Model order reduction by Krylov subspace methods with global error bounds and automatic choice of parameters

HKF Panzer - 2014 - mediatum.ub.tum.de
The simulation and control of complex technical systems in many fields of application, like
structural mechanics, electrothermics, or acoustics, requires methods for the efficient …

H2 pseudo-optimal model order reduction

T Wolf - 2014 - mediatum.ub.tum.de
The cornerstone of the thesis is to motivate and comprehensively characterise H 2 pseudo-
optimality in the linear model order reduction of large-scale dynamical systems based on …

On the Two-Parameter Matrix Pencil Problem

SK Gungah, FF Alsubaie, IM Jaimoukha - SIAM Journal on Matrix Analysis and …, 2024 - SIAM
The multiparameter matrix pencil problem (MPP) is a generalization of the one-parameter
MPP: Given a set of, complex matrices with, it is required to find all complex scalars, not all …

Globally Optimal SISO H2-Norm Model Reduction Using Walsh's Theorem

S Lagauw, OM Agudelo… - IEEE Control Systems …, 2023 - ieeexplore.ieee.org
We present a novel methodology for single-input single-output (SISO)-norm model reduction
that guarantees global optimality of the obtained solution (s). By exploiting Walsh's theorem …

The (Block) Macaulay Matrix: Solving Systems of Multivariate Polynomial Equations and Multiparameter Eigenvalue Problems

C Vermeersch - 2023 - lirias.kuleuven.be
One of the most pervasive tools from (numerical) linear algebra is, without any doubt, the
standard eigenvalue decomposition. Eigenvalues describe the intrinsic system dynamics of …

Globally optimal H2-norm model reduction: A numerical linear algebra approach

OM Agudelo, C Vermeersch, B De Moor - IFAC-PapersOnLine, 2021 - Elsevier
We show that the H2-norm model reduction problem for single-input/single-output (SISO)
linear time-invariant (LTI) systems is essentially an eigenvalue problem (EP), from which the …

[PDF][PDF] АЛГОРИТМ ИДЕНТИФИКАЦИИ СОСТОЯНИЙ АКТИВНОЙ ЗОНЫ ВВЭР-1000 С ПОМОЩЬЮ МЕТОДА ГЛАВНЫХ КОМПОНЕНТ

Б Джарум, ДА Соловьев, АА Семенов… - Вестник …, 2019 - researchgate.net
Использование большого количества данных для обобщения и анализа является
распространенной практикой. Результаты их обработки позволяют анализировать …