Filtering and frequency interpretations of singular spectrum analysis

TJ Harris, H Yuan - Physica D: Nonlinear Phenomena, 2010 - Elsevier
New filtering and spectral interpretations of Singular Spectrum Analysis (SSA) are provided.
It is shown that the variables reconstructed from diagonal averaging of reduced-rank …

On radiuses of convergence of q-metallic numbers and related q-rational numbers

X Ren - Research in Number Theory, 2022 - Springer
The q-rational numbers and the q-irrational numbers were introduced by Morier-Genoud
and Ovsienko. In this paper, we focus on q-real quadratic irrational numbers, especially q …

[HTML][HTML] Tubes in derived categories and cyclotomic factors of the Coxeter polynomial of an algebra

A Mróz, JA de la Peña - Journal of Algebra, 2014 - Elsevier
Let Λ be a k-algebra of finite global dimension. We study tubular families in the Auslander–
Reiten quiver of the bounded derived category D b (Λ) satisfying certain natural axioms. In …

[HTML][HTML] Periodicity in bilinear lattices and the Coxeter formalism

A Mróz, JA de la Peña - Linear Algebra and its Applications, 2016 - Elsevier
We introduce and study in detail so-called circulant (Coxeter-periodic) elements and
circulant families in a bilinear lattice K as well as their dual versions, called anti-circulant. We …

On Symmetries in Analytic Input-Output Systems

WS Gray, EI Verriest - arxiv preprint arxiv:2501.02280, 2025 - arxiv.org
There are many notions of symmetry for state space models. They play a role in
understanding when systems are time reversible, provide a system theoretic interpretation of …

On pasting and reversing operations over some rings

PB Acosta-Humanez, AL Chuquen… - arxiv preprint arxiv …, 2010 - arxiv.org
In this paper we study two operations, Pasting and Reversing, defined from a natural way to
be applied over some rings such as the ring of polynomials and the ring of linear differential …

Semi-involutory matrices and signed self-inverse

GS Cheon, B Curtis, H Kim - Linear Algebra and its Applications, 2021 - Elsevier
In this paper three new classes of matrices that have a computationally simple inverse are
studied. Specifically, semi-involutory matrices are characterized for small orders and many …

Pasting and reversing approach to matrix theory

PB Acosta-Humánez, AL Chuquen - arxiv preprint arxiv:1603.07065, 2016 - arxiv.org
The aim of this paper is to study some aspects of matrix theory through Pasting and
Reversing. We start giving a summary of previous results concerning to Pasting and …

[PDF][PDF] Process analysis and performance assessment for sheet forming processes

H Yuan - 2015 - qspace.library.queensu.ca
Process monitoring and controller performance assessment are essential tools for ensuring
that manufacturing processes operate safely, predictably, meet quality targets and operate …

Pasting and Reversing operations over some vector spaces

P Acosta-Humánez, AL Chuquen… - arxiv preprint arxiv …, 2012 - arxiv.org
Pasting and Reversing operations have been used successfully over the set of integer
numbers, simple permutations, rings and recently over a generalized vector product. In this …