Document Zbl 1375.13048

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A formula for the algebraic degree in semidefinite programming. (English) Zbl 1375.13048

Kodai Math. J. 39, No. 3, 484-488 (2016).

Summary: In this paper we use the Bott residue formula in equivariant cohomology to show a formula for the algebraic degree in semidefinite programming.

Cited in 1 Document

MSC:

13P25	Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.)
14F43	Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies)
90C22	Semidefinite programming
68W30	Symbolic computation and algebraic computation
14N15	Classical problems, Schubert calculus

Keywords:

semidefinite programming; algebraic degree; intersection theory; equivariant cohomology; Bott residue formula

Software:

Schubert3; schubert.lib; SageMath

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