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・ Quadrula
・ Quadrula metanevra
・ Quadrula pustulosa
・ Quadrula quadrula
・ Quadrula refulgens
・ Quadrula rumphiana
・ Quadrula tuberosa
・ Quadrumana
・ Quadratic integrate and fire
・ Quadratic irrational
・ Quadratic Jordan algebra
・ Quadratic Lie algebra
・ Quadratic mean diameter
・ Quadratic pair
・ Quadratic probing
Quadratic programming
・ Quadratic reciprocity
・ Quadratic residue
・ Quadratic residue code
・ Quadratic residuosity problem
・ Quadratic set
・ Quadratic sieve
・ Quadratic transformation
・ Quadratic unconstrained binary optimization
・ Quadratic variation
・ Quadratic-linear algebra
・ Quadratically closed field
・ Quadratically constrained quadratic program
・ Quadratics
・ Quadratini


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Quadratic programming : ウィキペディア英語版
Quadratic programming

Quadratic programming (QP) is a special type of mathematical optimization problem. It is the problem of optimizing (minimizing or maximizing) a quadratic function of several variables subject to linear constraints on these variables.
==Problem formulation==
The quadratic programming problem with variables and constraints can be formulated as follows.〔.〕
Given:
* a real-valued, -dimensional vector ,
* an -dimensional real symmetric matrix ,
* an -dimensional real matrix , and
* an -dimensional real vector ,
the objective of quadratic programming is to find an -dimensional vector , that
\mathbf^\mathrm Q\mathbf + \mathbf^\mathrm \mathbf
|-
| subject to
| A \mathbf \leq \mathbf.
|}
where denotes the vector transpose of \mathbf. The notation means that every entry of the vector is less than or equal to the corresponding entry of the vector .
A related programming problem, quadratically constrained quadratic programming, can be posed by adding quadratic constraints on the variables.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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