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 8 of 8 for “"eigenproblem"”.
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On Vector Sequence Transforms and Acceleration Techniques
… this dissertation based on solving a projected eigenproblem. The results show the projected eigenproblem technique to be superior for certain iterations.</p>
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Optimization Techniques for Trustworthy 3D Object Understanding
… non-convex optimization problem to a nonlinear eigenproblem in the quaternion representation of orientation. We use self-consistent field iteration to efficiently arrive at a local stationary point, finding solutions more than an order of magnitude faster than Gauss-Newton or on-manifold local …
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Two-step Component Mode Synthesis with convergence for the eigensolution of large-degree-of-freedom systems
… The eigenvectors resulting from the initial eigenproblem solution are used to transform the system matrices; this results in a non-linear eigenvalue problem which is solved by a modified shooting method. A perturbation approach is adopted to derive a convergence scheme in which successive …
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Recycling Techniques for Sequences of Linear Systems and Eigenproblems
… solve sequences of linear systems and eigenproblems. Recycling techniques, such as recycling preconditioners or subspaces, are popular approaches for reducing computational cost. In this thesis, we introduce two novel approaches for recycling previously computed information for a …
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Berechnung von Stufenkanten auf der As-bedeckten Si(111)-Oberfläche mit einem parallelisierten ab initio Programm
… states are numerically calculated by solving an eigenproblem for a set of k-points to find the v=1...M eigenstates with the lowest energies. These eigenstates are represented in a basis of plane-waves labeled by G-vectors of the reciprocal lattice. Corresponding to the indices k, v and G of the …
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A language and a system for program optimization
… fast Fourier transform, symmetric eigenproblem, and sparse matrix-vector multiplication through divide and conquer. We implement three strategies using the Locus language to create search spaces to find the best shapes of the base case and the best ways of subdividing the problem. …
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Computing Eigenmodes of Elliptic Operators on Manifolds Using Radial Basis Functions
<p>In this work, a numerical approach based on meshless methods is proposed to obtain eigenmodes of Laplace-Beltrami operator on manifolds, and its performance is compared against existing alternative methods. Radial Basis Function (RBF)-based methods allow one to obtain interpolation and …
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Efficient Finite Element Electromagnetic Analysis for High-Frequency/High-Speed Circuits And Multiconductor Transmission Lines
This dissertation comprises the following four components. (1) Development of a robust and efficient 3-D finite element electromagnetic field solver with high-order vector elements for high-frequency and high-speed circuit simulations. The solver supports wave port and lumped port excitations as …