Range-extension conjecture for the algebraic degree of semidefinite programming

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Let δ(m,n,r)\delta(m,n,r) denote the algebraic degree of semidefinite programming, and let the formula in Theorem~ be the formula established there under a stated restriction on the range of mm. Range-extension conjecture. The formula for the algebraic degree of semidefinite programming in Theorem~ holds without the restriction in the range of mm. This extends the theorem beyond its stated range; the supplied text gives no resolution of the conjecture.

References

Primary source

Jiawang Nie, Kristian Ranestad and Bernd Sturmfels, “The Algebraic Degree of Semidefinite Programming”, arXiv:math/0611562 (2008).

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