Analytic function of a matrix: Difference between revisions

Content deleted Content added
Adding local short description: "Function that maps matrices to matrices", overriding Wikidata description "function which maps a matrix to another matrix" (Shortdesc helper)
Jordan decomposition: Removed dots; it's not a dot product.
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{{main|Jordan normal form}}
All complex matrices, whether they are diagonalizable or not,
have a [[Jordan normal form]] <math>A = P\cdot ,J\cdot ,P^{-1}</math>,
where the matrix ''J'' consists of [[Jordan block]]s.
Consider these blocks separately and apply the power series to a Jordan block: