Now showing items 1-17 of 17

    • Convergence and approximation for primal-dual methods in large-scale optimization 

      Wright, Stephen E., 1962- (1990)
      Large-scale problems in convex optimization often can be reformulated in primal-dual (minimax) representations having special decomposition properties. Approximation of the resulting high-dimensional problems by restriction ...
    • Convexity, convergence and feedback in optimal control 

      Goebel, Rafal, 1971- (2000)
      The results of this thesis are oriented towards the study of convex problems of optimal control in the extended piecewise linear-quadratic format. Such format greatly extends the classical linear-quadratic regulator problem ...
    • An electrodynamic inverse problem in chiral media 

      McDowall, Stephen R., 1969- (1998)
      We consider the inverse problem of determining the electromagnetic material parameters of a body from information obtainable only at the boundary of the body; such information comes in the form of a boundary map which we ...
    • Essential spanning forests and electric networks in groups 

      Solomyak, Margarita (1997)
      Let $\Gamma$ be a Cayley graph of a finitely generated group G. Subgraphs which contain all vertices of $\Gamma ,$ have no cycles, and no finite connected components are called essential spanning forests. The set ${\cal ...
    • Inverse transport with angularly averaged measurements 

      Langmore, Ian (2008)
      The inverse problem in radiative transfer is considered. The measurement setup involves controlling incoming radiation at the boundary of a convex domain in Rn and measuring the outgoing radiation in an attempt to ...
    • Markov partitions for hyperbolic toral automorphisms 

      Praggastis, Brenda L. (Brenda Lien), 1961- (1992)
      The study of the dynamical properties of hyperbolic toral automorphisms is simplified when the automorphisms are represented as shifts of finite type. The conventional method used to represent such an automorphism symbolically ...
    • Non-interior path-following methods for complementarity problems 

      Xu, Song, 1963- (1998)
      Because of its excellent numerical performance, non-interior path following methods (also called smoothing methods) have become an important class of methods for solving complementarity problems. However, no rate of ...
    • The nonexistence of certain free pro-p extensions and capitulation in a family of dihedral extensions of Q 

      Hubbard, David, 1955- (1996)
      $\doubz\sbsp{p}{d}$-extensions are a natural way to extend Iwasawa's theory of $\doubz\sb{p}$-extensions. A further extension would be to look at free pro-p extensions which though nonabelian, can be studied by looking at ...
    • Nonholonomic Euler-Poincaré equations and stability in Chaplygin's sphere 

      Schneider, David, 1970- (2000)
      A method of reducing several classes of nonholonomic mechanical systems that are defined on semidirect products of Lie groups is developed. The method reduces the Lagrange-d'Alembert principle to obtain a reduced constrained ...
    • On singularities of generic projection hypersurfaces 

      Doherty, Davis C (2006)
      The present work studies singularities of hypersurfaces arising from generic projections of smooth projective varieties, in the context of Du Bois and semi log canonical singularities. It is demonstrated that Du Bois ...
    • On the mod 2 general linear group homology of totally real number rings 

      Harris, Julianne S. (Julianne September) (1997)
      We study the mod 2 homology of the general linear group of rings of integers in totally real number fields. In particular, for certain such rings R, we construct a space JKR and show that the mod 2 homology of JKR is a ...
    • Problems in computational algebra and integer programming 

      Bogart, Tristram, 1980- (2007)
      This thesis is a compendium of several projects that span the gap between commutative algebra and geometric combinatorics: one in tropical geometry, one in computational algebra, and two in discrete geometry and integer ...
    • Qualitative stability properties of matrices 

      Bone, Terrence (1985)
      A matrix A is sign stable if some matrix with the same sign pattern of positive, negative, and zero entries has all eigenvalues with negative real parts. It is potentially stable if it is not sign unstable. The system A x ...
    • Selmer groups for elliptic curves with isogenies of prime degree 

      Mailhot, James Michael (2003)
      The Mordell-Weil theorem states that the points of an elliptic curve defined over a number field form a finitely generated, abelian group. The rank of this group, generally referred to as the rank of the elliptic curve, ...
    • Stable processes with opposing drifts 

      Wright, James M., 1960- (1996)
      A strong Markov process, $W\sp0$, is constructed by a natural linking together of two independent stable processes of type ($\alpha,\ \beta\sb1$) and ($\alpha,\ \beta\sb2$). The drift for a stable process X of type ($\alpha,\ ...
    • Strichartz estimates for wave equations with coefficients of Sobolev regularity 

      Blair, Matthew D (2005)
      Wave packet techniques provide an effective method for proving Strichartz estimates on solutions to wave equations whose coefficients are not smooth. In this work, such methods are used to show Strichartz inequalities for ...
    • The topology of graph homomorphisms 

      Dochtermann, Anton, 1978- (2007)
      In this thesis we consider topological aspects of graph homomorphisms. Our main object of study is the Hom complex of graphs, a space first introduced by Lovasz to obtain lower bounds on chromatic number, and more recently ...