Publications related to Matrix (mathematics)

Optimal acoustic rake receiver

Martin Vetterli, Ivan Dokmanic, Robin Scheibler

An acoustic processing method for M acoustic receivers comprising the steps of: Determining a beamforming weight vector with M weights for the M acoustic receivers based on at least one the steering vector of at least one real acoustic source, on steering ...

2016

Assessment Of The Dispersion Quality Of Refractive Index-Matched Nanodispersions

Véronique Michaud

Dispersion quality has a large influence on the resulting properties of filled polymers, hybrids and nanocomposites in general. Reducing the van der Waals forces and therefore, matching the refractive index between the filler and the matrix should improve ...

Kerschensteiner Verlag Gmbh2016

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

Daniel Kressner, Ana Susnjara

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

MATHICSE Technical Report : Fast computation of the matrix exponential for a Toeplitz matrix

Daniel Kressner, Robert Gerhard Jérôme Luce

The computation of the matrix exponential is a ubiquitous operation in numerical mathematics, and for a general, unstructured n×n matrix it can be computed in O(n3) operations. An interesting problem arises if the input matrix is a Toeplitz matrix, for exa ...

MATHICSE2016

Distinct Values Of Bilinear Forms On Algebraic Curves

Frank de Zeeuw, Adrian Claudiu Valculescu

Let B-M : C x C -> C be a bilinear form B-M(p, q) - p(T)Mq, with an invertible matrix M is an element of C-2x2. We prove that any finite set S contained in an irreducible algebraic curve C of degree d in C determines Omega(d)(vertical bar S vertical bar(4/ ...

Univ Calgary, Dept Math & Statistics2016

Low-Rank Matrices on Graphs: Generalized Recovery & Applications

Pierre Vandergheynst, Nathanaël Perraudin, Nauman Shahid

Many real world datasets subsume a linear or non-linear low-rank structure in a very low-dimensional space. Unfortunately, one often has very little or no information about the geometry of the space, resulting in a highly under-determined recovery problem. ...

2016

Representer Theorems for Sparsity-Promoting $ ℓ _{ 1 } $ Regularization

Michaël Unser, Julien René Pierre Fageot, Harshit Gupta

We present a theoretical analysis and comparison of the effect of

ℓ _{ 1 }

versus

ℓ _{ 2 }

regularization for the resolution of ill-posed linear inverse and/or compressed sensing problems. Our formulation covers the most general setting where the s ...

IEEE2016

Effect of Ca addition on interface formation in Al(Ca)/Al2O3 composites prepared by gas pressure assisted infiltration

Ludger Weber

The aim of the work is to study interface formation between Al2O3 particles and Al(Ca) matrix in dependence of Ca content. Aluminium matrix composites (AMC) subjected to investigation were prepared by gas pressure assisted infiltration of alumina beds with ...

Elsevier Sci Ltd2016

On the Continuous Steering of the Scale of Tight Wavelet Frames

Michaël Unser, Daniel Sage, Zsuzsanna Püspöki, John Paul Ward

In analogy with steerable wavelets, we present a general construction of adaptable tight wavelet frames, with an emphasis on scaling operations. In particular, the derived wavelets can be "dilated" by a procedure comparable to the operation of steering ste ...

SIAM2016

Clustering of heterogeneous networks with directional flows based on “Snake” similarities

Nikolaos Geroliminis, Mohammadreza Saeedmanesh

Aggregated network level modeling and control of traffic in urban networks have recently gained a lot of interest due to unpredictability of travel behaviors and high complexity of physical modeling in microscopic level. Recent research has shown the exist ...

Elsevier2016

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Optimal acoustic rake receiver

Assessment Of The Dispersion Quality Of Refractive Index-Matched Nanodispersions

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

MATHICSE Technical Report : Fast computation of the matrix exponential for a Toeplitz matrix

Distinct Values Of Bilinear Forms On Algebraic Curves

Low-Rank Matrices on Graphs: Generalized Recovery & Applications

Representer Theorems for Sparsity-Promoting $ ℓ _{ 1 } $ Regularization

Effect of Ca addition on interface formation in Al(Ca)/Al2O3 composites prepared by gas pressure assisted infiltration

On the Continuous Steering of the Scale of Tight Wavelet Frames

Clustering of heterogeneous networks with directional flows based on “Snake” similarities

On the Continuous Steering of the Scale of Tight Wavelet Frames

MATHICSE Technical Report : Fast computation of the matrix exponential for a Toeplitz matrix

Assessment Of The Dispersion Quality Of Refractive Index-Matched Nanodispersions

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

Representer Theorems for Sparsity-Promoting $ ℓ _{ 1 } $ Regularization

Effect of Ca addition on interface formation in Al(Ca)/Al2O3 composites prepared by gas pressure assisted infiltration

Low-Rank Matrices on Graphs: Generalized Recovery & Applications

Distinct Values Of Bilinear Forms On Algebraic Curves

Clustering of heterogeneous networks with directional flows based on “Snake” similarities

Optimal acoustic rake receiver