Strongly minimal self-conjugate linearizations for polynomial and rational matrices

FM Dopico, MC Quintana, PV Dooren - SIAM Journal on Matrix Analysis and …, 2022 - SIAM
We prove that we can always construct strongly minimal linearizations of an arbitrary rational
matrix from its Laurent expansion around the point at infinity, which happens to be the case …

[HTML][HTML] On minimal bases and indices of rational matrices and their linearizations

A Amparan, FM Dopico, S Marcaida, I Zaballa - Linear Algebra and its …, 2021 - Elsevier
A complete theory of the relationship between the minimal bases and indices of rational
matrices and those of their strong linearizations is presented. Such theory is based on …

Block full rank linearizations of rational matrices

FM Dopico, S Marcaida, MC Quintana… - Linear and Multilinear …, 2023 - Taylor & Francis
We introduce a new family of linearizations of rational matrices, which we call block full rank
linearizations. The theory of block full rank linearizations is useful as it establishes very …

Unified framework for Fiedler-like strong linearizations of polynomial and rational matrices

RK Das, HK Pillai - arXiv preprint arXiv:2305.12533, 2023 - arxiv.org
Linearization is a widely used method for solving polynomial eigenvalue problems (PEPs)
and rational eigenvalue problem (REPs) in which the PEP/REP is transformed to a …

[HTML][HTML] Linearizations of rational matrices

MCQ Ponce - 2021 - dialnet.unirioja.es
The main objects of study in this PhD thesis are rational matrices. A rational matrix R (z) is a
matrix whose entries are quotients of polynomials in the scalar variable z, ie, rational …

[PDF][PDF] Image binarization method for the detection of markers in bad lighting conditions

M Ćurković, A Ćurković… - Programme 7 Invited Talks … - applmath.math.pmf.unizg.hr
3D scanning technology has become indispensable in many fields of science and industry.
Structured light scanning systems use markers for coupling multiple scans into one and for …