Jordan forms of completions of partial upper triangular matrices

DOI10.1016/0024-3795(92)90295-LzbMath0748.15011MaRDI QIDQ1189631

Tamir Shalom, Leiba Rodman

Publication date: 27 September 1992

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

zbMATH Keywords

majorizationpartial upper triangular matricesnilpotent completionsJordan formscompletions of a matrixnonderogatory completion

Mathematics Subject Classification ID

Canonical forms, reductions, classification (15A21)

Related Items

On the eigenvalues of matrices with prescribed upper triangular part ⋮ Nilpotent completions of partial upper triangular matrices ⋮ Completions of partial Jordan and Hessenberg matrices ⋮ Geometric multiplicities of completions of partial triangular matrices ⋮ On a conjecture about the Jordan form of completions of partial upper triangular matrices ⋮ Jordan structures of upper equivalent matrices ⋮ Jordan structures of strictly lower triangular completions of nilpotent matrices ⋮ On controllability of partially prescribed 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 ⋮ Controllability and completion of partial upper triangular matrices over rings ⋮ On the eigenvalues of matrices with prescribed upper triangular part ⋮ Controllability by completions of partial upper triangular matrices ⋮ Controllability completion problems of partial upper triangular matrices^∗ ⋮ An algorithm for nilpotent completions of partial Jordan matrices ⋮ On the number of invariant polynomials of partially prescribed matrices

Cites Work

• On the eigenvalues of matrices with given upper triangular part
• Matrices with prescribed rows and invariant factors
• Matrices with prescribed eigenvalues and principal submatrices
• Matrices with prescribed characteristic polynomial and principal blocks. II
• Minimal rank completions for block matrices
• Matrices with prescribed invariant factors and off-diagonal submatrices
• Eigenvalues of completions of submatrices
• Inequalities: theory of majorization and its applications
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