Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 20 of 31 for “"Quadratic Form"”.
-
Model Updating Using a Quadratic Form
… classical model reference, and is closer to the formulation of sensitivity methods. The submatrices allow updating of the stiffness matrix with certain freedom while preserving connectivity. Closed form solution can be achieved through multiple ways; two different approaches, denoted as the …
-
Hydroelectric power optimization using a decomposition procedure for the indefinite quadratic form
… hydropower objective function poses a formidable task in devising a global optimization scheme. A decomposition procedure for the indefinite quadratic form is used to develop an algorithm that will find a near global optimum of a nonlinear hydroelectric power optimization model. The …
-
Quadratic Forms Representing All Integers Coprime to 3
… expanded by Rouse when handling integer-valued quadratic forms representing odd integers, we show that an integer-valued quadratic form representing all positive integers coprime to 3 up to 290 must represent all positive integers coprime to 3. We further this result by enumerating a list of 31 …
-
Strategies For Recycling Krylov Subspace Methods and Bilinear Form Estimation
… components. At first, we target bilinear and quadratic form estimation. Bilinear form $c^TA^{-1}b$ is often associated with long sequences of linear systems, especially in optimization problems. Thus, we devise algorithms that adapt cheap bilinear and quadratic form estimates for Krylov …
-
The ring of invariants of the orthogonal group over finite fields in odd characteristic
… of odd characteristic. Fixing a non-singular quadratic form $\xi_0$ in $S^2(V^*)$, the symmetric square of the dual of V we are concerned with the Orthogonal group $O(\xi_0)$, the subgroup of the General Linear Group $GL(V)$ that fixes $\xi_0$ and with invariants of this group. We have the …
-
Secondary Terms in Asymptotics for the Number of Zeros of Quadratic Forms
<p>Let $F$ be a non-degenerate quadratic form on an $n$-dimensional vector space $V$ over the rational numbers, and let $J$ be the symmetric matrix associated to $F$. One is interested in counting the number of zeros of the quadratic form whose coordinates are restricted in a smoothed box of size …
-
Curves of genus 2 and quadratic forms
… focuses on a special associated integral quadratic form qC, which is intrinsically attached to a curve C of genus 2. This form, known as the refined Humbert invariant, was introduced by Kani (1994). Our first main result is the classification of those imprimitive ternary quadratic forms …
-
Dynamics on homogeneous spaces and applications to simultaneous diophantine approximation
… simultaneous inequalities involving one quadratic form and one linear generalising the Oppenheim conjecture. In the first part we compute an exact lower asymptotic estimate of the number of integral values taken by such pairs, by using uniform distribution of unipotents flows. In the …
-
GOODNESS OF FIT TESTS FOR GENERALIZED LINEAR MIXED MODELS
… tests for GLMMs. Our test statistic is a quadratic form in the differences between observed values and the values expected under the estimated model in cells defined by a partition of the covariate space. We show that this test statistic has an asymptotic chi-squared distribution. We study …
-
Power characteristics of Kramer's method for analysis of variance of a two-way classification with disproportionate subclass numbers
… of Q/X² , where Q is a positive definite quadratic form involving non-central normal variates and X² is an independently distributed chi-square variate. Conditions are given under which the distribution of this ratio reduces to that of non-central F. Kramer’s method for analysis of …
-
Primes of the form X² + nY² in function fields
… p in F_q[x] can be represented in the form X^2+nY^2 with X, Y in F_q[x]. We restrict ourselves to the case where X^2+nY^2 is anisotropic at infinity. As in the classical case over Z, the representability of p by the quadratic form X^2+nY^2 is governed by conditions coming from class …
-
Sparse equalizer filter design for multi-path channels
… (MMSE) equalizers. Next the equalization MSE is formulated as a quadratic function of the equalizer coefficients. Both the Linear Equalizer (LE) and the Decision Feedback Equalizer (DFE) are analyzed. Utilizing the quadratic form, designing a sparse equalizer under a single MSE constraint becomes …
-
STRICT REGULARITY OF POSITIVE DEFINITE TERNARY QUADRATIC FORMS
An integral quadratic form is said to be strictly regular if it primitively represents all integers that are primitively represented by its genus. The goal of this dissertation is to extend the systematic investigation of the positive definite ternary primitive integral quadratic forms and lattices …
-
The impacts of trade and agricultural policies in the Dominican Republic: a sector programming approach
… are included and the model is solved in its quadratic form using the GAMS/MINOS package. A competitive market is assumed where consumer and producer surplus is maximized. Quantities and prices are obtained endogenously. Nominal and Effective Rates of Protection were estimated for selected …
-
Concentração plasmática de N ureico e glicose e excreção de ureia em vacas leiteiras alimentadas com farelo de amendoim em substituição ao farelo de soja da dieta
… mg/dL). The concentration of NUP varied in a quadratic manner as a function of the diets, reaching the maximum value (18.62 mg/dL) at the 58.8% substitution level. Regarding the collection time, the concentration was higher (P<0.05) in time 4h (17.83 mg/dL) than the time 0h (16.58 mg/dL). Urea …
-
Automorphism Groups of Quadratic Modules and Manifolds
… with finite stable rank and unitary groups of quadratic modules over a ring with finite unitary stable rank. In particular, we do not assume the modules and quadratic modules to be well-behaved in any sense: for example, the quadratic form may be singular. This extends results by van der Kallen …
-
Application of Transformations for Orthogonality
… principal component analysis is widely used to form orthogonal variables. Realizing the difficulties of interpreting the principal components, Garthwaite et al. (2012) proposed two transformations, each of which yield surrogates of the original variables. Recently, Garthwaite and Koch (2016) …
-
Non-Abelian Anyons in the Kitaev Honeycomb Model
… on Jordan-Wigner types of fermions which transform Hamiltonian to a fermionic quadratic form. This kind of fermionization procedure is quite general and can be applied to any trivalent spin lattice models. Moreover, we introduce Hartree-Fock-Bogoliubov method to solve general quadratic …
-
Quadratic programming as an extension of linear programming
… Nonlinear Programming is what we came to call "Quadratic Programming". This name is restricted to the specific problem of maximizing or minimizing a quadratic objective function f(X) = CX + X'DX, where CX is a linear form and X'DX a quadratic form, subject to linear constraints. Historically, …
Page 1 of 2