Publications related to Jordan normal form

Biobased surfactant

Jeremy Luterbacher, Songlan Sun, Stefania Bertella, Anastasiia Komarova

The present invention relates to a compound of the general formula (I), and (II)wherein one of R11 and R12 is hydrogen and the other is -CH2-R70, and one of R13 and R14 is hydrogen and the other is -CH2-R71, or wherein one of R11 and R12 is hydrogen and th ...

2024

Non-normal forms

Yves-Marie François Ducimetière

In this thesis, we propose to formally derive amplitude equations governing the weakly nonlinear evolution of non-normal dynamical systems, when they respond to harmonic or stochastic forcing, or to an initial condition. This approach reconciles the non-mo ...

EPFL2024

Asymptotic Errors for Teacher-Student Convex Generalized Linear Models (Or: How to Prove Kabashima’s Replica Formula)

Florent Gérard Krzakala, Alia Abbara

There has been a recent surge of interest in the study of asymptotic reconstruction performance in various cases of generalized linear estimation problems in the teacher-student setting, especially for the case of i.i.d standard normal matrices. Here, we g ...

2022

Analytical 1D transfer functions for layered soils

Antonio Joaquin Garcia Suarez

Transfer functions are constantly used in both Seismology and Geotechnical Earthquake Engineering to relate seismic ground motion at different depths within strata. In the context of diffusive theory, they also appear in the expression of the imaginary par ...

ELSEVIER SCI LTD2022

Fast deterministic and randomized algorithms for low-rank approximation, matrix functions, and trace estimation

Alice Cortinovis

In this thesis we propose and analyze algorithms for some numerical linear algebra tasks: finding low-rank approximations of matrices, computing matrix functions, and estimating the trace of matrices.In the first part, we consider algorithms for building l ...

EPFL2022

Iterative refinement of Schur decompositions

Daniel Kressner, Zvonimir Bujanovic

The Schur decomposition of a square matrix A is an important intermediate step of state-of-the-art numerical algorithms for addressing eigenvalue problems, matrix functions, and matrix equations. This work is concerned with the following task: Compute a (m ...

SPRINGER2022

Jordan blocks of unipotent elements in some irreducible representations of classical groups in good characteristic

Mikko Tapani Korhonen

Let

G

be a classical group with natural module

V

over an algebraically closed field of good characteristic. For every unipotent element

u

of

G

, we describe the Jordan block sizes of

u

on the irreducible

G

-modules which occur as compositio ...

2019

Correlations of azimuthal anisotropy Fourier harmonics in pPb collisions at $\sqrt{s_\mathrm{NN}} =$ 8.16 TeV

Jian Wang, Matthias Finger, Lesya Shchutska, Qian Wang, Matthias Wolf, Varun Sharma, Konstantin Androsov, Jan Steggemann, Leonardo Cristella, Xin Chen, Davide Di Croce, Mingkui Wang, Zhirui Xu, João Miguel das Neves Duarte, Tagir Aushev, Tian Cheng, Yixing Chen, Werner Lustermann, Andromachi Tsirou, Alexis Kalogeropoulos, Andrea Rizzi, Ioannis Papadopoulos, Paolo Ronchese, Thomas Muller, Ho Ling Li, Giuseppe Codispoti, Hua Zhang, Siyuan Wang, Peter Hansen, Daniel Gonzalez, Tao Huang, David Vannerom, Michele Bianco, Kun Shi, Wei Shi, Abhisek Datta, Ji Hyun Kim, Donghyun Kim, Dipanwita Dutta, Zheng Wang, Sanjeev Kumar, Wei Li, Yong Yang, Yi Wang, Ajay Kumar, Ashish Sharma, Georgios Anagnostou, Joao Varela, Csaba Hajdu, Muhammad Ahmad, Ekaterina Kuznetsova, Ioannis Evangelou, Matthias Weber, Muhammad Shoaib, Milos Dordevic, Vineet Kumar, Vladimir Petrov, Francesco Fiori, Quentin Python, Meng Xiao, Hao Liu, Sourav Sen, Viktor Khristenko, Marco Trovato, Fan Xia, Xiao Wang, Bibhuprasad Mahakud, Jing Li, Rajat Gupta, Lei Feng, Muhammad Waqas, Hui Wang, Seungkyu Ha, Davide Cieri, Maren Tabea Meinhard, Giorgia Rauco, Ali Harb, Benjamin William Allen, Pratyush Das, Miao Hu, Lei Li

Event-by-event correlations of azimuthal anisotropy Fourier coefficients (

v_n

) in 8.16 TeV pPb collision data, collected by the CMS experiment at the LHC, are extracted using a subevent four-particle cumulant technique. The pseudorapidity range of the CM ...

2019

A reduced basis approach to large-scale pseudospectra computation

Petar Sirkovic

For studying spectral properties of a nonnormal matrix A is an element of Cnxn, information about its spectrum sigma(A) alone is usually not enough. Effects of perturbations on sigma(A) can be studied by computing epsilon-pseudospectra, i.e. the level sets ...

WILEY2019

Stochastic Gradient Descent for Spectral Embedding with Implicit Orthogonality Constraint

Pascal Frossard, Mireille El Gheche, Giovanni Chierchia

In this paper, we propose a scalable algorithm for spectral embedding. The latter is a standard tool for graph clustering. However, its computational bottleneck is the eigendecomposition of the graph Laplacian matrix, which prevents its application to larg ...

IEEE2019

Jordan normal form

Biobased surfactant

Non-normal forms

Asymptotic Errors for Teacher-Student Convex Generalized Linear Models (Or: How to Prove Kabashima’s Replica Formula)

Analytical 1D transfer functions for layered soils

Fast deterministic and randomized algorithms for low-rank approximation, matrix functions, and trace estimation

Iterative refinement of Schur decompositions

Jordan blocks of unipotent elements in some irreducible representations of classical groups in good characteristic

Correlations of azimuthal anisotropy Fourier harmonics in pPb collisions at $\sqrt{s_\mathrm{NN}} =$ 8.16 TeV

A reduced basis approach to large-scale pseudospectra computation

Stochastic Gradient Descent for Spectral Embedding with Implicit Orthogonality Constraint

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Biobased surfactant

Stochastic Gradient Descent for Spectral Embedding with Implicit Orthogonality Constraint

Non-normal forms

Asymptotic Errors for Teacher-Student Convex Generalized Linear Models (Or: How to Prove Kabashima’s Replica Formula)

Jordan blocks of unipotent elements in some irreducible representations of classical groups in good characteristic

Correlations of azimuthal anisotropy Fourier harmonics in pPb collisions at $\sqrt{s_\mathrm{NN}} =$ 8.16 TeV