Exact Lagrangian extremization plus a K-invariant structural theorem yields a hierarchy of sharp H-eigenvalue bounds for real-spectrum SPD tensors, far tighter than prior AM–GM bounds.
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Sharp Spectral Bounds for Symmetric Positive Definite Tensors via Multiple Algebraic Invariants
Exact Lagrangian extremization plus a K-invariant structural theorem yields a hierarchy of sharp H-eigenvalue bounds for real-spectrum SPD tensors, far tighter than prior AM–GM bounds.