Results 251 to 260 of about 10,868,924 (291)
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Eigenvalue Problem Approach to Discrete Minimization
2005The problem of finding of the deepest local minimum of a quadratic functional of binary variables is discussed. Our approach is based on the asynchronous neural dynamics and utilizes the eigenvalues and eigenvectors of the connection matrix. We discuss the role of the largest eigenvalues.
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A Laboratory Approach to an Eigenvalue Problem
American Journal of Physics, 1968An experiment is described that requires a minimum amount of equipment usually found in the undergraduate physics laboratory. The experiment is designed to serve as an introduction to eigenfrequencies. It consists of two equal lengths of different-density thin wires joined and held horizontally under a known tension.
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Calculation of the micromaser spectrum. II. Eigenvalue approach
Physical Review A, 1993We calculate the micromaser spectrum via the eigenvalues and eigenvectors of the master equation. We show that (i) it is not always the lowest eigenvalue which governs the linewidth and (ii) the oscillations in the linewidth originate from an interplay between two eigenvalues.
, Vogel, , Schleich, , Scully, , Walther
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Fast adaptive eigenvalue decomposition: a maximum likelihood approach
Signal Processing, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chonavel, Thierry +2 more
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A Generalized Eigenvalue Approach for Solving Riccati Equations
SIAM Journal on Scientific and Statistical Computing, 1981A numerically stable algorithm is derived to compute orthonormal bases for any deflating subspace of a regular pencil $\lambda B - A$. The method is based on an update of the $QZ$-algorithm, in order to obtain any desired ordering of eigenvalues in the quasitriangular forms constructed by this algorithm.
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Fast adaptive eigenvalue decomposition: a maximum likelihood approach
1997 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2002A new adaptive subspace estimation algorithm is presented, based on the maximisation of the likelihood functional. It requires little computational cost and the particular structure of the algorithm ensures the orthonormality of the estimated basis of eigenvectors. Application to moving sources localization shows the very good behavior of the algorithm
Riou, Christian, Chonavel, Thierry
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Neurodynamic Approach for Generalized Eigenvalue Problems
2006 International Conference on Computational Intelligence and Security, 2006This paper presents a novel neurodynamic approach for solving generalized eigenvalue problems. A series of neurodynamic systems are proposed for finding all eigenvectors to a given pair (A, B) of matrices. Dynamical analysis shows that each system is globally convergent to an exact eigenvector of the pair (A, B) and hence all the eigenvectors can be ...
Quanju Zhang, Fuye Feng, Fuxian Liu
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On the Rutishauser’s Approach to Eigenvalue Problems
1994We consider the quotient-difference algorithm of H. Rutishauser from the point of view of the realization theory of rational functions. QR-like algorithms of the linear algebra can be thought of as discrete-time dynamical systems on certain classes of matrices.
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SIAM Journal on Control and Optimization, 2010
This two-part paper is concerned with stability analysis of linear systems subject to parameter variations, of which linear time-invariant delay systems are of particular interest. We seek to characterize the asymptotic behavior of the characteristic zeros of such systems.
Jie Chen 0005 +3 more
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This two-part paper is concerned with stability analysis of linear systems subject to parameter variations, of which linear time-invariant delay systems are of particular interest. We seek to characterize the asymptotic behavior of the characteristic zeros of such systems.
Jie Chen 0005 +3 more
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The Deferred Approach to the Limit for Eigenvalues of Integral Equations
SIAM Journal on Numerical Analysis, 1971We investigate the validity of the process of deferred approach to the limit in the approximation of eigenvalues and eigenfunctions of integral equations, and we indicate the practical significance of the theory which we develop.
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