Low Rank Perturbation of Kronecker Structures without Full Rank

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Cite
De Terán, Fernando, and Froilán M. Dopico. “Low Rank Perturbation of Kronecker Structures Without Full Rank”. SIAM Journal on Matrix Analysis and Applications, vol. 29, no. 2, 2007, pp. 496-29, https://doi.org/10.1137/060659922.
De Terán, F., & Dopico, F. M. (2007). Low Rank Perturbation of Kronecker Structures without Full Rank. SIAM Journal on Matrix Analysis and Applications, 29(2), 496-529. https://doi.org/10.1137/060659922
De Terán F, Dopico FM. Low Rank Perturbation of Kronecker Structures without Full Rank. SIAM Journal on Matrix Analysis and Applications. 2007;29(2):496-529.
Refrences
Title Journal Journal Categories Citations Publication Date
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  • Technology: Mechanical engineering and machinery
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  • Technology: Engineering (General). Civil engineering (General)
18 2005
Minimal Bases of Rational Vector Spaces, with Applications to Multivariable Linear Systems SIAM Journal on Control 420 1975
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Points of Continuity of the Kronecker Canonical Form SIAM Journal on Matrix Analysis and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
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21 1990
10.4153/CJM-1980-018-9
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
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
On Characteristic Invariants of Matrix Pencils and Linear Relations SIAM Journal on Matrix Analysis and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2023
On the Change of the Weyr Characteristics of Matrix Pencils After Rank-One Perturbations SIAM Journal on Matrix Analysis and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2022
Citations Analysis
The category Science: Mathematics 31 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled First order spectral perturbation theory of square singular matrix pencils and was published in 2008. 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 2020, with 4 citations. It has been cited in 9 different journals, 11% of which are open access. Among related journals, the Linear Algebra and its Applications cited this research the most, with 13 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year