Shift invariant subspaces, factorization, and interpolation for matrices. I. The canonical case

DOI10.1016/0024-3795(86)90117-5zbMath0596.15011OpenAlexW1974006903MaRDI QIDQ1078282

Israel Gohberg, Joseph A. Ball

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0024-3795(86)90117-5

zbMATH Keywords

Cholesky factorizationQR decompositiontriangular matricesLU decompositionsubspaces of block matrices

Mathematics Subject Classification ID

Factorization of matrices (15A23) Algebraic systems of matrices (15A30) Direct numerical methods for linear systems and matrix inversion (65F05) Linear equations (linear algebraic aspects) (15A06)

Related Items

The maximum distance problem and band sequences ⋮ Hermitian completions of band matrices and applications ⋮ Factorizations of operator matrices ⋮ Rank-preserving extensions of band matrices ⋮ Schur analysis of some completion problems ⋮ A matrix extension problem with entropy optimization ⋮ Strictly contractive and positive completions for block matrices ⋮ Unitary dilation approach to contractive matrix completion. ⋮ A Schur parametrization of non-negative Hermitian and contractive block matrices and the corresponding maximum entropy problems ⋮ On negative eigenvalues of selfadjoint eztensions of band matrices ⋮ On the structure of the maximum entropy extension ⋮ Pairs of shift invariant subspaces of matrices and noncanonical factorization ⋮ Approximation of linear operators in the 2-norm ⋮ A maximum entropy principle in the general framework of the band method

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