DocumentCode :
808671
Title :
On the inversion of a particular matrix
Author :
Hoard, R.E. ; Huband, F.L.
Author_Institution :
Rice University, Houston, TX, USA
Volume :
17
Issue :
3
fYear :
1972
fDate :
6/1/1972 12:00:00 AM
Firstpage :
374
Lastpage :
375
Abstract :
Necessary and sufficient conditions for the nonsingularity of a particular 
partitioned matrix 
are given in terms of lower order 
matrices. The matrix is formed by adding a block diagonal matrix to a partitioned matrix, each of whose submatrices are identical. Analytical formulas are given for both the determinant and the inverse of .
partitioned matrix are given in terms of lower order matrices. The matrix is formed by adding a block diagonal matrix to a partitioned matrix, each of whose submatrices are identical. Analytical formulas are given for both the determinant and the inverse of .Keywords :
Matrix inversion; Automatic control; Circuit theory; Control systems; Filtering theory; Filters; IEL; Linear systems;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1972.1099978
Filename :
1099978
Link To Document :
