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.
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Showing 1 to 20 of 24 for “"matrix representation"”.
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Orthogonal Polynomials On An Arc Of The Unit Circle With Respect To A Generalized Jacobi Weight: A Riemann-Hilbert Method Approach
… the orthogonal polynomials as solutions of a 2X2 matrix Riemann-Hilbert problem, which extends to the unit circle the original Riemann-Hilbert characterization for orthogonal polynomials on the real line, first discovered by Fokas, Its, and Kitaev. In order to extricate the behavior of the …
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A Matrix Approach for Finding Extrema: Problems With Modularity, Hierarchy, and Overlap
… The proposed genetic algorithm design utilizes a matrix representation of an interaction graph to analyze and decompose the problem. The results from this thesis should benefit research both technically and scientifically. Technically, this thesis develops an automated dependency structure matrix …
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Modelling techniques for biological systems
… method of presentation was found to be a matrix format. The matrix representation ensures clarity as to what compounds, processes and react ion terms are to be incorporated and allows easy comparison of different models. In addition, it facilitates transforming the model into a computer …
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Formalisation and execution of Linear Algebra: theorems and algorithms
… on the HOL Multivariate Analysis library, whose matrix representation has been refined to datatypes that admit a representation in functional programming languages. This enables the generation of programs from such verified algorithms. In particular, several well-known Linear Algebra algorithms …
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Focused polynomials, random projections and approximation algorithms for polynomial optimization over the sphere
… projection is at least the stable rank of the matrix representation of this polynomial, its maximum over the sphere is preserved within a constant factor. We then show that the stable rank of matrices representing quadratic focused polynomials is also small, and how some properties of focused …
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Multi-objective constrained optimization for decision making and optimization for system architectures
… 2) how to translate between a graphical representation of systems and a matrix representation of systems, and 3) how to cluster single and multiple Design Structure Matrices (DSM). To solve the first problem, the thesis provides an approach to model decisionmaking problems as …
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A Method for Systematically Generating Tests from Object-Oriented Class Interfaces
… approach described herein generates tests from a matrix representation of a class interface based on the flow graph concept. In this process, separate matrices for all-DU-pairs and all-nodes guide the generation of the required tests. The primary goal of the research is not to optimize the number …
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Developing and applying supertree methods in Phylogenomics and Macroevolution
… with reference to other, well-‐ known SMs like Matrix Representation with Parsimony. Both the ML and Bayesian SM offer multiple attractive advantages over current alternatives.
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Application of the Design Structure Matrix (DSM) to the real estate development process
… systems framework, the Design Structure Matrix (DSM), to model the real estate development (RED) process. The DSM is a process modeling tool that originated recently in the branches of engineering systems and management science, and is primarily used to study product development …
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Variable permittivity dielectric material loaded stepped-horn antenna
… constant material. Generalized scattering matrix representation of the tapered section of the horn antenna is obtained using mode matching technique. The radiating aperture problem is solved by the method of moments, under the assumption that the horn is terminated by an infinite metallic …
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Phylogenomic supertrees: integration of maximal data and assessment of input tree shape.
… significantly more genomic data than their supermatrix counterpart, much of the genome, which has evolved in the light of gene duplication, is not considered in this method. Further to this, typically, in the supertree approach complete genomic data is exclusively used, which can result in a very …
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Variational Modeling of Ionic Polymer-Based Structures
… the variational method produces a second-order matrix representation of the structure. The frequency dependence of the material parameters is incorporated using a complex-property approach similar to the techniques for modeling viscoelastic materials. Three structural models are developed to …
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Essays in econometrics
… potential outcomes, we introduce a transition matrix representation of the potential outcome pair. We show that it can be used to characterize the identified region of the joint distribution for the potential outcomes, which in turn generates the identified region of both the marginal …
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A decentralised graph-based framework for electrical power markets
… systems of linear equations using a proper graph representation are presented. Then, the burden imposed by the handling of rows and columns in its matrix representation when inequality constraints have to be enforced or not is addressed in its graph based model. To this end the model is extended …
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Analyzing the opinion dynamics models discrete & continuous
… over the real line. In chapter 5 we use the matrix representation for the discrete dynamics and we provide some conditions on a chain of stochastic matrices based on their decomposition by permutation matrices such that it can guarantee the convergence of the chain to a consensus matrix. …
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Geometric algebras in physics: Eigenspinors and Dirac theory
… conjugation, C transformations depends on the matrix representation chosen. A representation-independent form would be more fundamental. In CAPS, the complex extension of APS these problems are resolved.
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High-Quality Detection in Heavy-Traffic Avionic Communication System Using Interference Cancellation Techniques
… (signal collisions), from a visual representation to a matrix representation for further statistical analysis. It is found that the statistical Poisson and its cumulative distribution provide the best estimates of multi-user co-channel interference. It is shown, using Monte Carlo …
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The proxy point method for rank-structured matrices
Rank-structured matrix representations, e.g., $\mathcal{H}^2$ and HSS, are commonly used to reduce computation and storage cost for dense matrices defined by interactions between many bodies. The main bottleneck for their application is the expensive computation required to represent a matrix in a …
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Selective excitation of adsorbate vibrations on dissipative surfaces
… within the framework of open-system density matrix theory. Not only potential-mediated, inter-mode coupling poses an obstacle to selective excitation but also the coupling of the adsorbate ("system") modes to the electronic and phononic degrees of freedom of the surface ("bath") does. …
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