Matrix representations of multivalued projections and least squares problems
From MaRDI portal
Publication:6058819
DOI10.1016/j.jmaa.2023.127631zbMath1530.47001arXiv2301.12997MaRDI QIDQ6058819
Stefania A. M. Marcantognini, Alejandra L. Maestripieri, Maximiliano Contino, M. Laura Arias
Publication date: 1 November 2023
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2301.12997
Equations and inequalities involving linear operators, with vector unknowns (47A50) Linear relations (multivalued linear operators) (47A06)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Classes of idempotents in Hilbert space
- Unbounded or bounded idempotent operators in Hilbert space
- Unbounded symmetrizable idempotents
- Operational calculus of linear relations
- Operational calculus for rows, columns, and blocks of linear relations
- A geometrical approach to indefinite least squares problems
- Abstract splines in Krein spaces
- Boundary relations and generalized resolvents of symmetric operators
- Least-squares solutions of multi-valued linear operator equations in Hilbert spaces
- Complementable and almost definite matrices
- Constrained least-squares solutions of linear inclusions and singular control problems in Hilbert spaces
- Generalized Schur complements
- Generalized inverses. Theory and applications.
- Oblique projections and abstract splines.
- Representable projections and semi-projections in a Hilbert space
- Bilateral shorted operators and parallel sums
- Idempotent linear relations
- On the Moore--Penrose inverse of a closed linear relation
- Componentwise and Cartesian decompositions of linear relations
- Weighted Generalized Inverses, Oblique Projections, and Least-Squares Problems
- Inner, outer, and generalized inverses in banach and hilbert spaces
- Perturbation Theory for the Least Squares Problem with Linear Equality Constraints
- Shorted Operators. II
- Splines and pseudo-inverses
- Solving the Indefinite Least Squares Problem by Hyperbolic QR Factorization
- A Multiresponse Quadratic Control Problem
- Multivalued linear projections
- Linear estimation in Krein spaces. I. Theory
- Linear estimation in Krein spaces. II. Applications
