clopen.solutions

Open problems

980 registered problems.

OP-00090 Lean verified
Local Hölder continuity of the joint spectral radius
DS · Hölder continuity · joint spectral radius · OpenProblemsInNLA
OP-00091 Lean verified
A pointwise Lipschitz lower bound for the joint spectral radius
DS · joint spectral radius · OpenProblemsInNLA · perturbation bounds
OP-00092 Lean verified
Uniform polynomial bounds for products at joint spectral radius one
DS · joint spectral radius · matrix products · OpenProblemsInNLA
OP-00093 Lean verified
Realizing arbitrary polynomial growth exponents by finite matrix families
DS · growth rates · joint spectral radius · matrix products · OpenProblemsInNLA
OP-00161 Open
Finiteness for nonnegative rational matrix families
DS · finiteness property · joint spectral radius · nonnegative matrices · OpenProblemsInNLA
OP-00162 Open
Decidability of strict stability for rational matrix families
DS · decidability · joint spectral radius · OpenProblemsInNLA · switched linear systems
OP-00163 Open
Algebraicity of joint spectral radii from rational input
DS · algebraic numbers · joint spectral radius · OpenProblemsInNLA
OP-00164 Open
Temporal regularity of marginal matrix-product growth
DS · growth rates · joint spectral radius · matrix products · OpenProblemsInNLA