Sequential quadratic programming
Abstract
Since its popularization in the late 1970s, Sequential Quadratic Programming (SQP) has arguably become the most successful method for solving nonlinearly constrained optimization problems. As with most optimization methods, SQP is not a single algorithm, but rather a conceptual method from which numerous specific algorithms have evolved. Backed by a solid theoretical and computational foundation, both commercial and public-domain SQP algorithms have been developed and used to solve a remarkably large set of important practical problems. Recently large-scale versions have been devised and tested with promising results.
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The OPF problem for the utility DERMS is non-linear, non-convex, and NP-hard due to the inclusion of the grid's physical characteristics.
“The OPF problem for the utility DERMS is non-linear, non-convex, and NP-hard due to the inclusion of the grid ' s physical characteristics, and is thus solved using sequential quadratic programming, a powerful non-linear optimization technique [28].”
From Improving distribution system flexibility using electric vehicles under the distributed energy resource management system framework (2026) · cites this paper as [28]
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- Authors
- Boggs, P. T., & Tolle, J. W.
- Affiliations
- National Institute of Standards and Technology (US)
- University of North Carolina at Chapel Hill (US)
- Venue
- Acta Numerica
- Publisher
- Cambridge University Press (CUP)
- Published
- 1995-01
- Volume
- 4
- Pages
- 1-51
- ISSN
- 0962-4929 (ISSN-L)
- 1474-0508
- OpenAlex
- W2149416133
- Cited by
- 1,858
- References
- 0
- Citations by year
- 2026: 104 · 2025: 122 · 2024: 116 · 2023: 130 · 2022: 119 · 2021: 119 · 2020: 109 · 2019: 93 · 2018: 90 · 2017: 78 · 2016: 74 · 2015: 67 · 2014: 73 · 2013: 70 · 2012: 73
- FWCI
- 6.78
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Acta Numerica (publishedVersion, public-domain)
- Topics
- Physical Sciences › Mathematics › Numerical Analysis › Advanced Optimization Algorithms Research
- Physical Sciences › Engineering › Control and Systems Engineering › Advanced Control Systems Optimization
- Physical Sciences › Computer Science › Computational Theory and Mathematics › Optimization and Variational Analysis
- Keywords
- sequential quadratic programming, nonlinearly constrained optimization, SQP algorithm, large-scale optimization, optimization software, convergence theory
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