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  • Polynomials with quaternionic coefficients located on only one side of the powers (we call them simple polynomials) may have two different types of zeros: isolated and spherical zeros. We will give a characterization of these types. In the two-sided polynomials the coefficients are located at both sides of the powers. We will show that in this case there are, in addition, three more classes of zeros defined by the rank of a certain real 4x4 matrix.
  • Polynomials with quaternionic coefficients located on only one side of the powers (we call them simple polynomials) may have two different types of zeros: isolated and spherical zeros. We will give a characterization of these types. In the two-sided polynomials the coefficients are located at both sides of the powers. We will show that in this case there are, in addition, three more classes of zeros defined by the rank of a certain real 4x4 matrix. (en)
Title
  • Classification of zeros of quaternionic polynomials
  • Classification of zeros of quaternionic polynomials (en)
skos:prefLabel
  • Classification of zeros of quaternionic polynomials
  • Classification of zeros of quaternionic polynomials (en)
skos:notation
  • RIV/60461373:22340/13:43896458!RIV14-MSM-22340___
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  • V
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  • 65625
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  • RIV/60461373:22340/13:43896458
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  • two-sided quaternionic polynomials; isolated and spherical zeros; simple quaternionic polynomials (en)
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  • [9378B9D1F777]
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  • Rožnov pod Radhoštěm
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  • Ostrava
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  • Proceedings of the Conference SNA13, Seminar on Numerical Analysis: Modelling and Simulation of Challenging Engineering Problems
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  • Janovská, Drahoslava
  • Opfer, Gerhard
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number of pages
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  • Ústav geoniky AV ČR, v.v.i.
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  • 978-80-86407-34-0
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  • 22340
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