{"doi":"10.53539/squjs.vol26iss2pp126-140","title":"Improved Diagonal Hessian Approximations for Large-Scale Unconstrained Optimization","abstract":"<jats:p>We consider some diagonal quasi-Newton methods for solving large-scale unconstrained optimization problems. A simple and effective approach for diagonal quasi-Newton algorithms is presented by proposing new updates of diagonal entries of the Hessian. Moreover, we suggest employing an extra BFGS update of the diagonal updating matrix and use its diagonal again. Numerical experiments on a collection of standard test problems show, in particular, that the proposed diagonal quasi-Newton methods perform substantially better than certain available diagonal methods.</jats:p>","journal":"Sultan Qaboos University Journal For Science","year":2025,"id":46044,"datarank":0.0,"base_score":0.0,"endowment":0.0,"self_citation_contribution":0.0,"citation_network_contribution":0.0,"self_endowment_contribution":0.0,"citer_contribution":0.0,"corpus_percentile":null,"corpus_rank":null,"citation_count":0,"citer_count":0,"citers_with_citation_signal":0,"citers_with_endowment":0,"datacite_reuse_total":0,"is_dataset":false,"is_dataset_confidence":null,"is_data_producer":false,"deposit_databanks":null,"is_oa":false,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":null,"fair_score":null,"fair_percentile":null,"algorithm_id":"datarank_citation_only_1hop_v6","ranking_scope":"data_only","authors":[{"id":214082,"name":"Ahmed Al-Siyabi","orcid":null,"position":0,"is_corresponding":false}],"reference_count":0,"raw_metadata":{"has_enrichment":true,"base_score":0.0,"endowment":0.0,"datacite_reuse_total":0,"file_count":0,"downloads":0,"views":0,"has_version_chain":false,"is_dataset":false,"is_oa":false,"pmid":"24551422","pmcid":null,"openalex_id":"https://openalex.org/W4285317199","authors":[],"funders":[],"total_grants":0,"fwci":0.0,"citation_percentile":0.1200392,"influential_citations":0,"citation_trend":[],"oa_status":"gold","license":"cc-by","oa_locations":[{"url":"https://journals.squ.edu.om/index.php/squjs/article/download/4759/3344","host_type":"journal"},{"url":"https://doi.org/10.53539/squjs.vol26iss2pp126-140","host_type":"GOLD"},{"url":"https://journals.squ.edu.om/index.php/squjs/article/download/4759/3344","host_type":"publisher"}],"fields_of_study":["Advanced Optimization Algorithms Research","Matrix Theory and Algorithms","Iterative Methods for Nonlinear Equations","Mathematics","Computer Science","Engineering"],"mesh_terms":[],"keywords":["Hessian matrix","Diagonal","Quasi-Newton method","Broyden–Fletcher–Goldfarb–Shanno algorithm","Diagonal matrix","Main diagonal","Newton's method","Simple (philosophy)","Scale (ratio)","Mathematical optimization","Applied mathematics","Computer science","Mathematics","Matrix (chemical analysis)","Algorithm","Geometry","Physics","Nonlinear system"],"sdg_mappings":[],"linked_datasets":[],"clinical_trials":[],"software_tools":[],"database_accessions":[],"source":"live","citation_network_status":"fetched"},"created_at":"2026-07-05T23:55:51.757527Z","pmid":null,"pmcid":null,"fwci":null,"citation_percentile":null,"influential_citations":0,"oa_status":null,"license":null,"views":0,"total_file_size_bytes":0,"version_count":0,"fair_f":null,"fair_a":null,"fair_i":null,"fair_r":null,"fair_zscore":null,"fair_rationale":null,"fair_model":null,"fair_agent_version":null,"fair_fulltext_source":null,"fair_has_llm":null,"fair_computed_at":null,"clinical_trials":[],"software_tools":[],"db_accessions":[],"linked_datasets":[],"topics":[]}