Unified theorems on completions of matrix pencils

DOI10.1016/0024-3795(91)90075-8zbMath0738.15007OpenAlexW1982573295MaRDI QIDQ1180393

Isabel Cabral, Fernando Conceição Silva

Publication date: 27 June 1992

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

Full work available at URL: https://doi.org/10.1016/0024-3795(91)90075-8

zbMATH Keywords

completionsmatrix pencilspolynomial matrixhomogeneous invariant factorsprescribed strict equivalence classprescribed subpencilregular pencils

Mathematics Subject Classification ID

Matrix pencils (15A22)

Related Items (18)

Inertia theorems for pairs of matrices. II. ⋮ Completion of quasi-regular matrix pencils ⋮ Matrices with prescribed submatrices and number of invariant polynomials ⋮ Possible block similarity classes of a matrix with a prescribed nonprincipal submatrix. II ⋮ Fixed rank perturbations of regular matrix pencils ⋮ Pencils with prescribed constant subpencils ⋮ Row or Column Completion of Polynomial Matrices of Given Degree ⋮ Quasi-triangularization of matrix polynomials over arbitrary fields ⋮ Matrix pencils completion problems. II ⋮ Matrix pencils completion problems ⋮ Similarity invariants of completions of submatrices ⋮ The rank distance problem for pairs of matrices and a completion of quasi-regular matrix pencils ⋮ Möbius transformations of matrix polynomials ⋮ Subrepresentations of Kronecker representations. ⋮ Feedback invariants of a pair of matrices with prescribed columns ⋮ Unnamed Item ⋮ Possible block similarity classes of a matrix with a prescribed nonprincipal submatrix ⋮ On the number of invariant polynomials of partially prescribed matrices

Cites Work

• Unnamed Item
• Matrices with prescribed rows and invariant factors
• Interlacing inequalities and control theory
• Interlacing inequalities for regular pencils
• Interlacing inequalities for invariant factors
• Imbedding conditions for \(\lambda\)-matrices
• Matrices with prescribed invariant factors and off-diagonal submatrices
• Eigenvalues of completions of submatrices

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