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Volume 8, Issue 1
The Drazin Inverse of Hessenberg Matrices

Jian-Ming Miao

J. Comp. Math., 8 (1990), pp. 23-29.

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 by elements of $A$. The structure of the Drazin inverse of a lower Hessenberg matrix is also studied.

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@Article{JCM-8-23, author = {Miao , Jian-Ming}, title = {The Drazin Inverse of Hessenberg Matrices}, journal = {Journal of Computational Mathematics}, year = {1990}, volume = {8}, number = {1}, pages = {23--29}, 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 by 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 AU - Miao , Jian-Ming JO - Journal of Computational Mathematics VL - 1 SP - 23 EP - 29 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 by elements of $A$. The structure of the Drazin inverse of a lower Hessenberg matrix is also studied.

Miao , Jian-Ming. (1990). The Drazin Inverse of Hessenberg Matrices. Journal of Computational Mathematics. 8 (1). 23-29. doi:
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