Philip Saltenberger

activity

20162023

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

2 citations · 6 across the 7 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…

math.RA2016

On vector spaces of linearizations for matrix polynomials in orthogonal bases

Heike Faßbender, Philip Saltenberger

Matrix polynomials given in an orthogonal basis are considered. Following the ideas of Mackey et al. "Vector spaces of Linearizations for Matrix Polynomials" (2006), the vec- tor s…