Publications related to Band matrix

MATHICSE Technical Report : Fast computation of spectral projectors of banded matrices

We consider the approximate computation of spectral projectors for symmetric banded matrices. While this problem has received considerable attention, especially in the context of linear scaling electronic structure methods, the presence of small relative s ...

MATHICSE2016

Accelerated Spectral Clustering Using Graph Filtering of Random Signals

Pierre Vandergheynst, Rémi Gribonval, Gilles Puy, Nicolas Tremblay

We build upon recent advances in graph signal processing to propose a faster spectral clustering algorithm. Indeed, classical spectral clustering is based on the computation of the first

k

eigenvectors of the similarity matrix' Laplacian, whose computati ...

Ieee2016

ALS Scheme using Extent-based Constraints for the Analysis of Chemical Reaction Systems

Dominique Bonvin, Julien Léo Billeter, Michael Amrhein

Multivariate curve resolution via alternating least squares (ALS) is used to resolve the concentration profiles C and the pure component spectra E of S species from the multivariate absorbance data A, assuming the bilinear model ...

2016

Convex block-sparse linear regression with expanders - provably

Volkan Cevher, Quoc Tran Dinh, Anastasios Kyrillidis, Luca Baldassarre, Bubacarr Bah

Sparse matrices are favorable objects in machine learning and optimization. When such matrices are used, in place of dense ones, the overall complexity requirements in optimization can be significantly reduced in practice, both in terms of space and run-ti ...

2016

Effect of hydrostatic pressure on flow and deformation in highly reinforced particulate composites

Andreas Mortensen, Ludger Weber, Maria Gabriella Tarantino

Infiltrated particle reinforced composites combine a dense matrix with particles that are in mutual contact and can therefore transfer compressive stress directly from one particle to the next. As a result, these composites may combine characteristics of t ...

Elsevier2016

Nonadiabatic dynamics with intersystem crossings: A time-dependent density functional theory implementation

Ivano Tavernelli

In this work, we derive a method to perform trajectory-based nonadiabatic dynamics that is able to describe both nonadiabatic transitions and intersystem crossing events (transitions between states of different spin-multiplicity) at the same level of theor ...

Amer Inst Physics2015

Evaluating functions of positive-definite matrices using colored-noise thermostats

Michele Ceriotti, Michele Parrinello

Many applications in computational science require computing the elements of a function of a large matrix. A commonly used approach is based on the the evaluation of the eigenvalue decomposition, a task that, in general, involves a computing time that scal ...

Amer Physical Soc2014

The local Callan-Symanzik equation: structure and applications

Riccardo Rattazzi, Boaz Keren Zur, Lorenzo Vitale, Florent Baume

The local Callan-Symanzik equation describes the response of a quantum field theory to local scale transformations in the presence of background sources. The consistency conditions associated with this anomalous equation imply non-trivial relations among t ...

Springer2014

MR Image Reconstruction from Generalized Projections

Daniel Gallichan

Purpose: Currently, the time required for image reconstruction is prohibitively long if data are acquired using multidimensional imaging trajectories that make use of multichannel systems equipped with nonlinear gradients. Methods are presented that reduce ...

Wiley-Blackwell2014

Impact of tunneling anisotropy on the conductivity of nanorod dispersions

Claudio Grimaldi, Biagio Nigro

While the tunneling conductance between two spherical-like conducting particles depends on the relative interparticle distance, the wave function overlap between states of two rodlike particles, and so the tunneling conductance, depends also on the relativ ...

American Physical Society2014

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MATHICSE Technical Report : Fast computation of spectral projectors of banded matrices

Accelerated Spectral Clustering Using Graph Filtering of Random Signals

ALS Scheme using Extent-based Constraints for the Analysis of Chemical Reaction Systems

Convex block-sparse linear regression with expanders - provably

Effect of hydrostatic pressure on flow and deformation in highly reinforced particulate composites

Nonadiabatic dynamics with intersystem crossings: A time-dependent density functional theory implementation

Evaluating functions of positive-definite matrices using colored-noise thermostats

The local Callan-Symanzik equation: structure and applications

MR Image Reconstruction from Generalized Projections

Impact of tunneling anisotropy on the conductivity of nanorod dispersions

Impact of tunneling anisotropy on the conductivity of nanorod dispersions

MATHICSE Technical Report : Fast computation of spectral projectors of banded matrices

MR Image Reconstruction from Generalized Projections

The local Callan-Symanzik equation: structure and applications

Nonadiabatic dynamics with intersystem crossings: A time-dependent density functional theory implementation

Accelerated Spectral Clustering Using Graph Filtering of Random Signals

ALS Scheme using Extent-based Constraints for the Analysis of Chemical Reaction Systems

Effect of hydrostatic pressure on flow and deformation in highly reinforced particulate composites

Convex block-sparse linear regression with expanders - provably

Evaluating functions of positive-definite matrices using colored-noise thermostats