Exact linear modeling with polynomial coefficients

DOI10.1007/s11045-010-0125-0zbMath1211.35086OpenAlexW2056503095MaRDI QIDQ632162

Kristina Schindelar, Viktor Levandovskyy, Eva Zerz

Publication date: 15 March 2011

Published in: Multidimensional Systems and Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11045-010-0125-0

zbMATH Keywords

multidimensional systemsmost powerful unfalsified modellinear systems with polynomial coefficientspolynomial trajectories

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Rings of differential operators (associative algebraic aspects) (16S32) Systems of linear higher-order PDEs (35G35)

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Uses Software

• SINGULAR

Cites Work

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• The discrete multidimensional MPUM
• Exact linear modeling with polynomial coefficients
• Exact linear modeling using Ore algebras
• From time series to linear system, II. Exact modelling
• Topics in multidimensional linear systems theory
• Applications of Gröbner bases to signal and image processing: a survey
• Multidimensional FIR filter bank design using Grobner bases
• Reed–Solomon List Decoding From a System-Theoretic Perspective
• A behavioral approach to linear exact modeling
• SINGULAR
• Characteristic Frequencies, Polynomial-Exponential Trajectories, and Linear Exact Modeling with Multidimensional Behaviors
• Plural, a Non–commutative Extension of Singular: Past, Present and Future
• Gröbner bases for problem solving in multidimensional systems