Essays about: "eigenvalue computation"

Found 5 essays containing the words eigenvalue computation.

  1. 1. Exploring and extending eigensolvers for Toeplitz(-like) matrices : A study of numerical eigenvalue and eigenvector computations combined with matrix-less methods

    University essay from Uppsala universitet/Institutionen för informationsteknologi

    Author : Martin Knebel; Fredrik Cers; Oliver Groth; [2022]
    Keywords : Toeplitz matrices; eigenvalue computation; eigenvector computation; matrix-less methods;

    Abstract : We implement an eigenvalue solving algorithm proposed by Ng and Trench, specialized for Toeplitz(-like) matrices, utilizing root finding in conjunction with an iteratively calculated version of the characteristic polynomial. The solver also yields corresponding eigenvectors as a free bi-product. READ MORE

  3. 2. Computation of Eigenmodes in Three-Dimensional Structures

    University essay from KTH/Skolan för teknikvetenskap (SCI)

    Author : Daniel Lilja; Olof Hummelgren; [2020]
    Keywords : ;

    Abstract : In this thesis the eigenmodes and eigenvalues of three dimensional structures are analyzed using the Python environment FEniCS in combination with an implementation of the Arnoldi method in MATLAB for calculation of eigenpairs. This is done by considering separable solutions of the wave equation and subsequently expressing these as the solutions to an eigenvalue problem. READ MORE

  4. 3. TRAFFIC SIMULATIONS THROUGH ODE-, DDE SYSTEM MODELING AND NUMERICAL COMPUTATIONS

    University essay from KTH/Matematik (Inst.)

    Author : Niklas Carl Simom Kleyer; [2014]
    Keywords : ;

    Abstract : This report is written as a project to conclude the three year bachelor part of a five year degree in engineering and will as such target students finishing their three year bachelor degrees. The main topic of this project is traffic simulation through numerical analysis, with the accompanying subtopics time integration, eigenvalue analysis and computation complexity. READ MORE

  5. 4. A Method for Efficient Flutter Analysis of Systems with Uncertain Modeling Parameters

    University essay from KTH/Optimeringslära och systemteori

    Author : Mikaela Lokatt; [2014]
    Keywords : ;

    Abstract : A method for efficient analysis of variations in utter speed predictions caused by parameter variations in the mass, stiffness and aerodynamic models of a wing structure is presented. The analysis method considers a linear uncertainty formulation and performs a perturbation analysis based on computation of eigenvalue differentials of a nominal system matrix. READ MORE

  6. 5. Parallel Reduction from Block Hessenberg to Hessenberg using MPI

    University essay from Institutionen för datavetenskap

    Author : Viktor Jonsson; [2013]
    Keywords : ;

    Abstract : In many scientific applications, eigenvalues of a matrix have to be computed. By first reducing a matrix from fully dense to Hessenberg form, eigenvalue computations with the QR algorithm become more effcient. READ MORE