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On the inversion of a particular matrix

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2 Author(s)
R. Hoard ; Rice University, Houston, TX, USA ; F. Huband

Necessary and sufficient conditions for the nonsingularity of a particular mn \times mn partitioned matrix C are given in terms of lower order m \times m matrices. The matrix C 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 C .

Published in:

IEEE Transactions on Automatic Control  (Volume:17 ,  Issue: 3 )