polyconvexity

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noun

A generalization of the notion of convexity for functions defined on spaces of matrices.

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Meanings

nounpolyconvexity (uncountable)
  1. uncountablemathematicsA generalization of the notion of convexity for functions defined on spaces of matrices.

    Thus we negatively answer Morrey's conjecture in the subclass of isochoric nonlinear energies, since polyconvexity implies quasiconvexity.

    2015, Robert J. Martin, Ionel-Dumitrel Ghiba, Patrizio Neff, “Rank-one convexity implies polyconvexity for isotropic, objective and isochoric elastic energies in the two-dimensional case”, in (Please provide the book title or journal name)

Origin

From poly- + convexity.

Full word history & related roots →
Cite this entry
APA

polyconvexity. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/polyconvexity

MLA

“polyconvexity.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/polyconvexity. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “polyconvexity,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/polyconvexity.

Source: polyconvexity on Wiktionary, CC BY-SA 4.0.