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Found 169 Documents (Results 1–100)

The evaluation complexity of finding high-order minimizers of nonconvex optimization. (English) Zbl 07822593

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 7. Sections 15–20. Berlin: European Mathematical Society (EMS). 5256-5289 (2023).
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Evaluation complexity of algorithms for nonconvex optimization. Theory, computation and perspectives. (English) Zbl 1520.90002

MSC:  90-02 90C26 90C60
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Evaluation complexity bounds for smooth constrained nonlinear optimization using scaled KKT conditions and high-order models. (English) Zbl 1425.90113

Demetriou, Ioannis (ed.) et al., Approximation and optimization. Algorithms, complexity and applications. Based on the conference on approximation and optimization: algorithms, complexity, and applications, National and Kapodistrian University of Athens, Athens, Greece, June 29–30, 2017. Cham: Springer. Springer Optim. Appl. 145, 5-26 (2019).
MSC:  90C30 90C59 90C60
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Worst-case evaluation complexity and optimality of second-order methods for nonconvex smooth optimization. (English) Zbl 1451.90177

Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume IV. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 3711-3750 (2018).
MSC:  90C60 90C26 90C30
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A note on preconditioning weighted linear least squares, with consequences for weakly-constrained variational data assimilation. arXiv:1709.09031

Preprint, arXiv:1709.09031 [math.NA] (2017).
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An interior-point \(\ell_1\)-penalty method for nonlinear optimization. (English) Zbl 1330.65085

Al-Baali, Mehiddin (ed.) et al., Numerical analysis and optimization. Selected papers based on the presentations at the 3rd international conference, NAO-III, Muscat, Oman, January 5–9, 2014. Cham: Springer (ISBN 978-3-319-17688-8/hbk; 978-3-319-17689-5/ebook). Springer Proceedings in Mathematics & Statistics 134, 117-150 (2015).
MSC:  65K05 90C26 90C51
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Global convergence of a non-monotone trust-region filter algorithm for nonlinear programming. (English) Zbl 1130.90399

Hager, William W. (ed.) et al., Multiscale optimization methods and applications. Selected papers based on the presentation at the conference, Gainesville, FL, USA, February 26–28, 2004. New York, NY: Springer (ISBN 0-387-29549-6/hbk). Nonconvex Optimization and Its Applications 82, 125-150 (2006).
MSC:  90C30 90C55
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How mature is nonlinear optimization? (English) Zbl 1146.90515

Hill, James M. (ed.) et al., Applied mathematics entering the 21st century. Papers from the 5th international congress on industrial and applied mathematics (ICIAM 2003), Sydney, Australia, July 7–11, 2003. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-0-89871-559-0/hbk). Proceedings in Applied Mathematics 116, 141-161 (2004).
MSC:  90C30
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Global convergence of a hybrid trust-region SQP-filter algorithm for general nonlinear programming. (English) Zbl 1063.90052

Sachs, E. W. (ed.) et al., System modeling and optimization XX. IFIP TC7, 20th conference on system modeling and optimization, Trier, Germany, July 23–37, 2001. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-7565-0/hbk). IFIP, Int. Fed. Inf. Process. 130, 23-54 (2003).
MSC:  90C30
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