Results 41 to 50 of about 197,057 (337)
Differentiable roots, eigenvalues, and eigenvectors
, 2013 We determine the conditions for the existence of $C^p$-roots of curves of monic complex polynomials as well as for the existence of $C^p$-eigenvalues and $C^p$-eigenvectors of curves of normal complex matrices.Comment: 18 pages, some typos corrected ...
Rainer, Armin
core +1 more source
A diffusive matrix model for invariant $\beta$-ensembles [PDF]
, 2012 We define a new diffusive matrix model converging towards the $\beta$-Dyson Brownian motion for all $\beta\in [0,2]$ that provides an explicit construction of $\beta$-ensembles of random matrices that is invariant under the orthogonal/unitary group.
Allez, Romain, Guionnet, Alice
core +2 more sources
Zeeman Spectroscopy of the Star Algebra [PDF]
, 2002 We solve the problem of finding all eigenvalues and eigenvectors of the Neumann matrix of the matter sector of open bosonic string field theory, including the zero modes, and switching on a background B-field. We give the discrete eigenvalues as roots of
B. Feng +16 more
core +2 more sources
MathematicsIn this paper, a Toeplitz construction method based on eigenvalues and eigenvectors is proposed to combine with traditional denoising algorithms, including fractional low-order moment (FLOM), phased fractional low-order moment (PFLOM), and correntropy ...
Junyan Cui, Wei Pan, Haipeng Wang
doaj +1 more source
Spectral Convergence of the connection Laplacian from random samples
, 2015 Spectral methods that are based on eigenvectors and eigenvalues of discrete graph Laplacians, such as Diffusion Maps and Laplacian Eigenmaps are often used for manifold learning and non-linear dimensionality reduction.
Singer, Amit, Wu, Hau-tieng
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Oving Eigenvalues and Eigenvectors [PDF]
, 1971 The Office of Naval Research Department Of The Navy Contract No. N 00014-67-A-0305-0010 ; Project No.
Harris, J.F., Robinson, A.R.
core
The Number of Eigenvalues of a Tensor
, 2010 Eigenvectors of tensors, as studied recently in numerical multilinear algebra, correspond to fixed points of self-maps of a projective space. We determine the number of eigenvectors and eigenvalues of a generic tensor, and we show that the number of ...
Bedford +11 more
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Recycling of Thermoplastics with Machine Learning: A Review
Advanced Functional Materials, EarlyView.This review shows how machine learning is revolutionizing mechanical, chemical, and biological pathways, overcoming traditional challenges and optimizing sorting, efficiency, and quality. It provides a detailed analysis of effective feature engineering strategies and establishes a forward‐looking research agenda for a truly circular thermoplastic ...
Rodrigo Q. Albuquerque +5 more
wiley +1 more source
Twisting singular solutions of Bethe's equations
, 2014 The Bethe equations for the periodic XXX and XXZ spin chains admit singular solutions, for which the corresponding eigenvalues and eigenvectors are ill-defined. We use a twist regularization to derive conditions for such singular solutions to be physical,
Nepomechie, Rafael I., Wang, Chunguang
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Nanoplasmonics Reveal Ionic‐Strength‐Driven Hydration of Nanoparticles
Advanced Functional Materials, EarlyView.Localized surface plasmon resonance (LSPR) of gold nanoparticles (AuNPs) is modulated by ionic‐strength‐dependent hydration shell compression. A predictive model connects shell thickness to non‐radiative damping and spectral shifts over seven orders of magnitude.
Yeeun Song +4 more
wiley +1 more source