2 papers
math.OC2026
The AHI family of sum of squares polynomials
Shaon Naskar, Kanchan Rajwar, Sujeet Kumar Singh
We introduce a new family of non-negative polynomials, constructed via the arithmetic harmonic inequality, called AHI polynomials. We derive explicit algebraic conditions for this…
math.OC2026
Convexity and SOS-Convexity of Sum of Separable and Biquadratic Quartic Polynomials and Optimization
Shaon Naskar, Sujeet Kumar Singh
Determining whether multivariate polynomials of degree four or higher are nonnegative and convex is a strongly NP-hard problem. To mitigate these computational difficulties, sum-of…