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Now showing items 1-10 of 10

#### A class of symmetric two dimensional logarithmic potentials

(1993)

This thesis discusses the solution of an elliptical conductor problem in two dimensions. This problem can be easily solved in higher dimensions, but in two dimensions, the potential function is logarithmic near infinity. ...

#### Solving structured 0/1 integer programs arising from truck dispatching scheduling problems

(1993)

A branch-and-cut IP solver is developed for a class of structured 0/1 integer programs arising from a truck dispatching scheduling problem. This problem is characterized by a group of set partitioning constraints and a ...

#### Singularities of subanalytic sets and energy minimizing maps

(1993)

This thesis studies some problems derived from differential topology and differential geometry by techniques developed from geometric measure theory, variational calculus, and partial differential equations. It consists ...

#### Invariants of graphs

(1993)

We define an infinite sequence of invariants $\bar\mu\sb{K}$ of connected, finite graphs K. These invariants detect whether or not a "longitude" associated to a cycle in K lies in the $n\sp{th}$ term of the lower central ...

#### Multilevel algorithms for nonlinear equations and equality constrained optimization

(1993)

A general trust region strategy is proposed for solving nonlinear systems of equations and equality constrained optimization problems by means of multilevel algorithms. The idea is to use the trust region strategy to ...

#### Critical points of the determinant of the Laplace operator

(1993)

The determinant of the Laplace operator, det $\Delta$, is a function on the set of metrics on a compact manifold. Generalizing the work of Osgood, Phillips, and Sarnak on surfaces, we consider one-parameter variations of ...

#### Compactification problems in the theory of characteristic currents associated with a singular connection

(1993)

A compactification of the Chern-Weil theory for bundle maps developed by Harvey and Lawson is described. For each smooth section $\nu$ of the compactification $\IP(\underline{\doubc}\oplus F)\to X$ of a rank n complex ...

#### Optimal trajectories for the aeroassisted flight experiment

(1993)

The aeroassisted flight experiment (AFE) is to simulate a transfer from a geosynchronous Earth orbit (GEO) to a low Earth orbit (LEO). Specifically, the AFE spacecraft is released from the Space Shuttle and is accelerated ...

#### Anomalies in finite dimensions

(1993)

A problem in quantum mechanics is finding a determinant function on linear maps between two vector spaces. In this paper we consider the question in the context of finite dimensional vector spaces. Given two finite dimensional ...

#### A global convergence theory for a general class of trust region algorithms for equality constrained optimization

(1993)

This work is concerned with global convergence results for a broad class of trust region sequential quadratic programming algorithms for the smooth nonlinear programming problem with equality constraints. The family of ...