[图书][B] A Journey through the History of Numerical Linear Algebra

C Brezinski, G Meurant, M Redivo-Zaglia - 2022 - SIAM
A Journey through the History of Numerical Linear Algebra: Back Matter Page 1 Bibliography
[1] A. Abdelfattah, H. Anzt, A. Bouteiller, A. Danalis, JJ Dongarra, M. Gates, A. Haidar, J. Kurzak …

Coalescing eigenvalues and crossing eigencurves of 1-parameter matrix flows

F Uhlig - SIAM Journal on Matrix Analysis and Applications, 2020 - SIAM
We investigate the eigenvalue curves of 1-parameter Hermitian and general complex or real
matrix flows A(t) in light of their geometry and the uniform decomposability of A(t) for all …

[HTML][HTML] Time-varying matrix eigenanalyses via Zhang neural networks and look-ahead finite difference equations

F Uhlig, Y Zhang - Linear Algebra and its Applications, 2019 - Elsevier
This paper adapts look-ahead and backward finite difference formulas to compute future
eigenvectors and eigenvalues of piecewise smooth time-varying symmetric or hermitean …

Zhang neural networks: an introduction to predictive computations for discretized time-varying matrix problems

F Uhlig - Numerische Mathematik, 2024 - Springer
This paper wants to increase our understanding and computational know-how for time-
varying matrix problems and Zhang Neural Networks. These neural networks were invented …

Zhang neural networks for fast and accurate computations of the field of values

F Uhlig - Linear and Multilinear Algebra, 2020 - Taylor & Francis
In this paper, a new and different neural network, called Zhang Neural Network (ZNN) is
appropriated from discrete time-varying matrix problems and applied to the angle parameter …

On the unitary block-decomposability of 1-parameter matrix flows and static matrices

F Uhlig - Numerical Algorithms, 2022 - Springer
For general complex or real 1-parameter matrix flows A (t) n, n and for static matrices A∈ ℂ
n, n alike, this paper considers ways to decompose matrix flows and single matrices globally …

[HTML][HTML] Computing the quadratic numerical range

B Jacob, L Vorberg, C Wyss - Journal of Computational and Applied …, 2025 - Elsevier
A novel algorithm for the computation of the quadratic numerical range is presented and
exemplified yielding much better results in less time compared to the random vector …

[图书][B] Bifurcation Analysis of Fluid Flows

HA Dijkstra, FW Wubs - 2023 - books.google.com
A better understanding of the mechanisms leading a fluid system to exhibit turbulent
behavior is one of the grand challenges of the physical and mathematical sciences. Over the …

Constructing the field of values of decomposable and general matrices using the ZNN based path following method

F Uhlig - Numerical Linear Algebra with Applications, 2023 - Wiley Online Library
This paper describes and develops a fast and accurate path following algorithm that
computes the field of values boundary curve∂ F (A) ∂ F (A) for every conceivable complex …

On the block-decomposability of 1-parameter matrix flows and static matrices

F Uhlig - arXiv preprint arXiv:2006.01215, 2020 - arxiv.org
For general complex or real 1-parameter matrix flows $ A (t) _ {n, n} $ and for time-invariant
static matrices $ A\in\CC_ {n, n} $ alike, this paper considers ways to decompose matrix …