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Strictly contractive and positive completions for block matrices

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Publication:919438
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DOI10.1016/0024-3795(90)90021-4zbMath0707.15006OpenAlexW2066545547MaRDI QIDQ919438

Hugo J. Woerdeman

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0024-3795(90)90021-4

zbMATH Keywords

positive definite matricesmaximum entropy principleSchur algorithmToeplitz matricesblock matricespositive completionstrictly contractive completion


Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57) Linear transformations, semilinear transformations (15A04)


Related Items

Unitary dilation approach to contractive matrix completion., Completion of Hankel partial contractions of extremal type



Cites Work

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  • Shift invariant subspaces, factorization, and interpolation for matrices. I. The canonical case
  • Contraction of the matrix unit disk
  • The maximum distance problem and band sequences
  • Extensions of band matrices with band inverses
  • Interpolation problems in nest algebras
  • Matrix möbius transformations
  • Norm-Preserving Dilations and Their Applications to Optimal Error Bounds
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