Results 41 to 50 of about 245,161 (291)
, 2008 We present a new algorithm that computes eigenvalues and eigenvectors of a Hermitian positive definite matrix while solving a linear system of equations with Conjugate Gradient (CG).
Andreas Stathopoulos +5 more
core +1 more source
Weighted Spectral Embedding of Graphs [PDF]
, 2018 We present a novel spectral embedding of graphs that incorporates weights assigned to the nodes, quantifying their relative importance. This spectral embedding is based on the first eigenvectors of some properly normalized version of the Laplacian.
Bonald, Thomas +2 more
core +2 more sources
Beyond the Edge: Charge‐Transfer Excitons in Organic Donor‐Acceptor Cocrystals
Advanced Functional Materials, EarlyView.Complex excitonic landscapes in acene–perfluoroacene cocrystals are unveiled by polarization‐resolved optical spectroscopy and many‐body theory. This systematic study of a prototypical model system for weakly interacting donor–acceptor compounds challenges common views of charge‐transfer excitons, providing a refined conceptual framework for ...
Sebastian Anhäuser +6 more
wiley +1 more source
Approximating Eigenvalues of a Class of Perturbed Tridiagonal Systems
MathematicsWe study a class of perturbed tridiagonal problems in the form of a rank-one update of a symmetric tridiagonal Toeplitz matrix. We derive computable formulas for up to eighth-order polynomial approximations or closed formulas for quartic approximation ...
Christos Chorianopoulos +1 more
doaj +1 more source
Eigenvectors of block circulant and alternating circulant matrices [PDF]
, 2005 The eigenvectors and eigenvalues of block circulant matrices had been found for real symmetric matrices with symmetric submatrices, and for block circulant matrices with circulant submatrices. The eigenvectors are now found for general block circulant
Tee, Garry J.
core +1 more source
How can we naturally order and organize graph Laplacian eigenvectors?
, 2018 When attempting to develop wavelet transforms for graphs and networks, some researchers have used graph Laplacian eigenvalues and eigenvectors in place of the frequencies and complex exponentials in the Fourier theory for regular lattices in the ...
Saito, Naoki
core +2 more sources
Advanced Healthcare Materials, EarlyView.Platform system to create biofabricated 3D spinal cord tissue models: Combining high resolution PCL fiber placement, a customized, hyaluronic acid‐based hydrogel, two cell types (spinal cord neurons and astrocytes) together with three distinct laminin isoforms allow the formation of functional cell–cell network interactions.
Nicoletta Murenu +12 more
wiley +1 more source
Practical Assessment of Quartz Crystallographic Preferred Orientation Strength
Tektonika, 2023 The ordering strength of crystallographic preferred orientation data can be assessed in different ways, however, the appropriateness of the methodology used to do so can depend on the geometry of the distributions.
Kyle Larson +3 more
doaj +1 more source
Gapless Superconductivity From Extremely Dilute Magnetic Disorder in 2H‐NbSe2‐xSx
Advanced Materials, EarlyView.We demonstrate that 2H‐NbSe2‐xSx hosts gapless superconductivity at unexpectedly low magnetic impurity concentrations. Combining STM, Bogoliubovde Gennes simulations, DFT, and quasiparticle interference, we comprehensively study the development of gapless behavior and show that SeS substitution reshapes the band structure, enhances nesting, and drives ...
Jose Antonio Moreno +16 more
wiley +1 more source
Rigorous Asymptotic Perturbation Bounds for Hermitian Matrix Eigendecompositions
ComputationIn this paper, we present rigorous asymptotic componentwise perturbation bounds for regular Hermitian indefinite matrix eigendecompositions, obtained via the method of splitting operators.
Mihail Konstantinov +1 more
doaj +1 more source