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  • 2000-2004  (1)
  • 1990-1994  (3)
  • 42.60.By  (2)
  • global convergence  (2)
  • 1
    Electronic Resource
    Electronic Resource
    Hydrogen-like recombination X-ray lasers using ps pulse drivers (1994)
    Springer
    Applied physics 58 (1994), S. 13-18 
    Details
    ISSN: 1432-0649
    Keywords: 42.60.By ; 32.30.Rj ; 32.70.-n ; 52.50.Jm
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We propose a scheme for producing high gain recombination X-ray lasers on hydrogen-like Balmer α transitions by irradiating fibre targets with a 2 ps Chirped Pulse Amplification CPA beam of a Nd-glass laser facility. Very high gain coefficients for H-like C, N, O, F, Na Balmer α transitions are predicted. The optimum electron density and temperature for maximum gain operation scale approximately asN e ∼ 4 × 1013 Z 7 cm−3 and Te ∼ 7 × 10−3 Z 4 eV, respectively, at the time when maximum lasing gain appears. Significant improvement in gain performance of recombination X-ray lasers is predicted by using CPA ps pulse drivers.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01081707
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Preliminary studies of radiation coupling between remote soft X-ray laser amplifiers (1994)
    Springer
    Applied physics 58 (1994), S. 51-56 
    Details
    ISSN: 1432-0649
    Keywords: 42.60.By ; 42.60.Kg ; 42.10.Mg
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Coupling of a soft X-ray laser beam with a relaying concave mirror in a sequentially pumped amplifier geometry using the Ne-like Ge system has been studied experimentally. Preliminary observations indicate an increase in the spatial coherence of the amplified relayed beam. In addition, near-field imaging of one of the amplifier plasmas shows a double-lobed intensity pattern of the emergent beam indicating refractive guiding of the amplified beam with components both normal and tangential to the target surface.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01081713
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Globally Convergent Inexact Generalized Newton Method for First-Order Differentiable Optimization Problems (2000)
    Springer
    Journal of optimization theory and applications 106 (2000), S. 551-568 
    Details
    ISSN: 1573-2878
    Keywords: nonsmooth optimization ; inexact Newton methods ; generalized Newton methods ; global convergence ; superlinear rate
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Motivated by the method of Martinez and Qi (Ref. 1), we propose in this paper a globally convergent inexact generalized Newton method to solve unconstrained optimization problems in which the objective functions have Lipschitz continuous gradient functions, but are not twice differentiable. This method is implementable, globally convergent, and produces monotonically decreasing function values. We prove that the method has locally superlinear convergence or even quadratic convergence rate under some mild conditions, which do not assume the convexity of the functions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1004605428858
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Projected quasi-Newton algorithm with trust region for constrained optimization (1990)
    Springer
    Journal of optimization theory and applications 67 (1990), S. 369-393 
    Details
    ISSN: 1573-2878
    Keywords: Two-sided projected Hessians ; trust regions ; differentiable penalty functions ; global convergence ; two-step Q-superlinear rate ; constrained optimization
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In Ref. 1, Nocedal and Overton proposed a two-sided projected Hessian updating technique for equality constrained optimization problems. Although local two-step Q-superlinear rate was proved, its global convergence is not assured. In this paper, we suggest a trust-region-type, two-sided, projected quasi-Newton method, which preserves the local two-step superlinear convergence of the original algorithm and also ensures global convergence. The subproblem that we propose is as simple as the one often used when solving unconstrained optimization problems by trust-region strategies and therefore is easy to implement.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00940481
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    Paper (German National Licenses)
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