Publications related to Normal matrix

MATHICSE Technical Report : On maximum volume submatrices and cross approximation for symmetric semidefinite and diagonally dominant matrices

Daniel Kressner, Stefano Massei, Alice Cortinovis

The problem of finding a

k\times k

submatrix of maximum volume of a matrix A is of interest in a variety of applications. For example, it yields a quasi-best low-rank approximation constructed from the rows and columns of A. We show that such a submatrix ...

MATHICSE2019

Bayesian adaptation of chaos representations using variational inference and sampling on geodesics

Panagiotis Tsilifis

A novel approach is presented for constructing polynomial chaos representations of scalar quantities of interest (QoI) that extends previously developed methods for adaptation in Homogeneous Chaos spaces. In this work, we develop a Bayesian formulation of ...

ROYAL SOC2018

Region Of Interest X-Ray Computed Tomography Via Corrected Back Projection

Michaël Unser, Michael Thompson McCann, Laura Vilaclara

We present a new method for region of interest (ROI) reconstruction from high-resolution, nontruncated data in parallel-ray X-ray computed tomography (CT). Many of the approaches to ROI CT reconstruction in the literature rely on a costly forward projectio ...

IEEE2018

MATHICSE Technical Report : Bounds for the decay of the entries in inverses and Cauchy- Stieltjes functions of sparse, normal matrices

Marcel Schweitzer

It is known that in many functions of banded, and more generally, sparse Hermitian positive definite matrices, the entries exhibit a rapid decay away from the sparsity pattern. This is in particular true for the inverse, and based on results for the invers ...

MATHICSE2017

MATHICSE Technical Report : A reduced basis approach to large-scale pseudospectra computation

Petar Sirkovic

For studying spectral properties of a non-normal matrix A ∈ Cn×n, information about its spectrum σ(A) alone is usually not enough. Effects of perturbations on σ(A) can be studied by computing ε-pseudospectra, that is the level-sets of the resolvent norm fu ...

MATHICSE2016

Fast 3D reconstruction method for differential phase contrast X-ray CT

Michaël Unser, Masih Nilchian, Michael Thompson McCann, Marco Stampanoni

We present a fast algorithm for fully 3D regularized X-ray tomography reconstruction for both traditional and differential phase contrast measurements. In many applications, it is critical to reduce the X-ray dose while producing high-quality reconstructio ...

2016

Low rank differential equations for Hamiltonian matrix nearness problems

Daniel Kressner

For a Hamiltonian matrix with purely imaginary eigenvalues, we aim to determine the nearest Hamiltonian matrix such that some or all eigenvalues leave the imaginary axis. Conversely, for a Hamiltonian matrix with all eigenvalues lying off the imaginary axi ...

Springer Heidelberg2015

Integrable Systems of Neumann Type

Tudor Ratiu

We construct families of integrable systems that interpolate between -dimensional harmonic oscillators and Neumann systems. This is achieved by studying a family of integrable systems generated by the Casimir functions of the Lie algebra of real skew-symme ...

Springer Verlag2015

Parity-Time Symmetric Nonlocal Metamaterials for Focusing and Image Processing

Romain Christophe Rémy Fleury

Parity-Time (PT) symmetry refers to the invariance of a physical system upon reflection of space and time. An intriguing property of PT-symmetric quantum systems is the fact that they can have entirely real eigenvalue spectra, despite being non-Hermitian. ...

2015

Method for determining the walsh-hadamard transform of n samples of a signal and apparatus for performing the same

Martin Vetterli, Robin Scheibler, Saeid Haghighatshoar

A computer-implemented method for determining the Walsh-Hadamard transform of N samples of a signal, comprises electing a plurality of hashing C matrices Σ1, . . . ΣC, computing C hashes of a particular length based at least on a hashing front end and the ...

2015

Normal matrix

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MATHICSE Technical Report : On maximum volume submatrices and cross approximation for symmetric semidefinite and diagonally dominant matrices

Bayesian adaptation of chaos representations using variational inference and sampling on geodesics

Region Of Interest X-Ray Computed Tomography Via Corrected Back Projection

MATHICSE Technical Report : Bounds for the decay of the entries in inverses and Cauchy- Stieltjes functions of sparse, normal matrices

MATHICSE Technical Report : A reduced basis approach to large-scale pseudospectra computation

Fast 3D reconstruction method for differential phase contrast X-ray CT

Low rank differential equations for Hamiltonian matrix nearness problems

Integrable Systems of Neumann Type

Parity-Time Symmetric Nonlocal Metamaterials for Focusing and Image Processing

Method for determining the walsh-hadamard transform of n samples of a signal and apparatus for performing the same

MATHICSE Technical Report : A reduced basis approach to large-scale pseudospectra computation

MATHICSE Technical Report : On maximum volume submatrices and cross approximation for symmetric semidefinite and diagonally dominant matrices

Bayesian adaptation of chaos representations using variational inference and sampling on geodesics

MATHICSE Technical Report : Bounds for the decay of the entries in inverses and Cauchy- Stieltjes functions of sparse, normal matrices

Region Of Interest X-Ray Computed Tomography Via Corrected Back Projection

Low rank differential equations for Hamiltonian matrix nearness problems

Fast 3D reconstruction method for differential phase contrast X-ray CT

Parity-Time Symmetric Nonlocal Metamaterials for Focusing and Image Processing

Method for determining the walsh-hadamard transform of n samples of a signal and apparatus for performing the same

Integrable Systems of Neumann Type