Copositive matrices with nondecreasing off-diagonal entries admit a PSD plus nonnegative decomposition, which implies exactness of a natural relaxation for separable quadratic optimization over the simplex.
Polynomialsystems,homotopycontinuation,andapplications
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Algebraic characterization of runtime pgfs for GCP programs via kernel polynomial roots yields dominant singularities and exact asymptotics for single-state cases.
An algebraic approach defines semi-algebraic parameter sets from underlying polynomial structures in evolutionary processes before likelihood maximization, showing compatibility with existing statistical EvAM models while adding parameter-space information.
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