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Für gewisse Systeme nichtlinearer GleichungenF(x)=0 entwicklen wir ein Verfahren, welches iterativ enge untere und obere Schranken für die Nullstellen vonF berechnet. Das Verfahren beruht auf einem Multisplitting für bestimmte Matrizen und weist so in natürlcher Weise Parallelität auf. Wir geben Kriterien für die Konvergenz der Schranken gegen die Nullstellen an und untersuchen die Konvergenzgeschwindigkeit.
    Notes: Abstract For some systems of nonlinear equationsF(x)=0 we derive an algorithm which iteratively constructs tight lower and upper bounds for the zeros ofF. The algorithm is based on a multisplitting of certain matrices thus showing a natural parallelism. We prove criteria for the convergence of the bounds towards the zeros and we investigate the speed of convergence.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Computing 48 (1992), S. 125-128 
    ISSN: 1436-5057
    Keywords: 65H10 ; 65G10 ; Nonlinear equations ; systems of nonlinear equations ; interval Newton method ; interval Gaussian algorithm
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung In der vorliegenden Arbeit werden das Intervall-Newton-Verfahren und das vereinfachte Intervall-Newton-Verfahren betrachtet, um enge Schranken für die Lösungen nichtlinearer Gleichungssysteme zu erhalten. Unter starkem Bezug auf eine Arbeit von Alefeld über diese beiden Verfahren leiten wir einen Zusammenhang zwischen den beiden Matrizen her, die in der erwähnten Veröffentlichung bei der Formulierung hinreichender Konvergenzkriterien auftreten. Desweiteren beantworten wir eine dort gestellte Frage über den Abbruch der Verfahren nach endlich vielen Schritten.
    Notes: Abstract In this paper we consider the interval Newton method and its simplified version to find tight bounds for the solutions of systems of nonlinear equations. Referring to a paper of Alefeld on this subject, we derive a connection between the two matrices used there to formulate sufficient criteria for the convergence of these methods. We also answer an open question concerning the break down of the Newton method after a finite number of steps.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Computing 44 (1990), S. 221-235 
    ISSN: 1436-5057
    Keywords: 65G10 ; 65H10 ; Newton's method ; Newton-Gauss-Seidel method ; nonlinear equations ; R-order ; interval analysis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Wir betrachten Modifikationen des Intervall-Newton-Verfahrens, welche zwei Ansätze miteinander verbinden: Mehrfache (z.B.s-fache) Verwendung derselben Auswertung der Jacobi-Matrix und näherungsweise Lösung der Newton-Gleichung mit einem „linearen” Iterationsprozeß. Insbesondere zeigen wir, daß dieR-Ordnung dieser Verfahrens+1 werden kann. Wir illustrieren unsere Ergebnisse an einem numerischen Beispiel.
    Notes: Abstract We consider modifications of the interval Newton method which combine two ideas: Reusing the same evaluation of the Jacobian several (says) times and approximately solving the Newton equation by some ‘linear’ iterative process. We show in particular that theR-order of these methods may becomes+1. We illustrate our results by a numerical example.
    Type of Medium: Electronic Resource
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  • 5
    ISSN: 1432-0428
    Keywords: Keywords Diabetic nephropathy ; risk factors ; ACE polymorphism ; glycaemic control ; hypertension.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary Diabetic nephropathy represents a major complication in patients with insulin-dependent diabetes mellitus (IDDM). Intervention trials using angiotensin-converting enzyme (ACE) inhibitors have pointed towards the important pathogenetic role of the renin-angiotensin system. Recently an insertion/deletion (I/D) polymorphism for the gene encoding the ACE has been described, the deletion type being associated with higher plasma ACE levels. As the intrarenal renin-angiotensin system might also be activated in this setting, we determined the ACE genotype together with other risk factors for the development of diabetic nephropathy in 122 patients with IDDM from a single centre with (n = 63) and without (n = 59) nephropathy. Long-term glycaemic control was evaluated using mean HbA1c values from the last 10 years. The two patient group were comparable with regard to duration of diabetes and glycaemic control as assessed by current HbA1c values. However, mean long-term HbA1c values were significantly higher in patients with diabetic nephropathy as was systemic blood pressure. The DD genotype was more prevalent in patients with renal disease. In the subgroup of patients who had had diabetes for more than 20 years (n = 90), the DD genotype was even more frequent in patients with nephropathy, and blood pressure and long-term HbA1c values were also higher in patients with renal disease. Logistic regression analysis revealed long-term glycaemic control, blood pressure and the ACE genotype to be independent risk factors for the prevalence of diabetic nephropathy. [Diabetologia (1997) 40: 327–331]
    Type of Medium: Electronic Resource
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