Now showing items 121-126 of 126
Propagation of Singularities and Some Inverse Problems in Wave Propagation
We review a number of results relating the propagation of singularities for hyperbolic partial differential equations - i.e. the persistence, or nonlocalization, of wave motion - with well-posedness for some inverse problems ...
A Unified Approach to Global Convergence of Trust Region Methods for Nonsmooth Optimization
This paper investigates the global convergence of trust region (TR) methods for solving nonsmooth minimization problems. For a class of nonsmooth objective functions called regular functions, conditions are found on the ...
Convergence Rates for the Variable, the Multiplier, and the Pair in SQP Methods
In this work we consider relationships among the convergence rates for the variable x, for the multiplier lambda and for the pair (x,lambda) in SQP methods for equality constrained optimization. We show that if the convergence ...