Now showing items 1-10 of 16
Velocity Inversion by Coherency Optimization
We introduce an approach to velocity and reflectivity estimation based on optimizing the coherence of multiple shot-gather inversions of reflection seismograms. The resulting algorithm appears to avoid the severe convergence ...
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 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 ...
Solving Linear Programs with Two Processors
A linear programming problem can be solved in parallel using two processors. One processor performs iterations of the main algorithm, while the other processor continuously refactorizes the basis matrix. Using this method ...
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 ...