On the Davis-Kahan-Weinberger solution of the norm-preserving dilation problem

DOI10.1007/BF01389634zbMath0565.15010OpenAlexW1997961618MaRDI QIDQ1058571

Jean Meinguet

Publication date: 1986

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133117

zbMATH Keywords

Hilbert spacescontractionsDavis-Kahan-Weinberger solutionfinite-dimensional dilationsnorm-preserving dilation problem

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Dilations, extensions, compressions of linear operators (47A20) Canonical models for contractions and nonselfadjoint linear operators (47A45)

Related Items

Toeplitz matrix techniques and convergence of complex weight Padé approximants, Structured Procrustes problem, Structured mapping problems for linearly structured matrices

Cites Work

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• On a quotient norm and the Sz.-Nagy-Foias lifting theorem
• On Optimal Numerical Solution of Partial Differential Equations
• Norm-Preserving Dilations and Their Applications to Optimal Error Bounds
• Generalized Interpolation in H ∞