Matrix Equations and Tensor Techniques IX (METTIX)

9 Sept 2021, 08:30 → 10 Sept 2021, 19:00 Europe/Rome

Perugia

Bruno Iannazzo

The Matrix Equations and Tensor Techniques IX (METTIX) Workshop has been hosted on Thursday and Friday 09-10 September 2021 in Perugia, Italy, at the Department of Mathematics and Computer Science.

This is the ninth in a series of biennial appointments. As in previous meetings, the focus has been on recent theoretical and computational advances in the solution of tensor problems and linear and nonlinear matrix equations.

The meeting has been held in a hybrid format (virtual and in-person).

In collaboration with:

Important Dates

Deadline for submitting an abstract: August 1, 2021. August 11, 2021.

Deadline for registration: August 1, 2021. August 11, 2021.

Final decision: August 8, 2021. August 18, 2021.

abstract_mettix.tex

Thursday, 9 September

08:30 → 08:50 Other: Registration

08:50 → 09:00 Other: Opening remarks

09:00 → 09:40 From analysis to learning: Tensor-based assessment of latent similarity

Speaker: Dr Lieven De Lathauwer (KU Leuven)

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09:45 → 10:45 Paper blitz: Robol, Palitta, Kuerschner, Uzunca, Singla

09:45 Mixed precision recursive block diagonalization for bivariate functions of matrices

Speaker: Leonardo Robol (University of Pisa)

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09:55 Stein-based preconditioners for weak-constraint 4D-Var

Speaker: Davide Palitta (Alma Mater Studiorum, Università di Bologna)

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10:05 Inexactness in low-rank methods for large matrix equations

Speaker: Patrick Kürschner (Leipzig University of Applied Sciences (HTWK Leipzig))

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10:15 Non-intrusive model order reduction for cross-diffusion systems

Speaker: Prof. Murat Uzunca (Sinop University)

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10:25 A distance formula for tuples of doubly commuting matrices

Speaker: Sushil Singla (Shiv Nadar University)

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10:45 → 11:10 Coffee break

11:10 → 12:50 Talks: De Terán, Ren Cang Li, Addis, Meini, Kirsten

11:10 On the consistency of $X^\top AX=B$ when $B$ is either symmetric or skew

Speaker: Fernando De Terán (Universidad Carlos III de Madrid)

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11:30 Recent Progresses on Highly Entrywise Accurate Methods For Matrix Equations

Speaker: Ren-Cang Li (University of Texas at Arlington)

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11:50 Elementwise accurate doubling algorithm for shifted M-matrix algebraic Riccati equations

Speaker: Elena Addis (università di Perugia)

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12:10 Palindromic linearization and numerical solution of nonsymmetric algebraic T-Riccati equations

Speaker: Beatrice Meini

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12:30 A matrix-oriented POD-DEIM algorithm applied to semilinear differential matrix equations

Speaker: Gerhard Kirsten (University of Bologna)

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12:50 → 14:40 Lunch break

14:40 → 16:20 Talks: Werthmann, Klever, Dinh, Köhler, Cardoso

14:40 Operator-dependent prolongation and restriction for parameter-dependent multigrid methods using low-rank tensor formats

Speaker: Mr Tim A. Werthmann (RWTH Aachen University)

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15:00 Low-rank tensor uniformization for tumor progression modeling

Speaker: Maren Klever (RWTH Aachen University)

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15:20 A predictor-corrector method in quantized tensor train format for the equilibrium of the chemical master equation

Speaker: Ms Trang Dinh

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15:40 A Successive Divide and Conquer Algorithm for the Unilateral Quadratic Matrix Equation

Speaker: Martin Köhler (MPI Magdeburg)

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16:00 Solving the Discrete Euler-Arnold Equations for the Generalized Rigid Body Motion

Speaker: Joao Cardoso (Instituto Politécnico de Coimbra - ISEC)

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16:20 → 16:50 Coffee break

16:50 → 17:50 Paper blitz: Persson, Heiland, Matveev, Curto, Petrov

16:50 Improved variants of the Hutch++ algorithm for trace estimation

Speaker: David Persson (EPFL)

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17:00 Solving large-scale Riccati equations with indefinite quadratic terms

Speaker: Jan Heiland (Max Planck Institute for Dynamics of Complex Technical Systems)

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17:10 Model order reduction and utilization of the reduced basis for aggregation kinetic equations

Speaker: Sergey Matveev (Marchuk INM RAS and Lomonosov MSU)

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17:20 The Extended Aluthge Transform

Speaker: Raul Curto (University of Iowa)

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17:30 Matrix Completion with Sparse Measurement Errors

Speaker: Sergey Petrov (INM RAS)

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19:30 → 21:30 Social dinner

Social dinner at the Ristorante del Sole

Friday, 10 September

09:00 → 09:40 Solving power series matrix equations encountered in stochastic processes by means of fixed point iterations

Speaker: Dario Andrea Bini (Department of Mathematics, University of Pisa)

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09:45 → 10:45 Talks: Moakher, Jeong-Hoon Ju, Kim

09:45 Solution of the matrix equation for geodesics associated with the Riemannian metric on the space of positive-definite matrices based on the power potential

Speaker: Maher Moakher (University of Tunis El Manar)

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10:05 Optimal Constant for Generalized Diagonal Update Method

Speaker: Jeong-Hoon Ju

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(METTIX)Optimal Constant for Generalized Diagonal Update Method.pdf

10:25 On Newton Method for the Minimal Positive Solution of a System of Multi-Variable Nonlinear Matrix Equations

Speaker: Taehyeong Kim

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10:45 → 11:10 Coffee break

11:10 → 12:50 Talks: Dewaele, Evert, Widdershoven, Al Daas, Budzinskiy

11:10 Computing the condition number of tensor decompositions through Tucker compression

Speaker: Nick Dewaele (KU Leuven)

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11:30 A recursive eigenspace computation for the Canonical Polyadic decomposition

Speaker: Eric Evert (KU Leuven)

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11:50 Multiway data regression using a spline-type tensor decomposition

Speaker: Raphaël Widdershoven (Stadius - KU Leuven)

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12:10 Randomized Algorithms for Rounding the Tensor Train Format

Speaker: Hussam Al Daas (STFC, Rutherford Appleton Laboratory)

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12:30 On the number of elements needed for low-rank tensor train completion

Speaker: Stanislav Budzinskiy

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12:50 → 14:40 Lunch break

14:40 → 16:00 Talks: Strossner, Brandoni, Cortinovis, Massei

14:40 Solving PDEs on hypercubes using Chebyshev interpolation

Speaker: Christoph Strössner (EPFL)

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15:00 A Tensor-Train Dictionary Learning algorithm based on spectral proximal alternating linearized minimization

Speaker: Domitilla Brandoni (Università di Bologna)

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15:20 Divide and conquer methods for functions of matrices with banded or hierarchical low-rank structure

Speaker: Alice Cortinovis (EPFL)

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15:40 Hierarchical adaptive low-rank format with applications to discretized PDEs

Speaker: Stefano Massei (Eindhoven University of Technology)

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16:00 → 16:30 Coffee break

16:30 → 17:50 Talks: Frittelli, Cassini, Morozov, Colley

16:30 Matrix-oriented FEM formulation for stationary and time-dependent PDEs on x-normal domains

Speaker: Massimo Frittelli (Università del Salento)

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16:50 A mu-mode integrator for solving evolution equations in Kronecker form

Speaker: Fabio Cassini (University of Trento)

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17:10 Decoupling Dominant Z-eigenvectors of Tensor Kronecker Products

Speaker: Charles Colley (Purdue University)

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17:30 On the low-rank approximations in the Chebyshev norm

Speaker: Stanislav Morozov (Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences)

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17:50 → 18:00 Other: Closing remarks