Similarity class of a matrix with a prescribed submatrix

DOI10.1080/03081080801987726zbMath1165.15010OpenAlexW2053586803MaRDI QIDQ3625586

Marko Stošić, Marija Dodig

Publication date: 5 May 2009

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

Full work available at URL: https://doi.org/10.1080/03081080801987726

zbMATH Keywords

inverse problemLittlewood-Richardson coefficientlocalizationmatrix pencilsmatrix completionsprescribed submatrix

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Inverse problems in linear algebra (15A29) Canonical forms, reductions, classification (15A21) Matrix pencils (15A22)

Related Items (15)

Completion of quasi-regular matrix pencils ⋮ A new approach to square matrix completion problem ⋮ Completion of matrix pencils with a single rank restriction ⋮ Unnamed Item ⋮ Explicit solution of the row completion problem for matrix pencils ⋮ Minimal completion problem for quasi-regular matrix pencils ⋮ Combinatorics of polynomial chains ⋮ Bounded rank perturbations of a regular matrix pencil ⋮ Pencils with prescribed constant subpencils ⋮ Row or Column Completion of Polynomial Matrices of Given Degree ⋮ The General Matrix Pencil Completion Problem: A Minimal Case ⋮ The rank distance problem for pairs of matrices and a completion of quasi-regular matrix pencils ⋮ Feedback invariants of series connected systems ⋮ Descriptor Systems Under Feedback and Output Injection ⋮ Unnamed Item

Cites Work

• Matrices with prescribed rows and invariant factors
• Interlacing inequalities for regular pencils
• Similarity invariants of completions of submatrices
• Interlacing inequalities for invariant factors
• Imbedding conditions for \(\lambda\)-matrices
• Stable bundles, representation theory and Hermitian operators
• Feedback invariants via output injection
• Existenzsätze in der Theorie der Matrizen und lineare Kontrolltheorie
• Singular values and invariant factors of matrix sums and products
• Matrix pencils completion problems
• Matrices with prescribed characteristic polynomial and a prescribed submatrix. III
• Matrix realizations of littlewood—richardson sequences
• Eigenvalues of completions of submatrices
• The honeycomb model of $GL_n(\mathbb C)$ tensor products I: Proof of the saturation conjecture
• Group characters and algebra
• Eigenvalues, invariant factors, highest weights, and Schubert calculus

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