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SECOND-ORDER CONVERGENCE PROPERTIES OF TRUST-REGION METHODS USINGINCOMPLETE CURVATURE INFORMATION, WITH AN APPLICATION TO MULTIGRID OPTIMIZATION
Nonlinear optimization Convergence to local minimizers Multilevel problems
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2007/12/11
Convergence properties of trust-region methods for unconstrained nonconvex
optimization
is considered in the case where information on the objective function's local
curvature is incomplete, in the...
THE IRREGULAR OBLIQUE DERIVATIVE PROBLEM FOR NONLINEAR ELLIPTIC SYSTEMS OF SECOND ORDER
Irregular oblique deriVative problem
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2007/12/10
摘要 This paper deals with the irregular oblique derivative boundary value problemfor nonlinear elliptic systems of second order equations in multiply connected domains.Firstly the well-posedness of the...
BIFURCATIONS FROM HOMOCLINIC ORBITS FOR SECOND ORDER HAMILTONIAN SYSTEM
Bifurcations homoclinic orbit Hamilton
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2007/8/7
An existence theorem of homoclinic orbit is given for second order Hamiltonian system -\"{x}(t) + a(t)x(t) - W_x(t, x(t)) = \lambda x(t) when \lambda=\lambda_1, where \lambda_1 is the first eigenvalue...