An extension problem for H-unitary matrices with applications to Hermitian Toeplitz matrices

DOI10.1016/0024-3795(88)90189-9zbMath0679.15025OpenAlexW2000035645MaRDI QIDQ1124657

Thomas Kilian Huckle, Roland W. Freund

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0024-3795(88)90189-9

zbMATH Keywords

extension problemHermitian Toeplitz matricesH-unitary matrixHermitian linear operatorsspaces with inner products

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57) Dilations, extensions, compressions of linear operators (47A20)

Related Items (1)

A restricted signature normal form for Hermitian matrices, quasi-spectral decompositions, and applications

Cites Work

• Operatortheoretische Behandlung und Verallgemeinerung eines Problemkreises in der komplexen Funktionentheorie
• Matrices and indefinite scalar products
• Extensions of J-isometric and J-symmetric operators
• An analysis of the HR algorithm for computing the eigenvalues of a matrix
• Eigenvalues of Ax=lambdaBx for real symmetric matrices A and B computed by reduction to a pseudosymmetric form and the HR process
• Moment problems and low rank Toeplitz approximations
• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• Über einige Fortsetzungsprobleme, die eng mit der Theorie hermitescher Operatoren im RaumeIIx zusammenhängen. I. Einige Funktionenklassen und ihre Darstellungen
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