2 problems

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The conjecture that semisimple polynomial eigenvalue problems are not ill-conditioned
Semisimple-eigenvalue conjecture. In the case of polynomial eigenvalue problems, problems with semisimple eigenvalues are not ill-conditioned in this framework; moreover, much of t…
Conjectureopencondition-numbers numerical-linear-algebra polynomial-eigenvalue-problemsarXiv posted 2 days ago
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Conjecture on constructible vectors and quadratic-form roots for polynomial eigenvalue problems
Constructible-vector conjecture. There are easily constructible vectors $x$ such that the corresponding quadratic forms $x^{*}P(\lambda)x$ are distinct and their roots are within s…
Conjectureopennumerical-linear-algebra polynomial-eigenvalue-problemsarXiv posted 2 days ago

The conjecture that semisimple polynomial eigenvalue problems are not ill-conditioned