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Showing 1 to 20 of 502 for “"eigenvalue"”.
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Nonlinear eigenvalue problems
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1998.
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Parallel symmetric eigenvalue problem solvers
<p>Sparse symmetric eigenvalue problems arise in many computational science and engineering applications: in structural mechanics, nanoelectronics, and spectral reordering, for example. Often, the large size of these problems requires the development of eigensolvers that scale well on parallel …
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Eigenvalue statistics for beta-ensembles
… new ensembles, particularly in the areas of eigenvalue statistics. The new models are symmetric tridiagonal, and with entries from real distributions, regardless of the value of β. The entry distributions are either normal or X, so "classical", and the independence pattern is maximal, in the …
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Small signal analysis of power systems: Eigenvalue tracking method and eigenvalue estimation contingency screening for DSA
… this dissertation. The first part presents the eigenvalue tracking method for power system stabilizer (PSS) placement. Traditional methods for determining PSS placements are based on the analysis of the interconnected system. However, the design of the PSS is based on a simplified single machine …
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Graphs, Principal Minors, and Eigenvalue Problems
… graph theory, force-directed layouts, and eigenvalue algorithms. For determinantal point processes (DPPs), we consider the classes of symmetric and signed DPPs, respectively, and in both cases connect the problem of learning the parameters of a DPP to a related matrix recovery problem. …
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Eigenvalue Statistics for Random Block Operators
… term. Thus, it is of interest to understand the eigenvalue statistics for such operators. In this work, we establish a criterion under which certain random block operators will be guaranteed to satisfy Wegner, Minami, and higher-order estimates. This criterion is phrased in terms of properties of …
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Solving an eigenvalue problem in laser simulation
… is presented. This approach is based on an eigenvalue problem for singularly perturbed partial differential operators with complex coefficients; such operators have not been investigated in detail until now. The eigenvalue problem is discretized by finite elements, and convergence of the …
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Eigenvalue Problem for the 1-Laplace Operator
We consider the eigenvalue problem associated to the 1-Laplace operator. We define higher eigensolutions by means of weak slope and establish existence of a sequence of eigensolutions by using nonsmooth critical point theory. In addition, we deduce a new necessary condition for the first eigenvalue …
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Rational Interpolation Methods for Nonlinear Eigenvalue Problems
… the numerical treatment of nonlinear eigenvalue problems. These problems are defined by the condition $T(lambda) v = boldsymbol{0}$, with $T: C to C^{n times n}$, where we seek to compute the scalar-vector pairs, $lambda in C$ and nonzero $ v in C^{n}$. The first contribution of this …
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Homotopy Analysis Method For Nonlinear Ordinary Eigenvalue Problems
… nonlinear initial value problem and a nonlinear eigenvalue problem. We adjust the convergence region of a solution by modifying auxiliary parameter values. The results converge in very few iterations under the proper choice of the values of auxiliary parameters. The approach is shown to be …
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Twisted and intermediate eigenvalue problems in shape optimization
L'abstract è presente nell'allegato / the abstract is in the attachment
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Three methods of the complete eigenvalue-eigenvector problem
Thesis (M.A.)--Boston University
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On Some Schroedinger Eigenvalue Problems From Mathematical Physics
In particular, this implies that the eigenvalues are all positive real for the potentials alphaiz3 + beta z2 + gammaiz when alpha, beta, gamma ∈ R with alpha ≠ 0 and alphagamma ≥ 0, and with the boundary conditions that u(z) decays to zero as z tends to infinity along the positive and …
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On Solving the Large Sparse Generalized Eigenvalue Problem
… for solving the large sparse generalized eigenvalue problem Ax = (lamda)Bx. The matrices A and B are assumed to be symmetric, and haphazardly sparse, with B being positive definite. The problem is treated from a constrained optimization approach and an inverse iteration is developed which …
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Multilevel solution procedures for structural dynamics eigenvalue problems
… that can solve the symmetric generalized eigenvalue problem encountered in structural dynamics. First, the multigrid algorithm for solving linear matrix equations is incorporated into the subspace iteration and block Lanczos methods to produce implicit subspace and Lanczos multigrid …
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Eigenvalue Spacings of Transition Matrices Associated to Directed Graphs
… term in the convergence theorem in terms of the eigenvalues of the transition matrix. This expression reveals that the convergence behaviour is governed not only by the spectral gap but also by the spacings between eigenvalues. Interpreting the transition matrix as describing a random walk on a …
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