Results 31 to 40 of about 2,737 (182)
Theory of Supercritical Coupling and Generalized Bound States in the Continuum
Laser &Photonics Reviews, EarlyView.We develop a general theory of supercritical coupling and generalized bound states in the continuum (gBICs), revealing how interference between radiative and absorptive channels enables quality factors beyond conventional material‐loss limits. The framework unifies non‐Hermitian mode coupling, causality‐driven reactive interactions, and interference ...
Sergio Balestrieri +3 more
wiley +1 more source
Four‐Dimensional pp‐Wave Lie Groups and Harmonic Curvature
Mathematische Nachrichten, EarlyView.ABSTRACT We determine all four‐dimensional Lie groups which have harmonic curvature. In parallel, a description of four‐dimensional pp‐wave Lie groups is obtained.
E. García‐Río +2 more
wiley +1 more source
, 2023 We present verification methods to compute error bounds for all eigenvectors of a Hermitian matrix as well as for all singular vectors of a rectangular real or complex matrix. In case of clusters these are bounds for an orthonormal basis of the invariant
Rump, Siegfried M., Lange, Marko
core
The distortion tensor of magnetotellurics: a tutorial on some properties [PDF]
, 2016 A 2×2 matrix is introduced which relates the electric field at an observing site where geological distortion applies to the regional electric field, which is unaffected by the distortion. For the student of linear algebra this matrix provides a practical
Lilley, F. E. M.
core +1 more source
Exploring Asymptotic Normality in Multinomial Models
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Among the methods for analyzing categorical outcomes, the multinomial model offers a robust framework for examining the dependence between a multi‐category response variable and a set of explanatory variables. Its flexibility, versatility, and broad applicability across diverse fields make it a valuable tool, as it does not impose strict ...
Célia Nunes +3 more
wiley +1 more source
Sharp error bounds for approximate eigenvalues and singular values from subspace methods
Subspace methods are commonly used for finding approximate eigenvalues and singular values of large-scale matrices. Once a subspace is found, the Rayleigh–Ritz method (for symmetric eigenvalue problems) and Petrov–Galerkin projection (for singular values)
Haas , Irina-Beatrice, Nakatsukasa, Yuji
core +1 more source
Refined iterative algorithms based on Arnoldi's process for large unsymmetric eigenproblems
, 1997 Arnoldi's method has been popular for computing the small number of selected eigenvalues and the associated eigenvectors of large unsymmetric matrices.
Zhongxiao Jia, Jia, Zhongxiao
core +1 more source
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose This study revisits the tetrahedral encoding strategy originally proposed to accelerate Diffusion Tensor Magnetic Resonance Imaging (DT‐MRI) by reducing the requisite number of diffusion‐weighted measurements to four. We examine its practical limitations and explore how artificial intelligence (AI) can extend its utility. Specifically,
Joshua Mawuli Ametepe +4 more
wiley +1 more source
Fault Detection of Electric Motors via Symmetrized Dot Pattern‐Based Features
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT This study proposes a novel symmetrized dot pattern (SDP) approach using designed SDP‐based features, extracted from transformed vibration signals, for fault detection. These features describe the compactness, inclination, and shape of the “snowflake” diagram distributions.
Mario Spirto +6 more
wiley +1 more source
Computable eigenvalue bounds for rank-k perturbations
, 2010 We investigate lower bounds for the eigenvalues of perturbations of matrices. In the footsteps of Weyl and Ipsen & Nadler, we develop approximating matrices whose eigenvalues are lower bounds for the eigenvalues of the perturbed matrix.
Brandts, J.H. +3 more
core +1 more source