Laurent polynomial

Known as: Laurent polynomials 
In mathematics, a Laurent polynomial (namedafter Pierre Alphonse Laurent) in one variable over a field is a linear combination of positive and… (More)
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2012
2012
In the context of multivariate signal processing, factorizations involving so-called para-unitary matrices are relevant as well… (More)
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2010
2010
In recent years, the so-called polynomial moment problem, motivated by the classical Poincaré center-focus problem, was… (More)
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2006
2006
Recently Dritschel proves that any positive multivariate Laurent polynomial can be factorized into a sum of square magnitudes of… (More)
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2005
2005
Let R be a ring with an automorphism σ. An ideal I of R is σ-ideal of R if σ(I) = I. A proper ideal P of R is σ-prime ideal of R… (More)
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2003
2003
Let R be a noetherian P.I. ring and S an automorphism of R. Necessary and sufficient conditions for the primitivity of the skew… (More)
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2003
2003
of f over K, the integral of f with respect to the Haar measure, normalized so that R K dk = 1. In the canonical decomposition of… (More)
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1999
1999
We develop a basic theory of Gröbner bases for ideals in the algebra of Laurent polynomials (and, more generally, in its monomial… (More)
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1997
1997
  • Eva Zerz
  • European Control Conference (ECC)
  • 1997
Different characterizations of primeness of Laurent polynomial matrices that are mutually equivalent in the case of univariate… (More)
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1997
1997
We analyse the performance of five numerical methods for factoring a Laurent polynomial, which is positive on the unit circle, as… (More)
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1996
1996
Let P and Q be nr, r n matrices with Laurent polynomial entries. Suppose that Q T (z)P (z) = I r , z 2 Cnf0g. This note provides… (More)
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