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  • 1
    Electronic Resource
    Electronic Resource
    Approximate quasi-Newton methods (1990)
    Springer
    Mathematical programming 48 (1990), S. 41-70 
    Details
    ISSN: 1436-4646
    Keywords: 45D15 ; 65H10 ; Quasi-Newton methods ; interpolation ; boundary value problems ; integral equations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract We consider the effect of approximation on performance of quasi-Newton methods for infinite dimensional problems. In particular we study methods in which the approximation is refined at each iterate. We show how the local convergence behavior of the quasi-Newton method in the infinite dimensional setting is affected by the refinement strategy. Applications to boundary value problems and integral equations are considered.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01582251
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    A pointwise quasi-Newton method for unconstrained optimal control problems (1989)
    Springer
    Numerische Mathematik 55 (1989), S. 159-176 
    Details
    ISSN: 0945-3245
    Keywords: AMS(MOS): 65K10 ; CR: G1.6
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary For a class of unconstrained optimal control problems we propose a quasi-Newton method that exploits the structure of the problem. We define a new type of superlinear convergence for sequences in function spaces and prove superlinear convergence of the iterates generated by the quasi-Newton method in this sense.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01406512
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    Paper (German National Licenses)
    Fulltext
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