The maximum distance problem and band sequences

DOI10.1016/0024-3795(87)90161-3zbMath0622.15019OpenAlexW2073920616MaRDI QIDQ1090739

Israel Gohberg, Asher Ben-Artzi, Robert L. Ellis, David C. Lay

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0024-3795(87)90161-3

zbMATH Keywords

Hermitian matrixGram-Schmidt processcomplex inner product spacemaximum distance problemmaximum volume problem

Mathematics Subject Classification ID

Quadratic and bilinear forms, inner products (15A63)

Related Items

Nonstationary Szegö theorem, band sequences and maximum entropy ⋮ Schur analysis of some completion problems ⋮ A schur analysis approach to maximum distance problems in hubert space and prediction ⋮ Strictly contractive and positive completions for block matrices ⋮ A Schur analysis approach to minimum distance problems ⋮ On the structure of the maximum entropy extension ⋮ Completion of partial matrices to contractions ⋮ A maximum entropy principle in the general framework of the band method

Cites Work

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• Shift invariant subspaces, factorization, and interpolation for matrices. I. The canonical case
• Extensions of band matrices with band inverses
• Extensions with positive real part. A new version of the abstract band method with applications
• Inverses of Matrices $\{a_{ij}\}$ which Satisfy $a_{ij} = 0$ for $j > i+p$.
• Norm-Preserving Dilations and Their Applications to Optimal Error Bounds