Sum of two strictly n-zero matrices

被引：0
|
作者：
Gargate, Ivan G. [1 ]
Saenz, Edgar A. [1 ]
机构：
[1] UTFPR, Campus Pato Branco,Rua Via Conhecimento km 01, BR-85503390 Pato Branco, PR, Brazil
来源：
LINEAR & MULTILINEAR ALGEBRA | 2023年 / 71卷 / 15期
关键词：
Strictly n-zero matrices; nilpotent matrices; Jordan forms;
D O I：
10.1080/03081087.2022.2105786
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work we investigate when an n x n Jordan matrix can be written as the sum of two strictly n-zero matrices. In particular, we show that if F is an algebraically closed field of characteristic zero and A is an n x n matrix over F with tr(A) = 0, then A is the sum of two strictly n-zero matrices.
引用
收藏
页码：2474 / 2483
页数：10
相关论文
共 50 条
  • [31] A note on the formulas for the Drazin inverse of the sum of two matrices
    Liu, Xin
    Yang, Xiaoying
    Wang, Yaqiang
    OPEN MATHEMATICS, 2019, 17 : 160 - 167
  • [32] The Sum and the Product of Two Quadratic Matrices: Regular Cases
    Clément de Seguins Pazzis
    Advances in Applied Clifford Algebras, 2022, 32
  • [33] The Drazin inverse of the sum of two matrices and its applications
    Yang, Hu
    Liu, Xifu
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 235 (05) : 1412 - 1417
  • [34] Eigenvalue statistics for the sum of two complex Wishart matrices
    Kumar, Santosh
    EPL, 2014, 107 (06)
  • [35] Explicit formulae for the Drazin inverse of the sum of two matrices
    Zhang, Daochang
    Zhao, Yue
    Mosic, Dijana
    MATHEMATICA SLOVACA, 2025, 75 (01) : 83 - 98
  • [36] Some Results for the Drazin Inverses of the Sum of Two Matrices and Some Block Matrices
    Shakoor, Abdul
    Yang, Hu
    Ali, Ilyas
    JOURNAL OF APPLIED MATHEMATICS, 2013,
  • [37] The Moore-Penrose Inverse for Sum of Two Matrices
    Wu, Yanliang
    Wang, Ke
    Zhang, Guowan
    ADVANCES IN MATRIX THEORY AND ITS APPLICATIONS, VOL II: PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON MATRIX THEORY AND ITS APPLICATIONS, 2008, : 363 - 366
  • [38] The Drazin Inverse of the Sum of Two Matrices and its Applications
    Xia, Lingling
    Deng, Bin
    FILOMAT, 2017, 31 (16) : 5151 - 5158
  • [39] A note on the formulas for the Drazin inverse of the sum of two matrices
    Bu, Changjiang
    Zhang, Chundi
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 439 (03) : 565 - 576
  • [40] The Sum and the Product of Two Quadratic Matrices: Regular Cases
    de Seguins Pazzis, Clement
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2022, 32 (05)
12345