On the distance to singularity via low rank perturbations

Article Properties
Cite
Mehl, Christian, et al. “On the Distance to Singularity via Low Rank Perturbations”. Operators and Matrices, no. 4, 2015, pp. 733-72, https://doi.org/10.7153/oam-09-44.
Mehl, C., Mehrmann, V., & Wojtylak, M. (2015). On the distance to singularity via low rank perturbations. Operators and Matrices, 4, 733-772. https://doi.org/10.7153/oam-09-44
Mehl, Christian, Volker Mehrmann, and Michał Wojtylak. “On the Distance to Singularity via Low Rank Perturbations”. Operators and Matrices, no. 4 (2015): 733-72. https://doi.org/10.7153/oam-09-44.
Mehl C, Mehrmann V, Wojtylak M. On the distance to singularity via low rank perturbations. Operators and Matrices. 2015;(4):733-72.
Journal Category
Science
Mathematics
Citations
Title Journal Journal Categories Citations Publication Date
Bounded rank perturbations of a regular matrix pencil Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2024
Nearest rank deficient matrix polynomials Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2023
Bounded rank perturbations of matrix pencils without nontrivial invariant factors Linear and Multilinear Algebra
  • Science: Mathematics
 2023
Bounded Rank Perturbations of Quasi-Regular Pencils Over Arbitrary Fields SIAM Journal on Matrix Analysis and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2023
Estimation of Structured Distances to Singularity for Matrix Pencils with Symmetry Structures: A Linear Algebra--Based Approach SIAM Journal on Matrix Analysis and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2022
Citations Analysis
Category Category Repetition
Science: Mathematics19
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods17
The category Science: Mathematics 19 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled On the parametric eigenvalue behavior of matrix pencils under rank one perturbations and was published in 2016. The most recent citation comes from a 2024 study titled Bounded rank perturbations of a regular matrix pencil. This article reached its peak citation in 2017, with 6 citations. It has been cited in 7 different journals. Among related journals, the SIAM Journal on Matrix Analysis and Applications cited this research the most, with 9 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year