## Search

Now showing items 1-10 of 23

#### Magnetic damping of an elastic conductor

(2009)

Many applications call for a design that maximizes the rate of energy decay. Typical problems of this class include one dimensional damped wave operators, where energy dissipation is caused by a damping operator acting on ...

#### Historical development of the BFGS secant method and its characterization properties

(2009)

The BFGS secant method is the preferred secant method for finite-dimensional unconstrained optimization. The first part of this research consists of recounting the historical development of secant methods in general and ...

#### Deformations of simply periodic Scherk-type minimal surfaces

(2009)

We demonstrate that a certain dimensional family of symmetric singly-periodic minimal surface with Scherk-type ends exists in the neighborhood of a given example if a set of holomorphic quadratic differentials is independent. ...

#### Efficient alternating gradient-type algorithms for the approximate non-negative matrix factorization problem

(2009)

The approximate non-negative matrix factorization problem (ANMF) seeks to interpret a given set of non-negative data vectors, where the non-negativity is physically meaningful, through the extraction of a sufficiently small ...

#### Interval exchange transformations: Applications of Keane's construction and disjointness

(2010)

This thesis is divided into two parts. The first part uses a family of Interval Exchange Transformations constructed by Michael Keane to show that IETs can have some particular behavior including: (1) IETs can be topologically ...

#### Higher-order analogues of genus and slice genus of classical knots

(2009)

We define invariants analogous to the genus and slice genus of knots in S3. For algebraically slice, genus one knots, we define the differential genus, denoted dg, and we prove it is independent of the Alexander polynomial ...

#### Ritz values and Arnoldi convergence for nonsymmetric matrices

(2009)

The restarted Arnoldi method, useful for determining a few desired eigenvalues of a matrix, employs shifts to refine eigenvalue estimates. In the symmetric case, using selected Ritz values as shifts produces convergence ...

#### State cycles, quasipositive modification, and constructing H-thick knots in Khovanov homology

(2010)

We study Khovanov homology classes which have state cycle representatives, and examine how they interact with Jacobsson homomorphisms and Lee's map phi. As an application, we describe a general procedure, quasipositive ...

#### Perturbed, Genus One Scherk Surfaces and their limits

(2009)

The singly periodic, genus one helicoid is conjectured to be the limit of a one parameter family of doubly periodic minimal surfaces referred to as Perturbed Genus One Scherk Surfaces. Using elementary elliptic function ...

#### Asymptotics under self-intersection for minimizers of self-avoiding energies

(2009)

A knot energy is a real-valued function on a space of curves which in some sense assigns higher energy values to more complicated curves. The key property of any knot energy is self-repulsiveness: for a sequence of curves ...