On Weighted Subdirect Sum of Nekrasov Matrices
Yu Wang , Jingjing Ding , Yanpei Wang
Communications on Applied Mathematics and Computation ›› : 1 -17.
This paper establishes several simple sufficient conditions under which the weighted subdirect sum of two Nekrasov matrices is also in this class. The theoretical results are supported by numerical examples that demonstrate the validity and applicability of the proposed conditions.
Subdirect sum / Weighted subdirect sum / Nekrasov matrices / Strictly diagonally dominant (SDD) matrices / 15A06 / 15A42 / 15B48
| [1] |
Abad, M.F., Gassó, M.T., Torregrosa, J.R.: Some results about inverse-positive matrices. Appl. Math. Comput. 218(1), 130–139 (2011) |
| [2] |
|
| [3] |
|
| [4] |
|
| [5] |
|
| [6] |
Fallat, S.M., Johnson, C.R.: Sub-direct sums and positivity classes of matrices. Linear Algebra Appl. 288(1/2/3), 149–173 (1999) |
| [7] |
|
| [8] |
|
| [9] |
|
| [10] |
|
| [11] |
|
| [12] |
|
| [13] |
|
| [14] |
|
| [15] |
|
| [16] |
Li, W.: On Nekrasov matrices. Linear Algebra Appl. 281(1/2/3), 87–96 (1998) |
| [17] |
Liu, L., Chen, X., Li, Y., Wang, Y.: Subdirect sums of Dashnic-Zusmanovich matrices. Bull. Sci. Math. 173, 103057 (2021) |
| [18] |
|
| [19] |
|
| [20] |
|
| [21] |
|
| [22] |
|
| [23] |
|
| [24] |
|
| [25] |
|
| [26] |
|
| [27] |
|
| [28] |
|
| [29] |
|
| [30] |
|
| [31] |
|
| [32] |
|
Shanghai University
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