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Calculating Determinants of Block Matrices · Around

2011

Calculating Determinants of Block Matrices

Powell, Philip D.

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This paper presents a method for expressing the determinant of an N {\times} N complex block matrix in terms of its constituent blocks.

The result allows one to reduce the determinant of a matrix with N^2 blocks to the product of the determinants of N distinct combinations of single blocks.
This procedure proves useful in the analytic description of physical systems with multiple discrete variables, as it provides a systematic method for evaluating determinants which might otherwise be analytically intractable.

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E.H. Moore
1920
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1937
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R. A. Frazer, W. J. Duncan and A. R. Collar
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1955
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E.M. Murman and S.S. Abarbanel, eds
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