Completion up to a matrix pencil with column minimal indices as the only nontrivial Kronecker invariants

DOI10.1016/j.laa.2012.12.040zbMath1269.15029OpenAlexW2071298123MaRDI QIDQ1947081

Marija Dodig

Publication date: 12 April 2013

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2012.12.040

zbMATH Keywords

partitionsmatrix pencilKronecker invariantscompletion problem

Mathematics Subject Classification ID

Matrix pencils (15A22) Matrix completion problems (15A83)

Related Items (16)

Completion of quasi-regular matrix pencils ⋮ Completion of matrix pencils with a single rank restriction ⋮ Unnamed Item ⋮ Minimal completion problem for quasi-regular matrix pencils ⋮ Bounded rank perturbations of regular pencils over arbitrary fields ⋮ Row or Column Completion of Polynomial Matrices of Given Degree ⋮ Bounded Rank Perturbations of Quasi-Regular Pencils Over Arbitrary Fields ⋮ Rank-one perturbations of matrix pencils ⋮ Pencils with prescribed constant subpencils over arbitrary fields ⋮ On the combinatorics of extensions of preinjective Kronecker modules. ⋮ The General Matrix Pencil Completion Problem: A Minimal Case ⋮ A short solution to the subpencil problem involving only column minimal indices ⋮ The rank distance problem for pairs of matrices and a completion of quasi-regular matrix pencils ⋮ Unnamed Item ⋮ Rank One Perturbations of Matrix Pencils ⋮ Double generalized majorization

Cites Work

• Unnamed Item
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• Matrices with prescribed rows and invariant factors
• Interlacing inequalities and control theory
• Embedding a regular subpencil into a general linear pencil
• Interlacing inequalities for invariant factors
• Imbedding conditions for \(\lambda\)-matrices
• Assigning the Kronecker invariants of a matrix pencil by row or column completions
• Matrix pencils completion problems
• Feedback invariants of matrices with prescribed rows
• Matrices with prescribed characteristic polynomial and a prescribed submatrix. III
• Combinatorics of Column Minimal Indices and Matrix Pencil Completion Problems
• Column completion of a pair of matrices
• Matrices with prescribed characteristic polynomial and principal blocks
• Matrices with Prescribed Entries and Eigenvalues. II
• On properties of the generalized majorization

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