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Mathematics: Recent submissions
Now showing items 441-460 of 462
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A STRUCTURED METHOD FOR THE REAL QUADRATIC EIGENVALUE PROBLEM FOR SPECIFIC GYROSCOPIC SYSTEMS
(University of Kansas, 2008-12-15)This study examines a specific numerical approach that computes the eigenvalues (normal modes) of a Quadratic Eigenvalue Problem (QEP) of the form (&lambda^2 & middotI + &lambda · B + C)· x = 0 where B is constrained to a ... -
Some Properties of Realcompact Subspaces and Coarser Normal Spaces
(University of Kansas, 2009-04-23)In this work we obtain results in two areas of topology, normal condensations of products and size of realcompact subspaces of a space. In 2000 Swardson proved that every uncountable compact space has a realcompact subspace ... -
Coarser connected topologies and non-normality points
(University of Kansas, 2009-01-01)We investigate two topics, coarser connected topologies and non-normality points. The motivating question in the first topic is: When does a space have a coarser connected topology with a nice topological property? We will ... -
Forecasting Volatility in Stock Market Using GARCH Models
(University of Kansas, 2008-01-01)Forecasting volatility has held the attention of academics and practitioners all over the world. The objective for this master's thesis is to predict the volatility in stock market by using generalized autoregressive ... -
Homological Invariants of Monomial and Binomial Ideals
(University of Kansas, 2008-08-19)In this dissertation, we study numerical invariants of minimal graded free resolutions of homogeneous ideals in a polynomial ring R. Chapters 2, 3 and 4 deal with homological invariants of edge ideals of bipartite graphs. ... -
Steady-State Poisson-Nernst-Planck Systems: Asymptotic expansions and applications to ion channels
(University of Kansas, 2008-07-31)Important properties of ion channels can be described by a steady state Poisson-Nernst-Plank system for electrodiffusion. The solution to the PNP system gives a relation between the current and electric potential of the ... -
Analytical and Numerical Studies of One-Dimensional Poisson-Nernst-Planck Models for Ion Channels
(University of Kansas, 2008-08-01)We study the event of ion flow through ion channel proteins modeled with a one-dimensional Poisson-Nernst-Planck system in presence of two or three types of ions with permanently charges located inside the channel. A ... -
Some Problems in Stochastic Portfolio Theory
(University of Kansas, 2007-12-11)We consider some problems in the stochastic portfolio theory of equity markets. In the first part, we maximize the expected terminal value of a portfolio of equities. The optimal investment problem is then solved by the ... -
Maximum Queue Length of a Fluid Model with a Gaussian Input
(University of Kansas, 2007-12-11)A fractional Brownian queueing model, that is, a fluid model with an input of a fractional Brownian motion, was proposed in the 1990s to capture the self-similarity and long-range dependence observed in Internet traffic. ... -
Using temporal averaging to decouple annual and nonannual information in AVHRR NDVI time series
(IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC, 2003-11)As regularly spaced time series imagery becomes more prevalent in the remote sensing community, monitoring these data for temporal consistency will become an increasingly important problem. Long-term trends must be identified, ... -
An Exact Line Search method for solving generalized continuous-time algebraic Riccati equations
(IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC, 1998-01)We present a Newton-like method for solving algebraic Riccati equations that uses Exact Line Search to improve the sometimes erratic convergence behavior of Newton's method. It avoids the problem of a disastrously large ... -
A Kiefer-Wolfowitz algorithm with randomized differences
(IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC, 1999-03)A Kiefer-Wolfowitz or simultaneous perturbation algorithm that uses either one-sided or two-sided randomized differences and truncations at randomly varying bounds is given in this paper. At each iteration of the algorithm ... -
The toric h-vectors of partially ordered sets
(AMER MATHEMATICAL SOC, 2000)An explicit formula for the toric h-vector of an Eulerian poset in terms of the cd-index is developed using coalgebra techniques. The same techniques produce a formula in terms of the ag h-vector. For this, another proof ... -
Existence, uniqueness, and parametrization of Lagrangian invariant subspaces
(SIAM PUBLICATIONS, 2002-05-10)The existence, uniqueness, and parametrization of Lagrangian invariant subspaces for Hamiltonian matrices is studied. Necessary and sufficient conditions and a complete parametrization are given. Some necessary and sufficient ... -
On doubly structured matrices and pencils that arise in linear response theory
(ELSEVIER SCIENCE INC, 2004-03-15)We discuss matrix pencils with a double symmetry structure that arise in the Hartree-Fock model in quantum chemistry. We derive anti-triangular condensed forms from which the eigenvalues can be read off. Ideally these would ... -
An SVD-like matrix decomposition and its applications
(ELSEVIER SCIENCE INC, 2003-07-15)A matrix S is an element of C-2m x 2m is symplectic if S J S* = J, where J= [(0)(-Im) (Im)(0)]. Symplectic matrices play an important role in the analysis and numerical solution of matrix problems involving the indefinite ... -
Numerical computation of deflating subspaces of skew-Hamiltonian/Hamiltonian pencils
(SIAM PUBLICATIONS, 2002-07-09)We discuss the numerical solution of structured generalized eigenvalue problems that arise from linear- quadratic optimal control problems, H infinity optimization, multibody systems, and many other areas of applied ... -
Chaos expansion of heat equations with white noise potentials
(KLUWER ACADEMIC PUBL, 2002-02)The asymptotic behavior as t --> infinity of the solution to the following stochastic heat equations [GRAPHICS] is investigated, where w is a space-time white noise or a space white noise. The use of lozenge means that the ... -
General fractional multiparameter white noise theory and stochastic partial differential equations
(MARCEL DEKKER INC, 2004)We present a white noise calculus for d-parameter fractional Brownian motion B-H (x, omega); x is an element of R-d, omega is an element of Omega with general d-dimensional Hurst parameter H = (H-l,..., H-d) is an element ... -
Chaos expansion of local time of fractional Brownian motions
(MARCEL DEKKER INC, 2002-07)We find the chaos expansion of local time l(T)((H))(x, (.)) of fractional Brownian motion with Hurst coefficient H is an element of (0, 1) at a point x is an element of R-d. As an application we show that when H(0)d < 1 ...
