Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W3093148662', 'doi': 'https://doi.org/10.1007/s10092-020-00383-5', 'title': 'A modified Broyden family algorithm with global convergence under a weak Wolfe-Powell line search for unconstrained nonconvex problems', 'display_name': 'A modified Broyden family algorithm with global convergence under a weak Wolfe-Powell line search for unconstrained nonconvex problems', 'publication_year': 2020, 'publication_date': '2020-10-19', 'ids': {'openalex': 'https://openalex.org/W3093148662', 'doi': 'https://doi.org/10.1007/s10092-020-00383-5', 'mag': '3093148662'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s10092-020-00383-5', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S21314667', 'display_name': 'CALCOLO', 'issn_l': '0008-0624', 'issn': ['0008-0624', '1126-5434'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319900', 'host_organization_name': 'Springer Science+Business Media', 'host_organization_lineage': ['https://openalex.org/P4310319965', 'https://openalex.org/P4310319900'], 'host_organization_lineage_names': ['Springer Nature', 'Springer Science+Business Media'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5000834251', 'display_name': 'Gonglin Yuan', 'orcid': 'https://orcid.org/0000-0003-2667-5834'}, 'institutions': [{'id': 'https://openalex.org/I150807315', 'display_name': 'Guangxi University', 'ror': 'https://ror.org/02c9qn167', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I150807315']}], 'countries': ['CN'], 'is_corresponding': True, 'raw_author_name': 'Gonglin Yuan', 'raw_affiliation_strings': ['College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, People’s Republic of China'], 'affiliations': [{'raw_affiliation_string': 'College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, People’s Republic of China', 'institution_ids': ['https://openalex.org/I150807315']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5100411922', 'display_name': 'Zhan Wang', 'orcid': 'https://orcid.org/0000-0002-7832-7957'}, 'institutions': [{'id': 'https://openalex.org/I150807315', 'display_name': 'Guangxi University', 'ror': 'https://ror.org/02c9qn167', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I150807315']}], 'countries': ['CN'], 'is_corresponding': False, 'raw_author_name': 'Zhan Wang', 'raw_affiliation_strings': ['College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, People’s Republic of China'], 'affiliations': [{'raw_affiliation_string': 'College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, People’s Republic of China', 'institution_ids': ['https://openalex.org/I150807315']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5101857576', 'display_name': 'Pengyuan Li', 'orcid': 'https://orcid.org/0000-0002-3108-3510'}, 'institutions': [{'id': 'https://openalex.org/I150807315', 'display_name': 'Guangxi University', 'ror': 'https://ror.org/02c9qn167', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I150807315']}], 'countries': ['CN'], 'is_corresponding': False, 'raw_author_name': 'Pengyuan Li', 'raw_affiliation_strings': ['College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, People’s Republic of China'], 'affiliations': [{'raw_affiliation_string': 'College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, People’s Republic of China', 'institution_ids': ['https://openalex.org/I150807315']}]}], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5000834251'], 'corresponding_institution_ids': ['https://openalex.org/I150807315'], 'apc_list': {'value': 2290, 'currency': 'EUR', 'value_usd': 2890, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 2.038, 'has_fulltext': False, 'cited_by_count': 9, 'citation_normalized_percentile': {'value': 0.875441, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 86, 'max': 87}, 'biblio': {'volume': '57', 'issue': '4', 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10963', 'display_name': 'Numerical Optimization Techniques', 'score': 0.9999, 'subfield': {'id': 'https://openalex.org/subfields/2612', 'display_name': 'Numerical Analysis'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T10963', 'display_name': 'Numerical Optimization Techniques', 'score': 0.9999, 'subfield': {'id': 'https://openalex.org/subfields/2612', 'display_name': 'Numerical Analysis'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T12661', 'display_name': 'Convergence Analysis of Iterative Methods for Nonlinear Equations', 'score': 0.9905, 'subfield': {'id': 'https://openalex.org/subfields/2612', 'display_name': 'Numerical Analysis'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T10545', 'display_name': 'Iterative Algorithms for Nonlinear Operators and Optimization', 'score': 0.9784, 'subfield': {'id': 'https://openalex.org/subfields/1703', 'display_name': 'Computational Theory and Mathematics'}, 'field': {'id': 'https://openalex.org/fields/17', 'display_name': 'Computer Science'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/broyden–fletcher–goldfarb–shanno-algorithm', 'display_name': 'Broyden–Fletcher–Goldfarb–Shanno algorithm', 'score': 0.9451591}, {'id': 'https://openalex.org/keywords/line-search', 'display_name': 'Line search', 'score': 0.91497386}, {'id': 'https://openalex.org/keywords/quasi-newton-method', 'display_name': 'Quasi-Newton method', 'score': 0.64398044}, {'id': 'https://openalex.org/keywords/theory-of-computation', 'display_name': 'Theory of computation', 'score': 0.60682935}, {'id': 'https://openalex.org/keywords/convex-optimization', 'display_name': 'Convex Optimization', 'score': 0.5714}, {'id': 'https://openalex.org/keywords/global-optimization', 'display_name': 'Global Optimization', 'score': 0.519326}, {'id': 'https://openalex.org/keywords/nonlinear-operators', 'display_name': 'Nonlinear Operators', 'score': 0.511465}, {'id': 'https://openalex.org/keywords/nonlinear-programming', 'display_name': 'Nonlinear Programming', 'score': 0.509924}, {'id': 'https://openalex.org/keywords/derivative-free-optimization', 'display_name': 'Derivative-Free Optimization', 'score': 0.506407}, {'id': 'https://openalex.org/keywords/line', 'display_name': 'Line (geometry)', 'score': 0.48205766}], 'concepts': [{'id': 'https://openalex.org/C132721684', 'wikidata': 'https://www.wikidata.org/wiki/Q2877013', 'display_name': 'Broyden–Fletcher–Goldfarb–Shanno algorithm', 'level': 3, 'score': 0.9451591}, {'id': 'https://openalex.org/C85522705', 'wikidata': 'https://www.wikidata.org/wiki/Q3278015', 'display_name': 'Line search', 'level': 3, 'score': 0.91497386}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.713889}, {'id': 'https://openalex.org/C2777303404', 'wikidata': 'https://www.wikidata.org/wiki/Q759757', 'display_name': 'Convergence (economics)', 'level': 2, 'score': 0.6799058}, {'id': 'https://openalex.org/C114954040', 'wikidata': 'https://www.wikidata.org/wiki/Q1476018', 'display_name': 'Quasi-Newton method', 'level': 4, 'score': 0.64398044}, {'id': 'https://openalex.org/C24858836', 'wikidata': 'https://www.wikidata.org/wiki/Q844718', 'display_name': 'Theory of computation', 'level': 2, 'score': 0.60682935}, {'id': 'https://openalex.org/C126255220', 'wikidata': 'https://www.wikidata.org/wiki/Q141495', 'display_name': 'Mathematical optimization', 'level': 1, 'score': 0.48830938}, {'id': 'https://openalex.org/C198352243', 'wikidata': 'https://www.wikidata.org/wiki/Q37105', 'display_name': 'Line (geometry)', 'level': 2, 'score': 0.48205766}, {'id': 'https://openalex.org/C11413529', 'wikidata': 'https://www.wikidata.org/wiki/Q8366', 'display_name': 'Algorithm', 'level': 1, 'score': 0.46632913}, {'id': 'https://openalex.org/C14036430', 'wikidata': 'https://www.wikidata.org/wiki/Q3736076', 'display_name': 'Function (biology)', 'level': 2, 'score': 0.456132}, {'id': 'https://openalex.org/C28826006', 'wikidata': 'https://www.wikidata.org/wiki/Q33521', 'display_name': 'Applied mathematics', 'level': 1, 'score': 0.41095456}, {'id': 'https://openalex.org/C85189116', 'wikidata': 'https://www.wikidata.org/wiki/Q374195', 'display_name': "Newton's method", 'level': 3, 'score': 0.3198471}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.2587181}, {'id': 'https://openalex.org/C158622935', 'wikidata': 'https://www.wikidata.org/wiki/Q660848', 'display_name': 'Nonlinear system', 'level': 2, 'score': 0.22509024}, {'id': 'https://openalex.org/C31258907', 'wikidata': 'https://www.wikidata.org/wiki/Q1301371', 'display_name': 'Computer network', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C38652104', 'wikidata': 'https://www.wikidata.org/wiki/Q3510521', 'display_name': 'Computer security', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C151319957', 'wikidata': 'https://www.wikidata.org/wiki/Q752739', 'display_name': 'Asynchronous communication', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C78458016', 'wikidata': 'https://www.wikidata.org/wiki/Q840400', 'display_name': 'Evolutionary biology', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C162324750', 'wikidata': 'https://www.wikidata.org/wiki/Q8134', 'display_name': 'Economics', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C178635117', 'wikidata': 'https://www.wikidata.org/wiki/Q747499', 'display_name': 'RADIUS', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C86803240', 'wikidata': 'https://www.wikidata.org/wiki/Q420', 'display_name': 'Biology', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C50522688', 'wikidata': 'https://www.wikidata.org/wiki/Q189833', 'display_name': 'Economic growth', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s10092-020-00383-5', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S21314667', 'display_name': 'CALCOLO', 'issn_l': '0008-0624', 'issn': ['0008-0624', '1126-5434'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319900', 'host_organization_name': 'Springer Science+Business Media', 'host_organization_lineage': ['https://openalex.org/P4310319965', 'https://openalex.org/P4310319900'], 'host_organization_lineage_names': ['Springer Nature', 'Springer Science+Business Media'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [{'display_name': 'Reduced inequalities', 'score': 0.59, 'id': 'https://metadata.un.org/sdg/10'}], 'grants': [{'funder': 'https://openalex.org/F4320321001', 'funder_display_name': 'National Natural Science Foundation of China', 'award_id': 'No. 11661009'}], 'datasets': [], 'versions': [], 'referenced_works_count': 34, 'referenced_works': ['https://openalex.org/W1603599251', 'https://openalex.org/W1969791456', 'https://openalex.org/W2002199316', 'https://openalex.org/W2006048156', 'https://openalex.org/W2015768774', 'https://openalex.org/W2030405518', 'https://openalex.org/W2032277533', 'https://openalex.org/W2036870208', 'https://openalex.org/W2045968916', 'https://openalex.org/W2050218775', 'https://openalex.org/W2062294426', 'https://openalex.org/W2063449090', 'https://openalex.org/W2075313995', 'https://openalex.org/W2077658674', 'https://openalex.org/W2082739419', 'https://openalex.org/W2089758800', 'https://openalex.org/W2110305691', 'https://openalex.org/W2129616681', 'https://openalex.org/W2149454052', 'https://openalex.org/W2153532571', 'https://openalex.org/W2162298362', 'https://openalex.org/W2166369963', 'https://openalex.org/W2168804586', 'https://openalex.org/W2272058142', 'https://openalex.org/W2587634790', 'https://openalex.org/W2604655597', 'https://openalex.org/W2733294452', 'https://openalex.org/W288255560', 'https://openalex.org/W3012317737', 'https://openalex.org/W3029645440', 'https://openalex.org/W3141890267', 'https://openalex.org/W4212997115', 'https://openalex.org/W424742634', 'https://openalex.org/W4301014524'], 'related_works': ['https://openalex.org/W4385876532', 'https://openalex.org/W4317857408', 'https://openalex.org/W4293559771', 'https://openalex.org/W4287644333', 'https://openalex.org/W3139627051', 'https://openalex.org/W3093148662', 'https://openalex.org/W2768763952', 'https://openalex.org/W2356101382', 'https://openalex.org/W2092087339', 'https://openalex.org/W1970748391'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W3093148662', 'counts_by_year': [{'year': 2024, 'cited_by_count': 1}, {'year': 2023, 'cited_by_count': 2}, {'year': 2022, 'cited_by_count': 5}, {'year': 2021, 'cited_by_count': 1}], 'updated_date': '2024-08-18T21:40:06.784869', 'created_date': '2020-10-22'}