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  • Unconstrained optimization  (2)
  • 1,2-bis-Dipyrrinon-9-yl-ethene  (1)
  • Springer  (3)
  • Royal Society
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  • Springer  (3)
  • Royal Society
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  • 1
    ISSN: 1434-4475
    Keywords: 1,2-bis-Dipyrrinon-9-yl-ethene ; b-homo-Verdin ; Mesobiliverdin-XIIIα
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Zusammenfassung Die Reaktion von 9-Methyl-10H-dipyrrin-1-onen mit Brom in Dichlormethan ergab in mäßigen Ausbeuten rotgefärbte Gallenfarbstoffderivate. Sie konnten strukturell als 1,2-bis-Dipyrrinon-ethene zugeordnet werden, die ein Beispiel für die bisher unbekanntenb-Homoverdine darstellen. Darüber hinaus konnten aus der Reaktionsmischung die entsprechenden Mesobiliverdine-XIIIα isoliert werden. Die mechanistischen Aspekte dieser Reaktion werden diskutiert.
    Notes: Summary Upon treatment of 9-methyl-10H-dipyrrin-1-ones with bromine in dichloromethane, red bile pigment derivatives were obtained in moderate yields. They were structurally assigned as 1,2-bis-dipyrrinon-9-yl-ethenes, which are examples of the hitherto unknownb-homo-verdins. In addition, the correspondingmeso-biliverdins-XIIIα could be isolated from the reaction mixture. The mechanistic aspects of the reaction are discussed.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 75 (1992), S. 345-354 
    ISSN: 1573-2878
    Keywords: Unconstrained optimization ; generalized Polak-Ribière algorithms ; inexact line searches
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A new generalized Polak-Ribière conjugate gradient algorithm is proposed for unconstrained optimization, and its numerical and theoretical properties are discussed. The new method is, in fact, a particular type of two-dimensional Newton method and is based on a finite-difference approximation to the product of a Hessian and a vector.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 69 (1991), S. 129-137 
    ISSN: 1573-2878
    Keywords: Unconstrained optimization ; hybrid and restart conjugate gradient methods ; inexact line search
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The effect of inexact line search on conjugacy is studied in unconstrained optimization. A generalized conjugate gradient method based on this effect is proposed and shown to have global convergence for a twice continuously differentiable function with a bounded level set.
    Type of Medium: Electronic Resource
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