Reduced Triangular Form of Polynomial 3-by-3 Matrices with One Characteristic Root and Its Invariants
In this paper the semiscalar equivalence of polynomial matrices is investigated. We introduce the notion of the so-called reduced triangular form with respect to semiscalar equivalence for the 3-by-3 matrices with one characteristic root and indicate the invariants of this reduced form.
Saved in:
| Main Author: | B. Z. Shavarovskii |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2018/3127984 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
Canonical Form of Reduced 3-by-3 Matrix with One Characteristic Root and with Some Zero Subdiagonal Elements
by: B. Z. Shavarovskii
Published: (2019-01-01) -
Oriented by Characteristic Roots Reduced Matrices in the Class of Semiscalarly Equivalent
by: B. Z. Shavarovskii
Published: (2021-01-01) -
Generalization of numerical range of polynomial operator matrices
by: Darawan Zrar Mohammed, et al.
Published: (2023-02-01) -
Strongly Ad-Nilpotent Elements of the Lie Algebra of Upper Triangular Matrices
by: Zhiguang Hu
Published: (2022-01-01) -
Linear Maps on Upper Triangular Matrices Spaces Preserving Idempotent Tensor Products
by: Li Yang, et al.
Published: (2014-01-01)