Polyak's theorem on Hilbert spaces
DOI10.1080/02331934.2022.2132823arXiv2107.10905OpenAlexW3185166075WikidataQ115042588 ScholiaQ115042588MaRDI QIDQ6153795
Maximiliano Contino, Santiago Muro, Guillermina Fongi
Publication date: 19 March 2024
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.10905
Quadratic programming (90C20) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Numerical range, numerical radius (47A12) Convex sets in (2) dimensions (including convex curves) (52A10) Convex sets in (3) dimensions (including convex surfaces) (52A15) Forms (bilinear, sesquilinear, multilinear) (47A07)
Cites Work
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- An extension of Polyak's theorem in a Hilbert space
- Optimal estimation of linear operators from inaccurate data: A second look
- Convexity of quadratic transformations and its use in control and optimization
- On the convexity for the range set of two quadratic functions
- On the Field of Values of a Matrix
- Shorted Operators. II
- The Toeplitz-Hausdorff Theorem and Ellipticity Conditions
- Tikhonov Regularization and Total Least Squares
- On the Solution of the Tikhonov Regularization of the Total Least Squares Problem
- On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
- Linear Systems of Real Quadratic Forms
- On the Numerical Range of Compact Operators on Hilbert Spaces
- A Survey of the S-Lemma
- Total least squares problems on infinite dimensional spaces
- Pairs of quadratic forms
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