Efficient iterative solutions to complex-valued nonlinear least-squares problems with mixed linear and antilinear operators

We consider a setting in which it is desired to find an optimal complex vector x ∈ C N that satisfies A ( x ) ≈ b in a least-squares sense, where b ∈ C M is a data vector (possibly noise-corrupted), and A ( · ) : C N → C M is a measurement operator. If A ( · ) were linear, this reduces to the classi...

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Bibliographic Details
Published in:	Optimization and engineering Vol. 23; no. 2; pp. 749 - 768
Main Authors:	Kim, Tae Hyung, Haldar, Justin P.
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.06.2022 Springer Nature B.V
Subjects:	Algorithms Complexity Conjugation Control Engineering Environmental Management Exact solutions Financial Engineering Inverse problems Iterative methods Iterative solution Least squares method Mathematics Mathematics and Statistics Operations Research/Decision Theory Operators Optimization Research Article Systems Theory Linear and antilinear operators Inverse problems Efficient numerical computations 65K10 47J05 65H10 47J25 47N10 Iterative least-squares algorithms 15A29
ISSN:	1389-4420, 1573-2924, 1573-2924
Online Access:	Get full text
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