Completions of partial Jordan and Hessenberg matrices

DOI10.1016/0024-3795(94)90406-5zbMath0819.15010OpenAlexW2095508608MaRDI QIDQ1344066

Mark Krupnik, Leiba Rodman

Publication date: 9 February 1995

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

Full work available at URL: https://doi.org/10.1016/0024-3795(94)90406-5

zbMATH Keywords

prescribed eigenvaluesmatrix completionpartial matrixJordan matricesHessenberg matricescompletion algorithmmatrix graph

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Canonical forms, reductions, classification (15A21)

Related Items

Geometric multiplicities of completions of partial triangular matrices ⋮ Jordan structures of strictly lower triangular completions of nilpotent matrices ⋮ Normal forms of generic triangular band matrices and Jordan forms of nilpotent completions ⋮ On the Jordan form of completions of partial upper triangular matrices ⋮ An algorithm for nilpotent completions of partial Jordan matrices ⋮ Matrix sandwich problems

Cites Work

• The change of the Jordan structure of a matrix under small perturbations
• On the eigenvalues of matrices with given upper triangular part
• Semi-stability of sums of partial multiplicities under additive perturbation
• A classification of upper equivalent matrices. The generic case
• Jordan forms of completions of partial upper triangular matrices
• Controllability and completion of partial upper triangular matrices over rings
• Path coverings of graphs and height characteristics of matrices
• Controllability by completions of partial upper triangular matrices
• Minimal rank completions for block matrices
• The relation between the Jordan structure of a matrix and its graph
• Bounds for eigenvalues and singular values of matrix completions
• Inequalities: theory of majorization and its applications

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