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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 97 (1998), S. 385-406 
    ISSN: 1573-2878
    Keywords: Unary optimization ; trust-region methods ; indefinite dogleg curve ; Bunch–Parlett factorization ; rank-one update
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper, we propose two modified partial-update algorithms for solving unconstrained unary optimization problems based on trust-region stabilization via indefinite dogleg curves. The two algorithms partially update an approximation to the Hessian matrix in each iteration by utilizing a number of times the rank-one updating of the Bunch–Parlett factorization. In contrast with the original algorithms in Ref. 1, the two algorithms not only converge globally, but possess also a locally quadratic or superlinear convergence rate. Furthermore, our numerical experiments show that the new algorithms outperform the trust-region method which uses the partial update criteria suggested in Ref. 1.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    Journal of Raman Spectroscopy 14 (1983), S. 284-287 
    ISSN: 0377-0486
    Keywords: Chemistry ; Analytical Chemistry and Spectroscopy
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: Laser Raman spectra of trans-sodium hyponitrite (Na2N2O2) as a solid and in aqueous solution have been recorded, together with its infrared spectrum. Polarization data for the aqueous solution Raman spectra were also determined for the first time. The results confirm the trans structure of the hyponitrite ion and also have led to a new vibrational assignment. Force constant calculations have been carried out and these accurately predict the observed frequency shifts upon isotopic substitution. The potential energy distributions were also determined and these provide a useful picture of the coupling of the vibrational modes.
    Additional Material: 2 Ill.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    Journal of Raman Spectroscopy 17 (1986), S. 467-469 
    ISSN: 0377-0486
    Keywords: Chemistry ; Analytical Chemistry and Spectroscopy
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: The reactions of I2 with phenazine (PH), acridine (AC) and hexamethylenetetramine (HMTA) have been investigated by resonance Raman and far-infrared spectroscopy. The results indicate that the species (PH)2I+I3-, (AC)2I+I3- and (HMTA)2I+I3- are formed. However, the 1:1 adduct I2. PH is also produced and this can be obtained in relatively pure form by recrystallization.
    Additional Material: 3 Ill.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    Journal of Raman Spectroscopy 14 (1983), S. 232-235 
    ISSN: 0377-0486
    Keywords: Chemistry ; Analytical Chemistry and Spectroscopy
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: The products of the reactions of HCl or HBr with nitrogen dioxide at 12 K have been examined using Raman spectroscopy. For the NO2+HCl reaction spectroscopic evidence for Cl3+, asym-N2O2, N2O3, N2O4, ClNO2, ClNO3, NO3-, NO2-, and sym-N2O2 was found. For the reaction with HBr only Br3+, was detected due to resonance Raman enhancement effects. These results are consistent with the previously proposed gas-phase reaction scheme for HCl+NO2. However, the reaction proceeds further at low temperatures to produce Cl3+ (or Br3+). The Raman frequencies for Cl3+ were observed at 515(ν3), 462(ν1), and 236 cm-1(ν2). The Br3+ resonance Raman spectra, which represent the first well documented spectra for this species, show strong fundamental bands at 281(ν1) and 227 and 238 cm-1 (doublet for ν2) as well as an overtone doublet at 471 and 487 cm-1.
    Additional Material: 2 Ill.
    Type of Medium: Electronic Resource
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