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Oriented by Characteristic Roots Reduced Matrices in the Class of Semiscalarly Equivalent

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  • B. Z. Shavarovskii
  • Shaofang Hong

Abstract

A set of polynomial 3×3-matrices of simple structure has been singled out, for which a so-called oriented by certain characteristic roots reduced matrix is established in the class of semiscalarly equivalent. The invariants of such reduced matrices and the conditions of their semiscalar equivalence are indicated. The obtained results will also be applied to the problem of similarity of sets of numerical matrices.

Suggested Citation

  • B. Z. Shavarovskii & Shaofang Hong, 2021. "Oriented by Characteristic Roots Reduced Matrices in the Class of Semiscalarly Equivalent," Journal of Mathematics, Hindawi, vol. 2021, pages 1-6, April.
    • Handle: RePEc:hin:jjmath:5592756
    DOI: 10.1155/2021/5592756
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