subsampled line search spectral gradient method for finite sums

Funding information: The first author acknowledges financial support received by the INdAM GNCS and by PNRR– Missione 4 Istruzione e Ricerca – Componente C2 Investimento 1.1, Fondo per il Pro-gramma Nazionale di Ricerca e Progetti di Rilevante Interesse Nazionale (PRIN) fundedby the European Commission under the NextGeneration EU programme, project ‘Advancedoptimization METhods for automated central veIn Sign detection in multiple sclerosis frommagneTic resonAnce imaging (AMETISTA)’, code: P2022J9SNP, MUR D.D. financing decreen. 1379 of 1st September 2023 (CUP E53D23017980001), project ‘Numerical Optimizationwith Adaptive Accuracy and Applications to Machine Learning’, code: 2022N3ZNAX MURD.D. financing decree n. 973 of 30th June 2023 (CUP B53D23012670006). The second and third authors were financially supported by the Science Fund of the Republic of Serbia, Grant no. 7359, Project LASCADO. The fourth author was financially supported by Fundação para a Ciência e a Tecnologia (Portuguese Foundation for Science and Technology) under the scope of the projects UIDB/MAT/00297/2020 (doi.org/10.54499/UIDB/00297/2020), and UIDP/MAT/00297/2020 (doi.org/10.54499/UIDP/00297/2020) (Centro de Matemática e Aplicações) Publisher Copyright: © 2024 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group.