Generalized S-α2 Type Block Diagonally Dominant Matrices and Its Spectrum

doi:10.13438/j.cnki.jdzk.2024.03.001

Journal of Jishou University(Natural Sciences Edition) ›› 2024, Vol. 45 ›› Issue (3): 1-8.DOI: 10.13438/j.cnki.jdzk.2024.03.001

• Mathematics • Next Articles

Generalized S-α₂ Type Block Diagonally Dominant Matrices and Its Spectrum

ZHU Kaixin,TUO Qing,HUANG Qi

(College of Mathematics and Statistics,Jishou University,Jishou 416000,Hunan China)

Online:2024-05-25 Published:2024-06-19

Abstract

Abstract: A new judging criterion for a class of block diagonally dominant matrices is given by using the property of G-function and the technique of scaling and shrinking inequalities,and the inclusion field of the eigenvalues of the matrix is obtained.A numerical example is used to illustrate the validity and universality of the new judging criterion.

Key words: block H-matrix, G-function, eigenvalue, generalized S-α₂ block diagonally dominant matrix

ZHU Kaixin, TUO Qing, HUANG Qi. Generalized S-α₂ Type Block Diagonally Dominant Matrices and Its Spectrum[J]. Journal of Jishou University(Natural Sciences Edition), 2024, 45(3): 1-8.

[1]	TIAN Kun, TAN Zhewen, TAN Yuhao, LEI Kejun, YANG Xi. Improved Spectrum Sensing Algorithm Based on the Difference of Limit Eigenvalues [J]. Journal of Jishou University(Natural Sciences Edition), 2024, 45(2): 35-39.
[2]	LIU Tingting, LEI Kejun, TAN Zhewen, TIAN Chong, TIAN Xinxin, YANG Xi. A Novel MEHM Blind Spectrum Sensing Algorithm Based on Random Matrix Theory [J]. Journal of Jishou University(Natural Sciences Edition), 2023, 44(2): 33-38.
[3]	HUANG Xiaoyu, TIAN Kun, WANG Xiangmin, YANG Xi. Blind Primary User Signal Detection Algorithm Based on Matrix Eigenvalues [J]. Journal of Jishou University（Natural Sciences Edition), 2020, 41(1): 35-41.
[4]	HE Ruiqin,REN Fangguo. Notes on the Properties of Normal Matrices [J]. Journal of Jishou University（Natural Sciences Edition), 2018, 39(3): 5-8.
[5]	WANG Hanrui,LI Manjiang,TANG Pengcheng,YANG Xi,LEI Kejun. A Novel Spectrum Sensing Algorithm Based on MED for Cognitive Radio [J]. Journal of Jishou University（Natural Sciences Edition), 2018, 39(2): 50-54.
[6]	WANG Hanrui,HUANG Xiaoyu,JIANG Wei,ZHAI Fengyun,LEI Kejun. An Improved Blind Spectrum Sensing Algorithm Based on the Ratio of Eigenvalues of the Sample Covariance Matrix [J]. Journal of Jishou University（Natural Sciences Edition), 2017, 38(6): 40-44.
[7]	LIU Yong,BAI Yunwen. On the Eigenvalues of a Class of Second Order Ordinary Differential Operators [J]. Journal of Jishou University（Natural Sciences Edition), 2016, 37(2): 11-14.
[8]	ZENG Min-Li. New Preconditioner for a Class of Eddy Current Control Problems [J]. journal6, 2014, 35(2): 18-22.
[9]	CHEN Li-Min. Exact Estimation of the Eigenfunction and Eigenvalue for Sturm-Liouville Operator [J]. journal6, 2013, 34(3): 12-14.
[10]	CHENG Yong-Kuan, YAO Yang-Xin. Eigenvalue Problem for the Biharmonic Equation [J]. journal6, 2012, 33(6): 10-11.
[11]	ZHU Zhong-Xun, LAN Zhi-Cheng . Bound of the Second and Minimum Eigenvalues in Weighted Graph [J]. journal6, 2007, 28(6): 18-21.
[12]	XU Lu, PENG Bi-Jin. Eigenvalues and Eigenvectors of φ-Concave (Convex) Operators [J]. journal6, 2007, 28(5): 21-23.
[13]	MAO Jun-Chao, FENG Li-Hua, SHEN Xiu-Zhuan. Relation Between Toughness and Laplacian Eigenvalues of Graphs [J]. journal6, 2007, 28(2): 28-29.
[14]	ZHOU Hou-Qing, HE Mei-Zhi, HOU Yao-Ping. Second Smallest Eigenvalue of a Unicyclic Graph [J]. journal6, 2006, 27(2): 3-5.
[15]	MO Hong-Min. The Inverse Generalized Eigenvalue Problem for Jacobi Matrix [J]. journal6, 2004, 25(1): 67-70.

Generalized S-α₂ Type Block Diagonally Dominant Matrices and Its Spectrum

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments