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Quadratically constrained quadratic program

In mathematical optimization, a quadratically constrained quadratic program (QCQP) is an optimization problem in which both the objective function and the constraints are quadratic functions. It has the form

Relaxation, Hardness & Example

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Quadratically constrained quadratic program

Nodes30
Edges29
Triples7
Avg. degree1.93
Density0.066667
Components1

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Quadratically constrained quadratic program

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related to Hardness · 6
Quadratically constrained quadratic program → Hence, NP-hard, QCQP, Since, Solving, To

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problem qcqp semidefinite programming quadratic pm constraints convex optimization matrices program p0 general relaxations sdp constrained positive np-hard relaxation linear

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SubjectPredicateObjectConfidenceSrc
photolithographyinstance ofand SDP relaxation of the dual provides good lower bounds.QCQP is used to finely tune machine setting in high-precision applications0.80text
Quadratically constrained quadratic programrelated to HardnessQCQP0.60section
Quadratically constrained quadratic programrelated to HardnessSolving0.60section
Quadratically constrained quadratic programrelated to HardnessNP-hard0.60section
Quadratically constrained quadratic programrelated to HardnessTo0.60section
Quadratically constrained quadratic programrelated to HardnessHence0.60section
Quadratically constrained quadratic programrelated to HardnessSince0.60section

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