Stabilized SQP Methods in Hilbert Spaces

Uihlein A, Wollner W (2024)


Publication Language: English

Publication Type: Journal article

Publication year: 2024

Journal

Pages Range: 1-33

DOI: 10.1080/01630563.2024.2384861

Abstract

Based on techniques by (S.J. Wright 1998) for finite-dimensional optimization, we investigate a stabilized sequential quadratic programming method for nonlinear optimization problems in infinite-dimensional Hilbert spaces. The method is shown to achieve fast local convergence even in the absence of a constraint qualification, generalizing the results obtained by (S.J. Wright 1998 and W.W. Hager 1999) in finite dimensions to this broader setting.

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APA:

Uihlein, A., & Wollner, W. (2024). Stabilized SQP Methods in Hilbert Spaces. Numerical Functional Analysis and Optimization, 1-33. https://doi.org/10.1080/01630563.2024.2384861

MLA:

Uihlein, Andrian, and Winnifried Wollner. "Stabilized SQP Methods in Hilbert Spaces." Numerical Functional Analysis and Optimization (2024): 1-33.

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