Volume 8, Issue 1
The Drazin Inverse of Hessenberg Matrices
DOI:

J. Comp. Math., 8 (1990), pp. 23-27

Published online: 1990-08

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• Abstract

The Drazin inverse of a lower hessenberg matrix is considered. If A is a singular lower Hessenberg matrix and $a_{i,i+1}=\neq 0,i=1,2,\cdots,n-1$, then $A^D$ can be given, and expressed explicitly be elements of A. The structure of the Drazin inverse of a lower Hessenberg matrix is also studied.

• Keywords

@Article{JCM-8-23, author = {}, title = {The Drazin Inverse of Hessenberg Matrices}, journal = {Journal of Computational Mathematics}, year = {1990}, volume = {8}, number = {1}, pages = {23--27}, abstract = { The Drazin inverse of a lower hessenberg matrix is considered. If A is a singular lower Hessenberg matrix and $a_{i,i+1}=\neq 0,i=1,2,\cdots,n-1$, then $A^D$ can be given, and expressed explicitly be elements of A. The structure of the Drazin inverse of a lower Hessenberg matrix is also studied. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9416.html} }
TY - JOUR T1 - The Drazin Inverse of Hessenberg Matrices JO - Journal of Computational Mathematics VL - 1 SP - 23 EP - 27 PY - 1990 DA - 1990/08 SN - 8 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9416.html KW - AB - The Drazin inverse of a lower hessenberg matrix is considered. If A is a singular lower Hessenberg matrix and $a_{i,i+1}=\neq 0,i=1,2,\cdots,n-1$, then $A^D$ can be given, and expressed explicitly be elements of A. The structure of the Drazin inverse of a lower Hessenberg matrix is also studied.