Drazin inverse
id:
drazin-inverse-285-7629916
title:
Drazin inverse
text:
In mathematics, the Drazin inverse, named after Michael P. Drazin, is a kind of generalized inverse of a matrix. Let A be a square matrix. The index of A is the least nonnegative integer k such that rank(Ak+1) = rank(Ak). The Drazin inverse of A is the unique matrix AD that satisfies It's not a generalized inverse in the classical sense, since A A D A ≠ A in general. If A is invertible with inverse A − 1 , then A D = A − 1 .
If A is a block diagonal matrix where B is invertible with inverse B −
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original url:
https://en.wikipedia.org/wiki/Drazin_inverse
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date modified:
2023-07-28T23:43:38Z
main entity:
{"identifier":"Q4521948","url":"https://www.wikidata.org/entity/Q4521948"}
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