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An allometric large-scale analysis of the observed performance limits and sex differences in elite powerlifting. [PDF]
Montenegro S, Wicker P, Donath L.
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Convergence Guarantees for Time-Inhomogeneous Uniform-Rate Discrete Diffusion Models. [PDF]
Liang Y, Lai L, Shroff N, Liang Y.
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Optimization of the Nanoparticle Yield and Physicochemical Properties by a Structured Study of Nanoprecipitation Process Parameters. [PDF]
Suresh SK +4 more
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Solitons, bifurcation, chaos, and stability of the fractional Schrödinger-Hirota equation with beta derivative. [PDF]
Al Amin M +4 more
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Constant solutions of polynomial equations
International Journal of Control, 1991Abstract A necessary and sufficient condition is given for the equation AX + BY = C in polynomial matrices to have a constant solution pair X, Y and also for X to be non-singular. A sufficient condition is then established under which the equation with A and B fixed has a constant solution for each C from a given class. Applications to the construction
Vladimir Kučera, Petr Zagalak
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Polynomial maps with constant Jacobian
Israel Journal of Mathematics, 1979It has been long conjectured that ifn polynomialsf 1, …,f n inn variables have a (non-zero) constant Jacobian determinant then every polynomial can be expressed as a polynomial inf 1, …,f n. In this paper, various extra assumptions (particularly whenn=2) are shown to imply the conclusion. These conditions are discussed algebraically and geometrically.
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Exploiting Constant Trace Property in Large-scale Polynomial Optimization
43 pages, 6 algorithms, 23 tablesInternational audienceWe prove that every semidefinite moment relaxation of a polynomial optimization problem (POP) with a ball constraint can be reformulated as a semidefinite program involving a matrix with constant ...
Jie Wang +2 more
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