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  • 1
    Electronic Resource
    Electronic Resource
    Numerical validation for an inverse matrix eigenvalue problem (1994)
    Springer
    Computing 53 (1994), S. 311-322 
    Details
    ISSN: 1436-5057
    Keywords: 65F15 ; 65G10 ; Inverse eigenvalue problem ; enclosure for the inverse eigenvalue problem ; interval computation ; Newton's method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Wir geben einen Algorithmus an, mit dem man Lösungen eines additiven inversen Matrizen-Eigenwertproblems nachweisen kann. Der Algorithmus beruht auf dem Newton-Verfahren, für das ein neues Abbruchkriterium verwendet wird. Er liefert enge Schranken für die Lösungen des Problems und garantiert so die meisten ihrer führenden Ziffern in einem gegebenem Gleitpunktsystem.
    Notes: Abstract We describe an algorithm with which one can verify solutions of an additive inverse matrix eigenvalue problem. The algorithm is based on Newton's method using a new criterion for terminating the iteration. In addition, it yields tight interval bounds for the solutions of the problem, thus guaranteeing most of their leading digits in a given floating point system.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02307382
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  • 2
    Electronic Resource
    Electronic Resource
    Evaluation of risk factors for the development of nephropathy in patients with IDDM: insertion/deletion angiotensin converting enzyme gene polymorphism, hypertension and metabolic control (1997)
    Springer
    Diabetologia 40 (1997), S. 327-331 
    Details
    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
    URL: http://dx.doi.org/10.1007/s001250050682
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    Paper (German National Licenses)
    Fulltext
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