Abstract
The Cayley transform of a matrix A, C(A)=(I+A)−1(I−A), has been investigated in the contexts of skew-symmetry, eigenvalue mapping and as a factorization technique for several matrix positivity classes. Here, we extend the discussion to Cayley transforms of almost skew-Hermitian matrices, positive definite matrices, semipositive matrices, as well as subclasses of the M-matrices, H-matrices and their inverses.
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