Publications related to Logarithm of a matrix

MATHICSE Technical Report : Incremental computation of block triangular matrix exponentials with application to option pricing

Daniel Kressner, Robert Gerhard Jérôme Luce, Francesco Statti

We study the problem of computing the matrix exponential of a block triangular matrix in a peculiar way: Block column by block column, from left to right. The need for such an evaluation scheme arises naturally in the context of option pricing in polynomia ...

MATHICSE2017

Algebraic and topological methods in combinatorics

Adrian Claudiu Valculescu

The present thesis deals with problems arising from discrete mathematics, whose proofs make use of tools from algebraic geometry and topology. The thesis is based on four papers that I have co-authored, three of which have been published in journals, and o ...

EPFL2017

An experimentalist's guide to the matrix element in angle resolved photoemission

Simon Karl Moser

Angle resolved photoemission spectroscopy (ARPES) is commonly known as a powerful probe of the one-electron removal spectral function in ordered solid state. With increasing efficiency of light sources and spectrometers, experiments over a wide range of em ...

Elsevier Science Bv2017

Solar photovoltaic module

Christophe Ballif, Franz-Josef Haug, Philipp Friedrich Hermann Löper, Philippe Wyss, Josua Andreas Stückelberger

In the present invention a new solar photovoltaic module is proposed comprising a solar cell comprising a silicon layer having a first (1 a) surface and a second surface (1a) opposite to said first surface. The solar cell further comprises a passivating la ...

2017

Localization of Sound Sources in a Room with One Microphone

Pierre Vandergheynst, Hervé Lissek, Helena Peic Tukuljac

Estimation of the location of sound sources is usually done using microphone arrays. Such settings provide an environment where we know the difference between the received signals among different microphones in the terms of phase or attenuation, which enab ...

Spie-Int Soc Optical Engineering2017

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

MATHICSE Technical Report : An algorithm for computing minimal Geršgorin sets

Agnieszka Katarzyna Miedlar

The first algorithms for computing the minimal Geršgorn set were developed by Varga et all. in [17] for the use on small and medium size (dense) matrices. Here, we first discuss the existing methods and present a new approach based on the modified Newton’s ...

MATHICSE2015

LSPR Chip for Parallel, Rapid, and Sensitive Detection of Cancer Markers in Serum

Sebastian Maerkl, Jose Luis Garcia Cordero

Label-free biosensing based on metallic nano-particles supporting localized surface plasmon resonances (LSPR) has recently received growing interest (Anker, J. N., et al. Nat. Mater. 2008, 7, 442-453). Besides its competitive sensitivity (Yonzon, C. R., et ...

Amer Chemical Soc2014

Theoretical Analysis of Euclidean Distance Matrix Completion for Ad hoc Microphone Array Calibration

Mohammadjavad Taghizadeh

We consider the problem of ad~hoc microphone array calibration where the distance matrix consisted of all microphones pairwise distances have entries missing corresponding to distances greater than

d_{\text{max}}

. Furthermore, the known entries are noisy ...

Idiap2014

Logarithm of a matrix

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MATHICSE Technical Report : Incremental computation of block triangular matrix exponentials with application to option pricing

Algebraic and topological methods in combinatorics

An experimentalist's guide to the matrix element in angle resolved photoemission

Solar photovoltaic module

Localization of Sound Sources in a Room with One Microphone

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

Distinct Values Of Bilinear Forms On Algebraic Curves

MATHICSE Technical Report : An algorithm for computing minimal Geršgorin sets

LSPR Chip for Parallel, Rapid, and Sensitive Detection of Cancer Markers in Serum

Theoretical Analysis of Euclidean Distance Matrix Completion for Ad hoc Microphone Array Calibration

An experimentalist's guide to the matrix element in angle resolved photoemission

Solar photovoltaic module

Localization of Sound Sources in a Room with One Microphone

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

Theoretical Analysis of Euclidean Distance Matrix Completion for Ad hoc Microphone Array Calibration

MATHICSE Technical Report : An algorithm for computing minimal Geršgorin sets

LSPR Chip for Parallel, Rapid, and Sensitive Detection of Cancer Markers in Serum

MATHICSE Technical Report : Incremental computation of block triangular matrix exponentials with application to option pricing

Algebraic and topological methods in combinatorics

Distinct Values Of Bilinear Forms On Algebraic Curves