Publications related to Logarithm of a matrix

Rational Krylov for Stieltjes matrix functions: convergence and pole selection

Evaluating the action of a matrix function on a vector, that is

x=f(\mathcal M)v

, is an ubiquitous task in applications. When

\mathcal M

is large, one usually relies on Krylov projection methods. In this paper, we provide effective choices for the pole ...

2019

Method of displaying an image on a see-through display

Sabine Süsstrunk, Adrien Birbaumer, Martinus Bosch

The present invention concerns a method of displaying an image on a see-through display. The method comprises: obtaining (101) a first electromagnetic radiation matrix of an object, the first matrix comprising first matrix elements representing radiation i ...

2019

Daylighting simulation for external Venetian blinds based on HDR sky luminance monitoring with matrix algebraic approach

Jean-Louis Scartezzini, Jérôme Henri Kämpf, Yujie Wu

An accurate daylighting simulation can potentially improve the quality of pre-planing buildings and regulating daylighting to achieve the goal of green buildings. However, standard sky models can hardly reproduce real skies in real-time for a specific loca ...

Elsevier2019

Daylighting simulation for external Venetian blinds based on HDR sky luminance monitoring with matrix algebraic approach

Jean-Louis Scartezzini, Jérôme Henri Kämpf, Yujie Wu

An accurate daylighting simulation can potentially improve the quality of pre-planing buildings and regulating daylighting to achieve the goal of green buildings. However, standard sky models can hardly reproduce real skies in real-time for a specific loca ...

2019

MATHICSE Technical Report: Block Krylov subspace methods for functions of matrices II: Modified block FOM

Kathryn Dianne Lund

We analyze an expansion of the generalized block Krylov subspace framework of [Electron.\ Trans.\ Numer.\ Anal., 47 (2017), pp. 100-126]. This expansion allows the use of low-rank modifications of the matrix projected onto the block Krylov subspace and con ...

MATHICSE2019

Unlabeled Sensing with Random Linear Measurements

Martin Vetterli, Jayakrishnan Unnikrishnan, Saeid Haghighatshoar

We study the problem of solving a linear sensing system when the observations are unlabeled. Specifically we seek a solution to a linear system of equations y = Ax when the order of the observations in the vector y is unknown. Focusing on the setting in wh ...

Institute of Electrical and Electronics Engineers2018

Fast multiscale reconstruction for Cryo-EM

Michaël Unser, Laurène Donati, Masih Nilchian

We present a multiscale reconstruction framework for single-particle analysis (SPA). The representation of three-dimensional (3D) objects with scaled basis functions permits the reconstruction of volumes at any desired scale in the real-space. This multisc ...

2018

The Mutual Information in Random Linear Estimation Beyond i.i.d. Matrices

Nicolas Macris, Florent Gérard Krzakala, Jean François Emmanuel Barbier

There has been definite progress recently in proving the variational single-letter formula given by the heuristic replica method for various estimation problems. In particular, the replica formula for the mutual information in the case of noisy linear esti ...

IEEE2018

On multivariate trace inequalities of Sutter, Berta, and Tomamichel

Marius Christopher Lemm

We consider a family of multivariate trace inequalities recently derived by Sutter, Berta, and Tomamichel. These inequalities generalize the Golden-Thompson inequality and Lieb’s triple matrix inequality to an arbitrary number of matrices in a way that fea ...

2018

MATHICSE Technical Report : Quasi-Toeplitz matrix arithmetic : a Matlab toolbox

Stefano Massei

A Quasi Toeplitz (QT) matrix is a semi-infinite matrix of the kind

A = T(a) + E

where

T(a) = (aj-i)_{i,j\in \mathbb{Z}_{+}}

,

E = (e_{i,j})_{i,j\in\mathbb{Z}_{+}}

is compact and the norms

\| a\|_{\mathcal{W}} =\sum_{i\in\mathbb{Z}} |a|_j

and $|E|_{ ...

MATHICSE2018

Logarithm of a matrix

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Rational Krylov for Stieltjes matrix functions: convergence and pole selection

Method of displaying an image on a see-through display

Daylighting simulation for external Venetian blinds based on HDR sky luminance monitoring with matrix algebraic approach

Daylighting simulation for external Venetian blinds based on HDR sky luminance monitoring with matrix algebraic approach

MATHICSE Technical Report: Block Krylov subspace methods for functions of matrices II: Modified block FOM

Unlabeled Sensing with Random Linear Measurements

Fast multiscale reconstruction for Cryo-EM

The Mutual Information in Random Linear Estimation Beyond i.i.d. Matrices

On multivariate trace inequalities of Sutter, Berta, and Tomamichel

MATHICSE Technical Report : Quasi-Toeplitz matrix arithmetic : a Matlab toolbox

On multivariate trace inequalities of Sutter, Berta, and Tomamichel

Rational Krylov for Stieltjes matrix functions: convergence and pole selection

MATHICSE Technical Report: Block Krylov subspace methods for functions of matrices II: Modified block FOM

Daylighting simulation for external Venetian blinds based on HDR sky luminance monitoring with matrix algebraic approach

Unlabeled Sensing with Random Linear Measurements

Method of displaying an image on a see-through display

Fast multiscale reconstruction for Cryo-EM

The Mutual Information in Random Linear Estimation Beyond i.i.d. Matrices

Daylighting simulation for external Venetian blinds based on HDR sky luminance monitoring with matrix algebraic approach

MATHICSE Technical Report : Quasi-Toeplitz matrix arithmetic : a Matlab toolbox