Regularization of an indefinite abstract interpolation problem with a quadratic constraint

Authors

  • Santiago Gonzalez Zerbo Departamento de Matemática, Facultad de Ingeniería – Universidad de Buenos Aires, and Instituto Argentino de Matemática “Alberto P. Calderón” (CONICET), Saavedra 15, (1083) Buenos Aires, Argentina
  • Alejandra Maestripieri Departamento de Matemática, Facultad de Ingeniería – Universidad de Buenos Aires, and Instituto Argentino de Matemática “Alberto P. Calderón” (CONICET), Saavedra 15, (1083) Buenos Aires, Argentina
  • Francisco Martínez Pería Centro de Matemática de La Plata (CMaLP) – FCE–UNLP, La Plata, Argentina, and Instituto Argentino de Matemática “Alberto P. Calderón” (CONICET), Saavedra 15, (1083) Buenos Aires, Argentina

DOI:

https://doi.org/10.33044/revuma.1956

Abstract

In this work we study an indefinite abstract smoothing problem. After establishing necessary and sufficient conditions for the existence of solutions, the set of admissible parameters is discussed in detail. Then, the  relationship of this problem with a linearly constrained interpolation problem is analyzed.

Downloads

Download data is not yet available.

Downloads

Published

2021-12-30

Issue

Vol. 62 No. 2 (2021)

Section

Article

License

Copyright (c) 2022 Santiago Gonzalez Zerbo, Alejandra Maestripieri, Francisco Martínez Pería

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Authors who publish with this journal agree to the following terms:

Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal. The Journal may retract the paper after publication if clear evidence is found that the findings are unreliable as a result of misconduct or honest error.