THE METRIC PROJECTIONS ONTO CLOSED CONVEX CONES IN A HILBERT SPACE

DOI10.1017/S1474748020000675zbMath1496.52006arXiv2005.07372OpenAlexW3130782828MaRDI QIDQ5102214

Yanqi Qiu, Zi-Peng Wang

Publication date: 6 September 2022

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.07372

zbMATH Keywords

best approximationclosed convex conespolynomials with nonnegative coefficientsmetric projections

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Approximation by polynomials (41A10) Approximation by convex sets (52A27)

Related Items (1)

Approximating properties of metric and generalized metric projections in uniformly convex and uniformly smooth Banach spaces

Cites Work

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• Projections onto convex cones in Hilbert space
• Convex analysis and nonlinear optimization. Theory and examples.
• Projections onto closed convex sets in Hilbert spaces
• Uniform approximation by polynomials with positive coefficients
• Some Algorithms for Computing Best Approximations from Convex Cones
• Approximation by polynomials with nonnegative coefficients and the spectral theory of positive operators
• Self-Adjoint Operators and Cones
• On the Convergence to Stationary Points of Deterministic and Randomized Feasible Descent Directions Methods
• Continuity of Metric Projections
• Positive Bases for Linear Spaces
• Theory of Positive Linear Dependence
• Best approximation in inner product spaces

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