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

B. Z. Shavarovskii | Zendy

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

Author(s) -

B. Z. Shavarovskii

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/5592756

Subject(s) - mathematics , equivalence (formal languages) , matrix similarity , class (philosophy) , simple (philosophy) , matrix (chemical analysis) , set (abstract data type) , similarity (geometry) , combinatorics , equivalence class (music) , polynomial , pure mathematics , discrete mathematics , algebra over a field , mathematical analysis , computer science , materials science , philosophy , image (mathematics) , epistemology , artificial intelligence , partial differential equation , composite material , programming language

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.

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