Pairs of shift invariant subspaces of matrices and noncanonical factorization

DOI10.1080/03081088608817741zbMath0625.15009OpenAlexW2067188560MaRDI QIDQ3027152

Israel Gohberg, Joseph A. Ball

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/03081088608817741

zbMATH Keywords

Hermitian formCholesky factorizationsQR-factorizationLU-factorizationsalgebra of block upper triangular matricesinvariant subspaces of matricesshift invariant subspaces of matrix functionsWiener-Hopf factorizations with partial indices

Mathematics Subject Classification ID

Factorization of matrices (15A23) Invariant subspaces of linear operators (47A15) Algebraic systems of matrices (15A30) Vector spaces, linear dependence, rank, lineability (15A03) Canonical forms, reductions, classification (15A21)

Related Items (1)

Normal forms of generic triangular band matrices and Jordan forms of nilpotent completions

Cites Work

• Unnamed Item
• Beurling-Lax representations using classical Lie groups with many applications. II: \(\mathrm{GL}(n,\mathbb C)\) and Wiener-Hopf factorization
• Shift invariant subspaces, factorization, and interpolation for matrices. I. The canonical case
• On some algebraic problems in connection with general eigenvalue algorithms
• Finite dimensional Wiener-Hopf equations and factorizations of matrices
• A commutant lifting theorem for triangular matrices with diverse applications
• Beurling-Lax Representations Using Classical Lie Groups with Many Applications III: Groups Preserving Two Bilinear Forms

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