Results 181 to 190 of about 276,787 (219)

Hydrodynamic Stability Without Eigenvalues

Science, 1993
Fluid flows that are smooth at low speeds become unstable and then turbulent at higher speeds. This phenomenon has traditionally been investigated by linearizing the equations of flow and testing for unstable eigenvalues of the linearized problem, but ...
L. Trefethen, Anne E. Trefethen, S. C. Reddy, T. Driscoll   +3 more
semanticscholar   +1 more source

Combining eigenvalues and variation of eigenvectors for order determination

, 2016
In applying statistical methods such as principal component analysis, canonical correlation analysis, and sufficient dimension reduction, we need to determine how many eigenvectors of a random matrix are important for estimation. This problem is known as
Wei Luo, Bing Li
semanticscholar   +1 more source

Eigenvalues and Eigenvectors

1986
Recall that an n × n matrix B is similar to an n × n matrix A if there is an invertible n × n matrix P such that B = P −1 AP. Our objective now is to determine under what conditions an n × n matrix is similar to a diagonal matrix. In so doing we shall draw together all of the notions that have been previously developed.
T. S. Blyth, Edmund F. Robertson
openaire   +2 more sources

Eigenvalues and condition numbers of random matrices

, 1988
Given a random matrix, what condition number should be expected? This paper presents a proof that for real or complex $n \times n$ matrices with elements from a standard normal distribution, the ex...
A. Edelman
semanticscholar   +1 more source

Inequalities for Graph Eigenvalues

, 2015
Preface 1. Introduction 2. Spectral radius 3. Least eigenvalue 4. Second largest eigenvalue 5. Other eigenvalues of the adjacency matrix 6. Laplacian eigenvalues 7. Signless Laplacian eigenvalues 8. Inequalities for multiple eigenvalues 9.
Z. Stanić
semanticscholar   +1 more source

On symplectic eigenvalues of positive definite matrices

, 2015
If A is a 2n × 2n real positive definite matrix, then there exists a symplectic matrix M such that MTAM=DOOD where D = diag(d1(A), …, dn(A)) is a diagonal matrix with positive diagonal entries, which are called the symplectic eigenvalues of A.
R. Bhatia, Tanvi Jain
semanticscholar   +1 more source

Embedded photonic eigenvalues in 3D nanostructures

, 2014
Subwavelength layered plasmonic nanospheres can be tuned to excite specific scattering resonances with infinite lifetimes.
F. Monticone, A. Alú
semanticscholar   +1 more source

Multisurface proximal support vector machine classification via generalized eigenvalues

IEEE Transactions on Pattern Analysis and Machine Intelligence, 2006
A new approach to support vector machine (SVM) classification is proposed wherein each of two data sets are proximal to one of two distinct planes that are not parallel to each other. Each plane is generated such that it is closest to one of the two data
O. Mangasarian, Edward W. Wild
semanticscholar   +1 more source

The Z‐eigenvalues of a symmetric tensor and its application to spectral hypergraph theory

Numerical Linear Algebra with Applications, 2013
In this paper, using variational analysis and optimization techniques, we examine some fundamental analytic properties of Z‐eigenvalues of a real symmetric tensor with even order.
Guoyin Li, L. Qi, Gaohang Yu
semanticscholar   +1 more source

Model-Based Decomposition of Polarimetric SAR Covariance Matrices Constrained for Nonnegative Eigenvalues

IEEE Transactions on Geoscience and Remote Sensing, 2011
Model-based decomposition of polarimetric radar covariance matrices holds the promise that specific scattering mechanisms can be isolated for further quantitative analysis.
J. V. Zyl, M. Arii, Yunjin Kim
semanticscholar   +1 more source