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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 92 (1997), S. 393-418 
    ISSN: 1573-2878
    Keywords: Nonlinear least-square problems ; Levenberg–Marquardt algorithm ; nonmonotone techniques
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper, two nonmonotone Levenberg–Marquardt algorithms for unconstrained nonlinear least-square problems with zero or small residual are presented. These algorithms allow the sequence of objective function values to be nonmonotone, which accelerates the iteration progress, especially in the case where the objective function is ill-conditioned. Some global convergence properties of the proposed algorithms are proved under mild conditions which exclude the requirement for the positive definiteness of the approximate Hessian T(x). Some stronger global convergence properties and the local superlinear convergence of the first algorithm are also proved. Finally, a set of numerical results is reported which shows that the proposed algorithms are promising and superior to the monotone Levenberg–Marquardt algorithm according to the numbers of gradient and function evaluations.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Electronic Resource
    Electronic Resource
    New York : Wiley-Blackwell
    Journal of Bioluminescence and Chemiluminescence 4 (1989), S. 40-48 
    ISSN: 0884-3996
    Keywords: Purification ; site-directed mutagenesis ; mutant enzymes ; lux genes ; aldehyde substrate inhibition ; FMNH2 binding ; Chemistry ; Biochemistry and Biotechnology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Biology , Chemistry and Pharmacology
    Notes: It has been appreciated for many years that the luciferase from the luminous marine bacterium Vibrio harveyi has a highly reactive cysteinyl residue which is protected from alkylation by binding of flavin. Alkylation of the reactive thiol, which resides in a hydrophobic pocket, leads to inactivation of the enzyme. To determine conclusively whether the reactive thiol is required for the catalytic mechanism, we have constructed a mutant by oligonucleotide directed site-specific mutagenesis in which the reactive cysteinyl residue, which resides at position 106 of the α subunit, has been replaced with a seryl residue. The resulting α106Ser luciferase retains full activity in the bioluminescence reaction, although the mutant enzyme has a ca 100-fold increase in the FMNH2 dissociation constant. The α106Ser luciferase is still inactivated by N-ethylmaleimide, albeit at about 1/10 the rate of the wild-type (α106Cys) enzyme, demonstrating the existence of a second, less reactive, cysteinyl residue that was obscured in the wild-type enzyme by the highly reactive cysteinyl residue at position α106. An α106Ala variant luciferase was also active, but the α106Val mutant enzyme was about 50-fold less active than the wild type. All three variants (Ser, Ala and Val) appeared to have somewhat reduced affinities for the aldehyde substrate, the valine mutant being the most affected.It is interesting to note that the α106 mutant luciferases are much less subject to aldehyde substrate inhibition than is the wild-type V. harveyi luciferase, suggesting that the molecular mechanism of aldehyde substrate inhibition involves the Cys at α106.
    Additional Material: 2 Ill.
    Type of Medium: Electronic Resource
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