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.
Results
Showing 1 to 20 of 44 for “"singular values"”.
-
Multivariable feedback design by shaping singular values
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 1982.
-
Aircraft departure resistance prediction using structured singular values
… DP<sub>SSV</sub> is calculated using structured singular values. In this thesis, DP<sub>SSV</sub> is calculated over various flight conditions for a typical high-performance fighter aircraft which is represented by a full six degree of freedom, nonlinear simulation. The results are compared with …
-
Mathematical Modeling and Dynamic Recovery of Power Systems
… system from tangential measurements. The singular values of Loewner matrices guide the discovery of the true order of the underlying system. However, these singular values can exhibit rapid decay when the interpolation points are far from the poles of the system. We establish a range of …
-
The Relative Degree of Controllability of Solar Sails in Artificial Lagrangian Orbits
… sails in artificial Lagrangian orbits using the singular values of the controllability Gramian. The relative degree of controllability is determined by comparing the condition number of the controllability Gramian corresponding to individual ALOs. The finite time controllability Gramian is …
-
On the Tightness of the Balanced Truncation Error Bound with an Application to Arrowhead Systems
… error bound in terms of a system's Hankel singular values. This bound is known to hold with equality under certain conditions, such as when the full-order system is state-space symmetric. In this work, we derive more general conditions in which the balanced truncation error bound holds with …
-
An Iterative Method for Canonical Polyadic Decomposition of Tensors
<p>The Singular Value Decomposition (SVD) of matrices is widely used in least-squares regression, image and data processing, principal component analysis and many other applications. Often only the larger singular values of the matrix are needed to reconstruct the matrix and those below a given …
-
Discrepancy Values and their Applications
… thesis, we introduce the concept of discrepancy values for the square matrices. We prove several properties of such objects, together with their relationship with other operators of matrices, such as singular values. After creating a toolbox of results about the discrepancy values, we proceed by …
-
Distributed Singular Value Decomposition Through Least Squares
Singular value decomposition (SVD) is an essential matrix factorization technique that decomposes a matrix into singular values and corresponding singular vectors that form orthonormal bases. SVD has wide-ranging applications from principal component analysis (PCA) to matrix completion and …
-
Detection, classification and localization of seabed objects with a virtual time reversal mirror
… clutter rejection based upon the analysis of the singular values of the Time Reversal operator is investigated with simulated data and field measurements collected off the coast of Palmaria (Italy) in January 2008.
-
Low-rank estimation and embedding learning: theory and applications
… structure corresponds to the sparsity of the singular values; while for tensors, the low-rank model can be defined as the low-rankness of the unfolding matrices of the tensor. To achieve low-rank solutions, two categories of regularization are imposed. Firstly, the problem of robust tensor …
-
Retrieval of equivalent currents by the use of an integral representation and the extinction theorem --- radome applications
… to reduce the dimensions of the problem. A singular value decomposition is utilized to suppress singular values in the inversion process. A nose-cone radome is diagnosed by recreating the equivalent surface currents on its surface from measured near fields. It is shown how the radome …
-
GDSVD: Scalable k-SVD via Gradient Descent
… provably finds k-SVD, i.e., the k ≥ 1 largest singular values and corresponding vectors, of any matrix, despite nonconvexity. There has been substantial progress towards this in the past few years where existing results are able to establish such guarantees for the exact-parameterized and …
-
Fréchet Sensitivity Analysis and Parameter Estimation in Groundwater Flow Models
… operator by time dependent matrices, where their singular values and singular vectors converge to their infinite dimension peers. This decomposition proves to be very useful as it provides vital information as to which perturbations in the distributed parameters lead to the most significant …
-
Dynamics, Thermodynamic formalism and Perturbations of Transcendental Entire Functions of Finite Singular Type
… functions which have only finitely many singular values. One can think of a function from H as a generalized expanding function from the cosh family. We shall build a version of thermodynamic formalism for functions in H and we shall show among others, the existence and uniqueness of a …
-
Incremental proper orthogonal decomposition for PDE simulation data: Algorithms and analysis
… to bound the error in the incrementally computed singular values and singular vectors. We demonstrate the effectiveness of the algorithm using finite element computations for a 1D Burgers' equation, a 1D FitzHugh-Nagumo PDE system, and a 2D Navier-Stokes problem"--Abstract, page iv.</p>
-
Multiprocessor sparse SVD algorithms and applications
… develop four numerical methods for computing the singular value decomposition (SVD) of large sparse matrices on a multiprocessor architecture. We particularly consider the SVD of unstructured sparse matrices in which the number of rows may be substantially larger or smaller than the number of …
-
On the Use of Uncalibrated Digital Phased Arrays for Blind Signal Separation for Interference Removal in Congested Spectral Bands
… reconstruction by retaining a subset of its singular values. The wideband spectrum is synthesized through a near-perfect polyphase reconstruction filter, and a composite wideband spectrum is obtained from the maximum eigenvector of the resulting covariance matrix.The resulting process is …
-
A Disturbance-Rejection Problem for a 2-D Airfoil Exhibiting Flutter
Flutter suppression is a problem of considerable interest in modern avionics. Flutter is a vibration caused by energy in the airstream being absorbed by a non-rigid wing. Active control is one possible method of suppressing flutter. However, due to unmeasurable aerodynamic-lag states, developing an …
-
Reduced-Order Reference Models for Adaptive Control of Space Structures
… analysis of a balanced model via its Hankel singular values. The plots were then used to analyze the controllability and observability aspects of finite element models of an illustrative system from a modal perspective -- this aided in the identification of computational artifacts in the …
Page 1 of 3