R. J. D. L. Cruz

most citedDensity of diagonalizable matrices in sets of structured matrices defined from indefinite scalar products

2 citations · 4 across the 3 of their papers we have counts for

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math.RA2020★ 1 cited

Generic canonical forms for perplectic and symplectic normal matrices

Ralph John de la Cruz, Philip Saltenberger

Let $B$ be some invertible Hermitian or skew-Hermitian matrix. A matrix $A$ is called $B$ -normal if $A A^{⋆} = A^{⋆} A$ holds for $A$ and its adjoint matrix $A^\star := B^{-1}A^…

math.RA2020★ 2 cited

Density of diagonalizable matrices in sets of structured matrices defined from indefinite scalar products

Ralph John de la Cruz, Philip Saltenberger

For an (indefinite) scalar product $[x, y]_{B} = x^{H} B y$ for $B = \pm B^{H} \in G l_{n} (C)$ on $C^{n} \times C^{n}$ we show that the set of diagonalizable matrices is…