Explicit solution of the row completion problem for matrix pencils

DOI10.1016/J.LAA.2009.10.039zbMath1191.15020OpenAlexW2067564105MaRDI QIDQ847217

Marija Dodig

Publication date: 12 February 2010

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.10.039

zbMATH Keywords

completionmatrix pencilsKronecker invariants

Mathematics Subject Classification ID

Canonical forms, reductions, classification (15A21) Matrix pencils (15A22) Matrix completion problems (15A83)

Related Items (15)

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 ⋮ Completion up to a matrix pencil with column minimal indices as the only nontrivial Kronecker invariants ⋮ Pencils with prescribed constant subpencils over arbitrary fields ⋮ The General Matrix Pencil Completion Problem: A Minimal Case ⋮ A short solution to the subpencil problem involving only column minimal indices ⋮ Rank distance problem for pairs of matrices ⋮ The rank distance problem for pairs of matrices and a completion of quasi-regular matrix pencils ⋮ Unnamed Item ⋮ Rank One Perturbations of Matrix Pencils

Cites Work

• Unnamed Item
• Matrix pencils completion problems. II
• On convexity of polynomial paths and generalized majorizations
• Assigning the Kronecker invariants of a matrix pencil by row or column completions
• Matrix pencils completion problems
• Similarity class of a matrix with a prescribed submatrix

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