[图书][B] Variational analysis and applications

BS Mordukhovich - 2018 - Springer
Boris S. Mordukhovich Page 1 Springer Monographs in Mathematics Boris S. Mordukhovich
Variational Analysis and Applications Page 2 Springer Monographs in Mathematics Editors-in-Chief …

Variational analysis of regular mappings

AD Ioffe - Springer Monographs in Mathematics. Springer, Cham, 2017 - Springer
Variational Analysis of Regular Mappings Page 1 Springer Monographs in Mathematics
Variational Analysis of Regular Mappings Alexander D. Ioffe Theory and Applications Page 2 …

Interference nulling using reconfigurable intelligent surface

T Jiang, W Yu - IEEE Journal on Selected Areas in …, 2022 - ieeexplore.ieee.org
This paper investigates the interference nulling capability of reconfigurable intelligent
surface (RIS) in a multiuser environment where multiple single-antenna transceivers …

Quantitative convergence analysis of iterated expansive, set-valued mappings

D Russell Luke, NH Thao… - Mathematics of Operations …, 2018 - pubsonline.informs.org
We develop a framework for quantitative convergence analysis of Picard iterations of
expansive set-valued fixed point mappings. There are two key components of the analysis …

About subtransversality of collections of sets

AY Kruger, DR Luke, NH Thao - Set-Valued and Variational Analysis, 2017 - Springer
We provide dual sufficient conditions for subtransversality of collections of sets in an
Asplund space setting. For the convex case, we formulate a necessary and sufficient dual …

Extremality of families of sets

ND Cuong, AY Kruger, N Hieu Thao - Optimization, 2024 - Taylor & Francis
The paper proposes another extension of the extremal principle. A new extremality model
involving collections of arbitrary families of sets is studied. It generalizes the conventional …

[PDF][PDF] Phase retrieval, what's new

DR Luke - SIAG/OPT Views and News, 2017 - researchgate.net
Ask an engineer to solve a problem and she will come back in a day or so with something
that seems to work well enough most of the time. Ask a mathematician to solve the same …

Quasioptimal alternating projections and their use in low-rank approximation of matrices and tensors

S Budzinskiy - arXiv preprint arXiv:2308.16097, 2023 - arxiv.org
We study the convergence of specific inexact alternating projections for two non-convex sets
in a Euclidean space. The $\sigma $-quasioptimal metric projection ($\sigma\geq 1$) of a …

A new projection method for finding the closest point in the intersection of convex sets

FJ Aragón Artacho, R Campoy - Computational optimization and …, 2018 - Springer
In this paper we present a new iterative projection method for finding the closest point in the
intersection of convex sets to any arbitrary point in a Hilbert space. This method, termed …

Necessary conditions for linear convergence of iterated expansive, set-valued mappings

DR Luke, M Teboulle, NH Thao - Mathematical Programming, 2020 - Springer
We present necessary conditions for monotonicity of fixed point iterations of mappings that
may violate the usual nonexpansive property. Notions of linear-type monotonicity of fixed …