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  • 1
    Electronic Resource
    Electronic Resource
    Photorefractive properties of near-stoichiometric LiNbO3 grown from congruent melts containing K2O (2001)
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 90 (2001), S. 1516-1520 
    Details
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The photorefractive properties of nominally pure near-stoichiometric LiNbO3 crystals grown from congruent melts containing 11 mol % K2O are studied, and some photorefractive properties which are very different from those in congruent LiNbO3 crystals are observed. Large stationary energy transfer (Γmax=25 cm−1) exists in near-stoichiometric crystals though the photovoltaic field is dominant. The light-induced scattering fanning is markedly asymmetric in the crystals, which is very different from the symmetric fanning observed in congruent ones. Our analysis shows that these differences are caused by the large photovoltaic field and the relatively small density of filled traps in as-grown near-stoichiometric LiNbO3. © 2001 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.1384489
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Ilmenite-like stacking defect in nonstoichiometric lithium niobate crystals investigated by Raman scattering spectra (2000)
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 87 (2000), S. 4410-4414 
    Details
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The Raman spectra of three pure lithium niobate (LiNbO3) crystals with different content of Li and several doped LiNbO3 (Mg, In and Ti) crystals have been investigated. A weak peak at about 738 cm−1 reported as a very strong Raman peak of ilmenite phase LiNbO3 was observed for nonstoichiometric LiNbO3 crystals. The dependence of this peak on Li content and doping concentration in crystal suggested that there is a new kind of defect structure which has ilmenite-like stacking and direct relationship with antisite NbLi4+ ion. This result experimentally proved the existence of ilmenite-like stacking defect in nonstoichiometric LiNbO3 for the first time. This defect is in good agreement with the Li vacancy model and has a different structure from that proposed by Smyth [Ferroelectrics 50, 93 (1983); Proc. IEEE, p. 115 (1986)]. © 2000 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.373085
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  • 3
    Electronic Resource
    Electronic Resource
    Laser-induced dark traces in doped LiNbO3 crystals (1995)
    Woodbury, NY : American Institute of Physics (AIP)
    Applied Physics Letters 67 (1995), S. 3384-3386 
    Details
    ISSN: 1077-3118
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Laser-induced dark traces in doped LiNbO3 crystals are studied with the 1064 nm fundamental radiation and the 532 nm second harmonic radiation of the Nd:YAG laser operating in a pulse mode. The results show that the dark traces are induced only by the 532 nm radiation. The linear relationship between the transmission loss and the 532 nm power density indicates that dark traces are not due to two-photon absorption. The recovery rates of the absorption in LiNbO3 with different wavelength probe laser are measured and show that laser-induced dark traces accompany more than one defect appearing in LiNbO3, and disappear quicker at higher temperature. © 1995 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.114901
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  • 4
    Electronic Resource
    Electronic Resource
    A penalized Fischer-Burmeister NCP-function (2000)
    Springer
    Mathematical programming 88 (2000), S. 211-216 
    Details
    ISSN: 1436-4646
    Keywords: Key words: nonlinear complementarity problem – Newton’s method – semismoothness
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract. We introduce a new NCP-function in order to reformulate the nonlinear complementarity problem as a nonsmooth system of equations. This new NCP-function turns out to have stronger theoretical properties than the widely used Fischer-Burmeister function and other NCP-functions suggested previously. Moreover, numerical experience indicates that a semismooth Newton method based on this new NCP-function performs considerably better than the corresponding method based on the Fischer-Burmeister function.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/PL00011375
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  • 5
    Electronic Resource
    Electronic Resource
    Proximal quasi-Newton methods for nondifferentiable convex optimization (1999)
    Springer
    Mathematical programming 85 (1999), S. 313-334 
    Details
    ISSN: 1436-4646
    Keywords: Key words: nondifferentiable convex optimization – proximal point – quasi-Newton method – cutting-plane method – bundle methods Mathematics Subject Classification (1991): 65K05, 90C30
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: n . The method is based on Rockafellar’s proximal point algorithm and a cutting-plane technique. At each step, we use an approximate proximal point pa(xk) of xk to define a vk∈∂εkf(pa(xk)) with εk≤α∥vk∥, where α is a constant. The method monitors the reduction in the value of ∥vk∥ to identify when a line search on f should be used. The quasi-Newton step is used to reduce the value of ∥vk∥. Without the differentiability of f, the method converges globally and the rate of convergence is Q-linear. Superlinear convergence is also discussed to extend the characterization result of Dennis and Moré. Numerical results show the good performance of the method.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s101070050059
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  • 6
    Electronic Resource
    Electronic Resource
    A Global Linear and Local Quadratic Continuation Smoothing Method for Variational Inequalities with Box Constraints (2000)
    Springer
    Computational optimization and applications 17 (2000), S. 131-158 
    Details
    ISSN: 1573-2894
    Keywords: variational inequality ; continuation smoothing method ; linear convergence ; quadratic convergence
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract In this paper, we propose a continuation method for box constrained variational inequality problems. The continuation method is based on the class of Gabriel-Moré smooth functions and has the following attractive features: It can start from any point; It has a simple and natural neighborhood definition; It solves only one approximate Newton equation at each iteration; It converges globally linearly and locally quadratically under nondegeneracy assumption at the solution point and other suitable assumptions. A hybrid method is also presented, which is shown to preserve the above convergence properties without the nondegeneracy assumption at the solution point. In particular, the hybrid method converges finitely for affine problems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1026546230851
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  • 7
    Electronic Resource
    Electronic Resource
    A parallel inexact newton method for stochastic programs with recourse (1996)
    Springer
    Annals of operations research 64 (1996), S. 113-141 
    Details
    ISSN: 1572-9338
    Keywords: Stochastic programming ; inexact Newton method ; parallel quadratic programming ; numerical integration
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Economics
    Notes: Abstract A parallel inexact Newton method with a line search is proposed for two-stage quadratic stochastic programs with recourse. A lattice rule is used for the numerical evaluation of multi-dimensional integrals, and a parallel iterative method is used to solve the quadratic programming subproblems. Although the objective only has a locally Lipschitz gradient, global convergence and local superlinear convergence of the method are established. Furthermore, the method provides an error estimate which does not require much extra computation. The performance of the method is illustrated on a CM5 parallel computer.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02187643
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  • 8
    Electronic Resource
    Electronic Resource
    A parameterized Newton method and a quasi-Newton method for nonsmooth equations (1994)
    Springer
    Computational optimization and applications 3 (1994), S. 157-179 
    Details
    ISSN: 1573-2894
    Keywords: Newton's method ; Broyden-like method ; nonsmooth equations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract This paper presents a parameterized Newton method using generalized Jacobians and a Broyden-like method for solving nonsmooth equations. The former ensures that the method is well-defined even when the generalized Jacobian is singular. The latter is constructed by using an approximation function which can be formed for nonsmooth equations arising from partial differential equations and nonlinear complementarity problems. The approximation function method generalizes the splitting function method for nonsmooth equations. Locally superlinear convergence results are proved for the two methods. Numerical examples are given to compare the two methods with some other methods.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01300972
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  • 9
    Book
    Book
    Topics in numerical analysis with special emphasis on nonlinear problems; 15 (2001)
    Wien u.a. :Springer,
    Details
    Title: Topics in numerical analysis with special emphasis on nonlinear problems; 15
    Contributer: Alefeld, Goetz , Chen, Xiaojun
    Publisher: Wien u.a. :Springer,
    Year of publication: 2001
    Pages: 249 S.
    Series Statement: Computing 15
    Type of Medium: Book
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    ZIB Catalog
    Zuse Institute Berlin get availability status
  • 10
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    AutoImplant 2020 - First MICCAI Challenge on Automatic Cranial Implant Design (2021)
    Details
    Publication Date: 2021-11-25
    Description: The aim of this paper is to provide a comprehensive overview of the MICCAI 2020 AutoImplant Challenge. The approaches and publications submitted and accepted within the challenge will be summarized and reported, highlighting common algorithmic trends and algorithmic diversity. Furthermore, the evaluation results will be presented, compared and discussed in regard to the challenge aim: seeking for low cost, fast and fully automated solutions for cranial implant design. Based on feedback from collaborating neurosurgeons, this paper concludes by stating open issues and post-challenge requirements for intra-operative use.
    Language: English
    Type: article , doc-type:article
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