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Original Articles

A new notion of equivalence for discrete time AR representations

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Pages 584-597 | Received 01 Oct 2003, Accepted 26 Mar 2004, Published online: 19 Feb 2007

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Agurtzane Amparan, Silvia Marcaida & Ion Zaballa. Parametrizing spectral filters for nonsingular polynomial matrices. Linear and Multilinear Algebra 0:0, pages 1-45.
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Articles from other publishers (10)

S Vologiannidis, E N Antoniou, N P Karampetakis & A I G Vardulakis. (2021) Polynomial matrix equivalences: system transformations and structural invariants. IMA Journal of Mathematical Control and Information 38:1, pages 54-73.
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A. Amparan, S. Marcaida & I. Zaballa. (2021) Spectral filters connecting high order systems. Applied Mathematics and Computation 391, pages 125672.
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Lazaros Moysis & Nicholas P. Karampetakis. (2017) Construction of Algebraic and Difference Equations with a Prescribed Solution Space. International Journal of Applied Mathematics and Computer Science 27:1, pages 19-32.
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A. Amparan, S. Marcaida & I. Zaballa. (2017) On matrix polynomials with the same finite and infinite elementary divisors. Linear Algebra and its Applications 513, pages 1-32.
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A. Amparan, S. Marcaida & I. Zaballa. (2016) On coprime rational function matrices. Linear Algebra and its Applications 507, pages 1-31.
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Lazaros Moysis & Nicholas P. Karampetakis. (2014) On the modeling of discrete time Auto-Regressive representations. On the modeling of discrete time Auto-Regressive representations.
Fernando De Terán, Froilán M. Dopico & D. Steven Mackey. (2014) Spectral equivalence of matrix polynomials and the Index Sum Theorem. Linear Algebra and its Applications 459, pages 264-333.
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Lazaros Moysis & Nicholas P. Karampetakis. (2014) Modeling of discrete time auto-regressive systems with given forward and backward behavior. Modeling of discrete time auto-regressive systems with given forward and backward behavior.
A. I. G. Vardulakis, N. Karampetakis, E. Antoniou & S. Vologiannidis. (2013) Notions of equivalence for linear multivariable systems. Notions of equivalence for linear multivariable systems.
Nikos P. Karampetakis. (2006) An equivalent reduction of a 2-D symmetric polynomial matrix. An equivalent reduction of a 2-D symmetric polynomial matrix.

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