Recursive partial realization from the combined sequence of Markov parameters and moments
From MaRDI portal
Publication:1823203
zbMath0679.93010MaRDI QIDQ1823203
Chingwo Ma, Edmond A. Jonckheere
Publication date: 1989
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
LU factorizationtwo-point Padé approximationrecursive structurepartial realizationcontinued-fraction expansionclassical Cauer third formtwo-sided sequence of Markov parameters and moments
Factorization of matrices (15A23) Padé approximation (41A21) Realizations from input-output data (93B15) Continued fractions; complex-analytic aspects (30B70)
Related Items (2)
A least squares approach to reduce stable discrete linear systems preserving their stability. ⋮ Formally biorthogonal polynomials and a look-ahead Levinson algorithm for general Toeplitz systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Certain continued fractions associated with the Padé table
- Expansion of power series into \(P\)-fractions
- Algebraic methods for Toeplitz-like matrices and operators
- On the partial realization problem
- Inversion of Toeplitz operators, Levinson equations, and Gohberg-Krein factorization - a simple and unified approach for the rational case
- Padé techniques for model reduction in linear system theory: a survey
- An algebraic approach to the partial realization problem
- Remarks on the inversion of Hankel matrices
- A new algorithm for solving Toeplitz systems of equations
- Laurent series and their Padé approximations
- Division algorithms for continued fractions and the Padé table
- A simple Hankel interpretation of the Berlekamp-Massey algorithm
- A modified procedure for the realization of the transfer-function matrix from a mixture of Markov parameters and moments
- A highly concurrent algorithm and pipeleined architecture for solving Toeplitz systems
- An algorithm for solving discrete-time Wiener-Hopf equations based upon Euclid's algorithm
- On the Scalar Rational Interpolation Problem
- On recursiveness and related topics in linear systems
- Combined sequence of Markov parameters and moments in linear systems
- Fast solution of toeplitz systems of equations and computation of Padé approximants
- Inverses of Toeplitz Operators, Innovations, and Orthogonal Polynomials
- An Algorithm for the Inversion of Finite Toeplitz Matrices
- Shift-register synthesis and BCH decoding
- Recursive Identification of Linear Systems
- Fast inversion of triangular Toeplitz matrices
This page was built for publication: Recursive partial realization from the combined sequence of Markov parameters and moments