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 64 for “"diagonalization"”.
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Exact Diagonalization Studies of Strongly Correlated Systems
In this dissertation, we use exact diagonalization to study a few strongly correlated systems, ranging from the Fermi-Hubbard model to the fractional quantum Hall effect (FQHE). The discussion starts with an overview of strongly correlated systems and what is meant by strongly correlated. Then, we …
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Application of advanced diagonalization methods to quantum spin systems.
… used in studies of quantum spin systems is exact diagonalization. In this approach, numerical methods are used to find the lowest eigenvalues and associated eigenvectors of the Hamilton matrix of the quantum system. The computational problem is thus to determine the lowest eigenpairs of an …
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Exact diagonalization study of strongly correlated topological quantum states
… strong interaction. This thesis uses the exact diagonalization method to investigate quantum lattice models with strong interaction. Our research topics revolve around quantum phase transitions between novel phases. The goal is to find the best schemes for realizing these novel phases in …
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Diagonalization of 1-D Schrodinger Operators with Piecewise Constant Potentials
<p>In today's world our lives are very layered. My research is meant to adapt current inefficient numerical methods to more accurately model the complex situations we encounter. This project focuses on a specific equation that is used to model sound speed in the ocean. As depth increases, the sound …
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Finite-State Genericity : on the Diagonalization Strength of Finite Automata
Algorithmische Generizit¨atskonzepte spielen eine wichtige Rolle in der Berechenbarkeitsund Komplexit¨atstheorie. Diese Begriffe stehen in engem Zusammenhang mit grundlegenden Diagonalisierungstechniken, und sie wurden zur Erzielung starker Trennungen von Komplexit¨atsklassen verwendet. Da f¨ur …
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Conjugate gradient density matrix search: A linear scaling alternative to diagonalization
… These advances leave the ${\cal O}(N\sp3)$ diagonalization bottleneck as the rate determining step for very large systems. In this work, a conjugate gradient density matrix search (CG-DMS) method has been successfully extended and computationally implemented for use with first principles …
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Rapid Implicit Diagonalization of Variable-Coefficient Differential Operators Using the Uncertainty Principle
<p>We propose to create a new numerical method for a class of time-dependent PDEs (second-order, one space dimension, Dirichlet boundary conditions) that can be used to obtain more accurate and reliable solutions than traditional methods. Previously, it was shown that conventional time-stepping …
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Blind source separation based on joint diagonalization of matrices with applications in biomedical signal processing
… we study the latter method of approximate joint diagonalization (AJD) to achieve a solution of the BSS problem. After an introduction to the general setting, the thesis provides an overview on particular choices for the set of target matrices that can be used for BSS by joint diagonalization. As …
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Fast Solvers for Models of Fluid Flow with Spectral Elements
… based on Domain Decomposition and the Fast Diagonalization Method that can be applied to tensor product based discretizations of the steady convection-diffusion and the linearized Navier-Stokes equations. The method is based on iterative substructuring where fast diagonalization is used to …
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Interpretation of shear wave birefringence in P to S converted waves data using the propagator matrix method
… zone, assuming plane wave propagation allows its diagonalization by pure rotations. This matrix diagonalization ends up with an estimation of the natural eigen directions of the medium when the range of offset angles does not exceed 35*. The proposed method is validated with synthetic RVSP data …
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Álgebra linear: uma aplicação à Genética.
… properties, Linear Transformations, Matrices Diagonalization, Eigenvalues, Eigenvectors and have an intuitive understanding of limits for so approach the application of the said content linked to genetics.
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Fast algorithm and surface integral equations for two-dimensional materials modeling
… (2D) fast multipole algorithm (FMA) with a novel diagonalization form is presented. The conventional diagonalization of 2D FMA can be derived based on the interpretation of Parseval's theorem. The performance of FMA in the twilight zone (between the low-frequency and high-frequency regimes) is not …
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Contributions to statistical learning and its applications in personalized medicine
… of the estimator, we developed a simultaneous diagonalization tool for two positive definite operators: the kernel operator and the operator defined by the second Frechet derivative of the expected data t functional. By using the proposed simultaneous diagonalization tool sharper bounds on the …
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Dynamic instability of composite laminated plates
… are obtained using a method of simultaneous diagonalization. Boundary frequencies generated using a first subdeterminant approximation to the infinite determinant are compared with those obtained by using the more accurate second subdeterminant as well as with frequencies from an analytical …
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Hyperfine structure and hyperfine transitions of helium-3
… the theory of hyperfine structure. An exact diagonalization provides a comprehensive interpretation of the results across the complete range of hyperfine coupling strengths of 3He. The theoretical investigation shows that suppression of the hyperfine transitions is caused mainly by strong …
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Interaction between vortices and impurities in a d-wave superconductor /
… properties of BSCCO. By direct numerical diagonalization of the lattice BogoliubovDe Gennes Hamiltonian for different positions of the impurity, we can calculate the interaction between the vortex and the impurity in a d-wave superconductor.
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A Dynamic Correlation Model for Pricing Credit Derivatives in A Lattice Framework
… on a two-dimensional lattice and a block-diagonalization algorithm is utilized during the computation. With the highly flexible choices of hazard structures, the proposed dynamic correlation model is capable of capturing unpredictable systematic risks observed in the crisis situation when …
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An Examination into the Statistics of the Singular Vectors for the Multi-User MIMO Wireless Channel
… that approaches the sum capacity known as block-diagonalization. Analyzed is actual data collected in several indoor and outdoor experiments performed using newly constructed measurement hardware that extends the capabilities of an existing MIMO measurement system.</p>
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Development Of Theoretical And Computational Methods For Few-body Processes In Ultracold Quantum Gases
… resonances. The method uses a novel two-step diagonalization approach to solve the three-body Schrödinger equation. The approach employs the SVD method of Tolstikhin et al. coupled with a complex absorbing potential. We tested this method on a model system of three identical bosons with …
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A computational electromagnetic framework for waveguide quantum electrodynamics
… system are also found using a method of direct diagonalization of operators. The physics and essential features of the dressed states are related to the DGF. The dynamics of the system are solved in connection with the resolvent formalism of quantum scattering theory. The work presented here …
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