Combinatorics of Column Minimal Indices and Matrix Pencil Completion Problems

DOI10.1137/090747853zbMath1214.15018OpenAlexW2029505887MaRDI QIDQ3079748

Marko Stošić, Marija Dodig

Publication date: 2 March 2011

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/090747853

zbMATH Keywords

completionmatrix pencilsKronecker invariantscolumn minimal indices

Mathematics Subject Classification ID

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

Related Items (17)

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 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 ⋮ 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 ⋮ Rank distance problem for pairs of matrices ⋮ The rank distance problem for pairs of matrices and a completion of quasi-regular matrix pencils ⋮ Descriptor Systems Under Feedback and Output Injection ⋮ Unnamed Item ⋮ Rank One Perturbations of Matrix Pencils ⋮ Double generalized majorization ⋮ Double generalized majorization and diagrammatics

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