Publication Information

{'id': 'https://openalex.org/W2056927789', 'doi': 'https://doi.org/10.1007/s10107-006-0019-y', 'title': 'Newton’s iterates can converge to non-stationary points', 'display_name': 'Newton’s iterates can converge to non-stationary points', 'publication_year': 2006, 'publication_date': '2006-09-14', 'ids': {'openalex': 'https://openalex.org/W2056927789', 'doi': 'https://doi.org/10.1007/s10107-006-0019-y', 'mag': '2056927789'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s10107-006-0019-y', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S193920097', 'display_name': 'Mathematical Programming', 'issn_l': '0025-5610', 'issn': ['0025-5610', '1436-4646'], '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/A5064718420', 'display_name': 'Walter F. Mascarenhas', 'orcid': 'https://orcid.org/0000-0002-5943-3228'}, 'institutions': [{'id': 'https://openalex.org/I17974374', 'display_name': 'Universidade de São Paulo', 'ror': 'https://ror.org/036rp1748', 'country_code': 'BR', 'type': 'education', 'lineage': ['https://openalex.org/I17974374']}], 'countries': ['BR'], 'is_corresponding': True, 'raw_author_name': 'Walter F. Mascarenhas', 'raw_affiliation_strings': ['University of São Paulo, Computer Science Department, São Paulo, Brazil#TAB#'], 'affiliations': [{'raw_affiliation_string': 'University of São Paulo, Computer Science Department, São Paulo, Brazil#TAB#', 'institution_ids': ['https://openalex.org/I17974374']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5064718420'], 'corresponding_institution_ids': ['https://openalex.org/I17974374'], 'apc_list': {'value': 2190, 'currency': 'EUR', 'value_usd': 2890, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 0.948, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 15, 'citation_normalized_percentile': {'value': 0.832682, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 85, 'max': 86}, 'biblio': {'volume': '112', 'issue': '2', 'first_page': '327', 'last_page': '334'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10963', 'display_name': 'Numerical Optimization Techniques', 'score': 0.9998, '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': 0.9998, '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': 0.9996, '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/T10792', 'display_name': 'Matrix Algorithms and Iterative Methods', 'score': 0.9973, '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/iterated-function', 'display_name': 'Iterated function', 'score': 0.90129894}, {'id': 'https://openalex.org/keywords/hessian-matrix', 'display_name': 'Hessian matrix', 'score': 0.8608203}, {'id': 'https://openalex.org/keywords/stationary-point', 'display_name': 'Stationary point', 'score': 0.6083028}, {'id': 'https://openalex.org/keywords/iterative-methods', 'display_name': 'Iterative Methods', 'score': 0.532145}, {'id': "https://openalex.org/keywords/newton's-method", 'display_name': "Newton's Method", 'score': 0.520891}, {'id': 'https://openalex.org/keywords/quasi-newton-method', 'display_name': 'Quasi-Newton method', 'score': 0.51992315}, {'id': 'https://openalex.org/keywords/convex-optimization', 'display_name': 'Convex Optimization', 'score': 0.509062}, {'id': 'https://openalex.org/keywords/local-convergence', 'display_name': 'Local Convergence', 'score': 0.506398}, {'id': 'https://openalex.org/keywords/minification', 'display_name': 'Minification', 'score': 0.5055764}, {'id': 'https://openalex.org/keywords/saddle-point', 'display_name': 'Saddle point', 'score': 0.43259352}], 'concepts': [{'id': 'https://openalex.org/C140479938', 'wikidata': 'https://www.wikidata.org/wiki/Q5254619', 'display_name': 'Iterated function', 'level': 2, 'score': 0.90129894}, {'id': 'https://openalex.org/C203616005', 'wikidata': 'https://www.wikidata.org/wiki/Q620495', 'display_name': 'Hessian matrix', 'level': 2, 'score': 0.8608203}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.7488799}, {'id': 'https://openalex.org/C85189116', 'wikidata': 'https://www.wikidata.org/wiki/Q374195', 'display_name': "Newton's method", 'level': 3, 'score': 0.71475947}, {'id': 'https://openalex.org/C2777303404', 'wikidata': 'https://www.wikidata.org/wiki/Q759757', 'display_name': 'Convergence (economics)', 'level': 2, 'score': 0.6124966}, {'id': 'https://openalex.org/C189237950', 'wikidata': 'https://www.wikidata.org/wiki/Q2500758', 'display_name': 'Stationary point', 'level': 2, 'score': 0.6083028}, {'id': 'https://openalex.org/C28826006', 'wikidata': 'https://www.wikidata.org/wiki/Q33521', 'display_name': 'Applied mathematics', 'level': 1, 'score': 0.57751954}, {'id': 'https://openalex.org/C114954040', 'wikidata': 'https://www.wikidata.org/wiki/Q1476018', 'display_name': 'Quasi-Newton method', 'level': 4, 'score': 0.51992315}, {'id': 'https://openalex.org/C48753275', 'wikidata': 'https://www.wikidata.org/wiki/Q11216', 'display_name': 'Numerical analysis', 'level': 2, 'score': 0.5194025}, {'id': 'https://openalex.org/C179127668', 'wikidata': 'https://www.wikidata.org/wiki/Q17086396', 'display_name': "Newton's method in optimization", 'level': 4, 'score': 0.51723987}, {'id': 'https://openalex.org/C147764199', 'wikidata': 'https://www.wikidata.org/wiki/Q6865248', 'display_name': 'Minification', 'level': 2, 'score': 0.5055764}, {'id': 'https://openalex.org/C2681867', 'wikidata': 'https://www.wikidata.org/wiki/Q690935', 'display_name': 'Saddle point', 'level': 2, 'score': 0.43259352}, {'id': 'https://openalex.org/C126255220', 'wikidata': 'https://www.wikidata.org/wiki/Q141495', 'display_name': 'Mathematical optimization', 'level': 1, 'score': 0.42907867}, {'id': 'https://openalex.org/C57869625', 'wikidata': 'https://www.wikidata.org/wiki/Q1783502', 'display_name': 'Rate of convergence', 'level': 3, 'score': 0.42004797}, {'id': 'https://openalex.org/C117898588', 'wikidata': 'https://www.wikidata.org/wiki/Q6664310', 'display_name': 'Local convergence', 'level': 3, 'score': 0.2719734}, {'id': 'https://openalex.org/C159694833', 'wikidata': 'https://www.wikidata.org/wiki/Q2321565', 'display_name': 'Iterative method', 'level': 2, 'score': 0.26620412}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.21739838}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.17341855}, {'id': 'https://openalex.org/C158622935', 'wikidata': 'https://www.wikidata.org/wiki/Q660848', 'display_name': 'Nonlinear system', 'level': 2, 'score': 0.1354737}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.08619663}, {'id': 'https://openalex.org/C26517878', 'wikidata': 'https://www.wikidata.org/wiki/Q228039', 'display_name': 'Key (lock)', 'level': 2, 'score': 0.071302295}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, '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/C162324750', 'wikidata': 'https://www.wikidata.org/wiki/Q8134', 'display_name': 'Economics', 'level': 0, '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/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/s10107-006-0019-y', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S193920097', 'display_name': 'Mathematical Programming', 'issn_l': '0025-5610', 'issn': ['0025-5610', '1436-4646'], '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': 'Climate action', 'id': 'https://metadata.un.org/sdg/13', 'score': 0.71}], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 9, 'referenced_works': ['https://openalex.org/W1988488690', 'https://openalex.org/W1998749910', 'https://openalex.org/W2009941369', 'https://openalex.org/W2058194880', 'https://openalex.org/W2077658674', 'https://openalex.org/W2095671204', 'https://openalex.org/W3012317737', 'https://openalex.org/W4212997115', 'https://openalex.org/W563711960'], 'related_works': ['https://openalex.org/W4388964614', 'https://openalex.org/W4298544744', 'https://openalex.org/W2996136316', 'https://openalex.org/W2983297293', 'https://openalex.org/W2972343833', 'https://openalex.org/W2970432723', 'https://openalex.org/W2963397933', 'https://openalex.org/W2489086843', 'https://openalex.org/W2463007134', 'https://openalex.org/W2152951271'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2056927789', 'counts_by_year': [{'year': 2023, 'cited_by_count': 1}, {'year': 2020, 'cited_by_count': 2}, {'year': 2018, 'cited_by_count': 2}, {'year': 2017, 'cited_by_count': 1}, {'year': 2016, 'cited_by_count': 1}, {'year': 2015, 'cited_by_count': 1}, {'year': 2014, 'cited_by_count': 2}, {'year': 2013, 'cited_by_count': 2}, {'year': 2012, 'cited_by_count': 1}], 'updated_date': '2024-09-17T15:48:09.817062', 'created_date': '2016-06-24'}