An algebraic method to solve the minimal partial realization problem for scalar sequences

DOI10.1016/0024-3795(88)90312-6zbMath0651.15011OpenAlexW2115391265MaRDI QIDQ1106292

Adhemar Bultheel, Marc Van Barel

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)90312-6

zbMATH Keywords

Padé approximationsrational approximationsinfinite Hankel matrixminimal partial realization problem

Mathematics Subject Classification ID

Factorization of matrices (15A23) Padé approximation (41A21)

Related Items (6)

Partial realization of symmetric matrix rational functions ⋮ On the problem of stable rational interpolation ⋮ Matrix Padé approximation: Definitions and properties ⋮ A directional partial realization problem ⋮ A canonical matrix continued fraction solution of the minimal (partial) realization problem ⋮ Extending the notions of companion and infinite companion to matrix polynomials

Cites Work

• On the partial realization problem
• Padé techniques for model reduction in linear system theory: a survey
• Hankel matrices and the infinite companion
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