A fast block Hankel solver based on an inversion formula for block Loewner matrices

DOI10.1007/BF02575714zbMath0904.65031MaRDI QIDQ1127943

Peter Kravanja, Marc Van Barel

Publication date: 19 January 1999

Published in: Calcolo (Search for Journal in Brave)

zbMATH Keywords

algorithmcomputational complexitynumerical examplesrational interpolationfast Fourier transformsinversion formulablock Hankel systemblock Loewner system

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Complexity and performance of numerical algorithms (65Y20) Direct numerical methods for linear systems and matrix inversion (65F05) Software, source code, etc. for problems pertaining to linear algebra (15-04)

Related Items (5)

A superfast method for solving Toeplitz linear least squares problems. ⋮ A stabilized superfast solver for indefinite Hankel systems ⋮ A fast block Hankel solver based on an inversion formula for block Loewner matrices ⋮ Modification of Rissanen's method in linear memory ⋮ A fast Hankel solver based on an inversion formula for Loewner matrices

Uses Software

• LAPACK
• CLAPACK

Cites Work

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• Transformation techniques for Toeplitz and Toeplitz-plus-Hankel matrices. I: Transformations
• A general module theoretic framework for vector M-Padé and matrix rational interpolation
• Hankel and Loewner matrices
• A fast block Hankel solver based on an inversion formula for block Loewner matrices
• Transformation techniques for Toeplitz and Toeplitz-plus-Hankel matrices. II: Algorithms
• Über monotone Matrixfunktionen
• Inversion of a block Löwner matrix
• High performance algorithms for Toeplitz and block Toeplitz matrices
• Displacement Structure: Theory and Applications
• Fast Gaussian Elimination with Partial Pivoting for Matrices with Displacement Structure

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