sequential quadratic programming
sequential quadratic programming A widely used and successful approach to solving constrained optimization problems, that is minimize F(x), x = (x_{1},x_{2},…,x_{n})^{T},
where F(x) is a given objective function of n real variables, subject to the t nonlinear constraints on the variables, c_{i}(x) = 0, i = 1,2,…,t
Inequality constraints are also possible. A solution of this problem is also a stationary point (a point at which all the partial derivatives vanish) of the related function of x and λ, L(x,λ) = F(x) – Σλ_{i}c_{i}(x), λ = (λ_{1},λ_{2},…,λ_{t})
A quadratic approximation to this function is now constructed that along with linearized constraints forms a quadratic programming problem – i.e., the minimization of a function quadratic in the variables, subject to linear constraints. The solution of the original optimization problem, say x*, is now obtained from an initial estimate and solving a sequence of updated quadratic programs; the solutions of these provide improved approximations, which under certain conditions converge to x*.
Cite this article
Pick a style below, and copy the text for your bibliography.

MLA

Chicago

APA
"sequential quadratic programming." A Dictionary of Computing. . Encyclopedia.com. 22 Feb. 2019 <https://www.encyclopedia.com>.
"sequential quadratic programming." A Dictionary of Computing. . Encyclopedia.com. (February 22, 2019). https://www.encyclopedia.com/computing/dictionariesthesaurusespicturesandpressreleases/sequentialquadraticprogramming
"sequential quadratic programming." A Dictionary of Computing. . Retrieved February 22, 2019 from Encyclopedia.com: https://www.encyclopedia.com/computing/dictionariesthesaurusespicturesandpressreleases/sequentialquadraticprogramming
Citation styles
Encyclopedia.com gives you the ability to cite reference entries and articles according to common styles from the Modern Language Association (MLA), The Chicago Manual of Style, and the American Psychological Association (APA).
Within the “Cite this article” tool, pick a style to see how all available information looks when formatted according to that style. Then, copy and paste the text into your bibliography or works cited list.
Because each style has its own formatting nuances that evolve over time and not all information is available for every reference entry or article, Encyclopedia.com cannot guarantee each citation it generates. Therefore, it’s best to use Encyclopedia.com citations as a starting point before checking the style against your school or publication’s requirements and the mostrecent information available at these sites:
Modern Language Association
The Chicago Manual of Style
http://www.chicagomanualofstyle.org/tools_citationguide.html
American Psychological Association
Notes:
 Most online reference entries and articles do not have page numbers. Therefore, that information is unavailable for most Encyclopedia.com content. However, the date of retrieval is often important. Refer to each style’s convention regarding the best way to format page numbers and retrieval dates.
 In addition to the MLA, Chicago, and APA styles, your school, university, publication, or institution may have its own requirements for citations. Therefore, be sure to refer to those guidelines when editing your bibliography or works cited list.