A canonical matrix continued fraction solution of the minimal (partial) realization problem

DOI10.1016/0024-3795(89)90682-4zbMath0683.65027OpenAlexW2090885283MaRDI QIDQ1824986

Marc Van Barel, Adhemar Bultheel

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0024-3795(89)90682-4

zbMATH Keywords

numerical exampleEuclidean algorithmmatrix continued fractioncanonical matrixminimal (partial) realization problem

Mathematics Subject Classification ID

Related Items

The multipoint Padé table and general recurrences for rational interpolation ⋮ Uniqueness properties of minimal partial realizations ⋮ From matrix to vector Padé approximants ⋮ A review of Padé methods for the acceleration of convergence of a sequence of vectors ⋮ Inversion of a block Löwner matrix ⋮ An algorithm for constructing a minimal partial realization in the multivariable case ⋮ Minimal vector Padé approximation ⋮ A least squares approach to reduce stable discrete linear systems preserving their stability. ⋮ Kernel structure of block Hankel and Toeplitz matrices and partial realization ⋮ Minimal partial realization by descriptor systems

Cites Work

• Unnamed Item
• A general module theoretic framework for vector M-Padé and matrix rational interpolation
• On the partial realization problem
• An algebraic method to solve the minimal partial realization problem for scalar sequences
• Fast projection methods for minimal design problems in linear system theory
• The determination of state-space representations for linear multivariable systems
• The Sequential Construction of Minimal Partial Realizations from Finite Input–Output Data
• Nested Bases of Invariants for Minimal Realizations of Finite Matrix Sequences
• On recursiveness and related topics in linear systems
• Input-output invariants for linear multivariable systems
• A new input-output canonical form for multivariable systems
• A minimal realization algorithm for matrix sequences
• Shift-register synthesis and BCH decoding
• A matrix Euclidean algorithm and matrix continued fraction expansions

This page was built for publication: A canonical matrix continued fraction solution of the minimal (partial) realization problem