Concept
Quotient de Rayleigh
Publications associées (21)
A mixed precision LOBPCG algorithm
Daniel Kressner, Meiyue Shao, Yuxin Ma
The locally optimal block preconditioned conjugate gradient (LOBPCG) algorithm is a popular approach for computing a few smallest eigenvalues and the corresponding eigenvectors of a large Hermitian positive definite matrix A. In this work, we propose a mix ...
SPRINGER2023Emergent non-Hermitian localization phenomena in the synthetic space of zero-dimensional bosonic systems
Phase transitions in non-Hermitian systems are at the focus of cutting edge theoretical and experimental research. On the one hand, parity-time- (PT-) and anti-PT-symmetric physics have gained ever-growing interest, due to the existence of non-Hermitian sp ...
AMER PHYSICAL SOC2023Exceptional points at bound states in the continuum in photonic integrated circuits
We propose the realization of exceptional points (EP) at bound states in the continuum (BIC), with two coupled strips, made of an electron-beam resist and patterned on the thin film photonic integrated platform, which makes possible etchless photonics inte ...
WALTER DE GRUYTER GMBH2022When Slepian Meets Fiedler: Putting a Focus on the Graph Spectrum
Dimitri Nestor Alice Van De Ville, Maria Giulia Preti, Robin Jonathan Demesmaeker
The study of complex systems greatly benefits from graph models and their analysis. In particular, the eigendecomposition of the graph Laplacian lets emerge properties of global organization from local interactions; e.g., the Fiedler vector has the smalles ...
Institute of Electrical and Electronics Engineers2017On Convergence Of The Maximum Block Improvement Method
The MBI (maximum block improvement) method is a greedy approach to solving optimization problems where the decision variables can be grouped into a finite number of blocks. Assuming that optimizing over one block of variables while fixing all others is rel ...
Siam Publications2015