Now showing items 1-10 of 16
An SQP Augmented Lagrangian BFGS Algorithm for Constrained Optimization
In this research we present an effective algorithm for nonlinearly constrained optimization using the structured augmented Lagrangian secant update recently proposed by Tapia. The algorithm is globally defined, and uses a ...
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 ...
A Trace Theorem for Solutions of Linear Partial Differential Equations
The main goal of this work is to determine circumstances under which the trace of the solution of a linear partial differential equation is as smooth as the solution itself. Clearly, if the linear partial differential ...
The Effect of Caustics in Acoustic Inverse Scattering Experiments
Most inversion techniques described in the literature rely on the validity of ray tracing, which breaks down in the presence of caustics. The linearized acoustic inverse problem with constant reference velocity is analyzed ...
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 ...
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 ...