Interlacing inequalities for regular pencils

DOI10.1016/0024-3795(89)90720-9zbMath0678.15012OpenAlexW2042282229MaRDI QIDQ1123950

Itziar Baragaña

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0024-3795(89)90720-9

zbMATH Keywords

normal formregular pencilpolynomial matrixinterlacing inequalitiescharacteristic matricesinvariant homogeneous factors

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrices over function rings in one or more variables (15A54) Canonical forms, reductions, classification (15A21)

Related Items (17)

Completion of quasi-regular matrix pencils ⋮ Completion of matrix pencils with a single rank restriction ⋮ Singular systems, state feedback problem ⋮ Unnamed Item ⋮ Combinatorics of polynomial chains ⋮ Pencils with prescribed constant subpencils ⋮ Row or Column Completion of Polynomial Matrices of Given Degree ⋮ Matrix pencils completion problems. II ⋮ The General Matrix Pencil Completion Problem: A Minimal Case ⋮ Unified theorems on completions of matrix pencils ⋮ Matrix pencils completion problems ⋮ Similarity invariants of completions of submatrices ⋮ Subrepresentations of Kronecker representations. ⋮ Feedback invariants of a pair of matrices with prescribed columns ⋮ Unnamed Item ⋮ Similarity class of a matrix with a prescribed submatrix ⋮ Assigning the Kronecker invariants of a matrix pencil by row or column completions

Cites Work

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• Minimax and interlacing theorems for matrices
• Interlacing inequalities for invariant factors
• The structure of nonsingular polynomial matrices
• Matrices of rational functions

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