Michael Stessin

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math.FA2026

Kippenhahn's Conjecture Revisited

Michael Stessin

In 1951 paper \cite{Ki} Kippenhahn conjectured that if the characteristic polynomial \ $P_A(x_1,x_2,x_3)=\mbox{det}(x_1A_1+x_2A_2-x_3I)$, \ where $A_{1}$ and $A_{2}$ are $n \times n$ He…

math.FA2025

Spectral test of reducibility for Matrix tuples

Michael Stessin, Rongwei Yang

If a tuple of matrices has a common invariant subspace, its projective joint spectrum has an algebraic component. In general, the converse is not true, and there might be algebraic…