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  • AMS(MOS): 65K10  (1)
  • Sequential quadratic programming  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Mathematical programming 51 (1991), S. 281-305 
    ISSN: 1436-4646
    Keywords: Sequential quadratic programming ; parameter identification ; 65K10 ; 65H10 ; 49D37
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract We analyze the method of sequential quadratic programming for equality constrained minimization problems in Hilbert spaces of functions, and for the discrete approximations of such problems in the context of an elliptic parameter identification problem. We show how the discretization can be constructed so as to preserve the convergence behavior of the iterates for the infinite dimensional problem in the finite dimensional approximations. We use the structure of the parameter identification problem to reduce the size of the linear system for the SQP step and verify nondegeneracy of the constraints.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Numerische Mathematik 55 (1989), S. 159-176 
    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
    Library Location Call Number Volume/Issue/Year Availability
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