Inversion of a block Löwner matrix

DOI10.1016/0377-0427(95)00037-2zbMath0861.15003OpenAlexW2047240091MaRDI QIDQ1919482

Zdeněk Vavřín, Marc Van Barel

Publication date: 13 October 1996

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(95)00037-2

zbMATH Keywords

inversion formulaToeplitz-like operatorsblock Löwner matrixmatrix continued fraction representationsmatrix rational and tangential interpolationsmethod of UV-reduction

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Approximation by rational functions (41A20) Interpolation in approximation theory (41A05) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items

Lagrange's formula for tangential interpolation with application to structured matrices ⋮ A stabilized superfast solver for indefinite Hankel systems ⋮ A fast block Hankel solver based on an inversion formula for block Loewner matrices ⋮ Rational interpolation and recursive solution of Löwner-Vandermonde systems of equations ⋮ A fast Hankel solver based on an inversion formula for Loewner matrices ⋮ Inversion of a generalized block Loewner matrix, the minimal partial realization, and matrix rational interpolation problem ⋮ Inversion formulas and fast algorithms for Löwner-Vandermonde matrices

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