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Kippenhahn's conjecture on simple eigenvalues of linear pencils
Let $H$ ) and $K$ be hermitian matrices that generate the full matrix algebra, and let $xH+yK$ be the associated linear pencil. Kippenhahn's conjecture. The pencil $xH+yK$ must have…
Conjecturerefutedlinear-pencils matrix-theoryarXiv posted 2 days ago
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Kippenhahn's conjecture on hermitian matrix algebras
Kippenhahn's conjecture. The algebra generated by $H$ and $K$ cannot be the full algebra $M_{2n}(\mathbb{C})$ .
Conjectureopenhermitian-matrices linear-pencils matrix-algebrasarXiv posted 2 days ago

Kippenhahn's conjecture on simple eigenvalues of linear pencils