Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2020374088', 'doi': 'https://doi.org/10.4310/cms.2008.v6.n2.a12', 'title': 'Perron-Frobenius theorem for nonnegative tensors', 'display_name': 'Perron-Frobenius theorem for nonnegative tensors', 'publication_year': 2008, 'publication_date': '2008-01-01', 'ids': {'openalex': 'https://openalex.org/W2020374088', 'doi': 'https://doi.org/10.4310/cms.2008.v6.n2.a12', 'mag': '2020374088'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.4310/cms.2008.v6.n2.a12', 'pdf_url': 'http://www.intlpress.com/site/pub/files/_fulltext/journals/cms/2008/0006/0002/CMS-2008-0006-0002-a012.pdf', 'source': {'id': 'https://openalex.org/S128136061', 'display_name': 'Communications in Mathematical Sciences', 'issn_l': '1539-6746', 'issn': ['1539-6746', '1945-0796'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4327904645', 'host_organization_name': 'International Press of Boston', 'host_organization_lineage': ['https://openalex.org/P4327904645'], 'host_organization_lineage_names': ['International Press of Boston'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': True, 'oa_status': 'bronze', 'oa_url': 'http://www.intlpress.com/site/pub/files/_fulltext/journals/cms/2008/0006/0002/CMS-2008-0006-0002-a012.pdf', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5077597397', 'display_name': 'Kai‐Wei Chang', 'orcid': 'https://orcid.org/0000-0002-4674-2662'}, 'institutions': [{'id': 'https://openalex.org/I20231570', 'display_name': 'Peking University', 'ror': 'https://ror.org/02v51f717', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I20231570']}], 'countries': ['CN'], 'is_corresponding': False, 'raw_author_name': 'K. C. Chang', 'raw_affiliation_strings': ['School of Math. Sci., Peking Univ., Beijing 100871, China'], 'affiliations': [{'raw_affiliation_string': 'School of Math. Sci., Peking Univ., Beijing 100871, China', 'institution_ids': ['https://openalex.org/I20231570']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5059638134', 'display_name': 'K. PEARSON', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I127362389', 'display_name': 'Murray State University', 'ror': 'https://ror.org/01fmwcn13', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I127362389']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'K. Pearson', 'raw_affiliation_strings': ['Department of Mathematics & Statistics., Murray State Univ., Murray, KY 42071, USA'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics & Statistics., Murray State Univ., Murray, KY 42071, USA', 'institution_ids': ['https://openalex.org/I127362389']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5013656864', 'display_name': 'T. Zhang', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I127362389', 'display_name': 'Murray State University', 'ror': 'https://ror.org/01fmwcn13', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I127362389']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'T. Zhang', 'raw_affiliation_strings': ['Department of Mathematics & Statistics., Murray State Univ., Murray, KY 42071, USA'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics & Statistics., Murray State Univ., Murray, KY 42071, USA', 'institution_ids': ['https://openalex.org/I127362389']}]}], 'institution_assertions': [], 'countries_distinct_count': 2, 'institutions_distinct_count': 2, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 2.75, 'has_fulltext': False, 'cited_by_count': 519, 'citation_normalized_percentile': {'value': 0.878505, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 99, 'max': 100}, 'biblio': {'volume': '6', 'issue': '2', 'first_page': '507', 'last_page': '520'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T12303', 'display_name': 'Tensor Decompositions and Applications in Multilinear Algebra', 'score': 0.9998, 'subfield': {'id': 'https://openalex.org/subfields/2605', 'display_name': 'Computational Mathematics'}, '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/T12303', 'display_name': 'Tensor Decompositions and Applications in Multilinear Algebra', 'score': 0.9998, 'subfield': {'id': 'https://openalex.org/subfields/2605', 'display_name': 'Computational Mathematics'}, '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': 0.9906, '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'}}, {'id': 'https://openalex.org/T10963', 'display_name': 'Numerical Optimization Techniques', 'score': 0.9518, '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'}}], 'keywords': [{'id': 'https://openalex.org/keywords/nonnegative-tensor-factorization', 'display_name': 'Nonnegative Tensor Factorization', 'score': 0.575622}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.6797615}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.4477883}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.38578725}], 'mesh': [], 'locations_count': 2, 'locations': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.4310/cms.2008.v6.n2.a12', 'pdf_url': 'http://www.intlpress.com/site/pub/files/_fulltext/journals/cms/2008/0006/0002/CMS-2008-0006-0002-a012.pdf', 'source': {'id': 'https://openalex.org/S128136061', 'display_name': 'Communications in Mathematical Sciences', 'issn_l': '1539-6746', 'issn': ['1539-6746', '1945-0796'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4327904645', 'host_organization_name': 'International Press of Boston', 'host_organization_lineage': ['https://openalex.org/P4327904645'], 'host_organization_lineage_names': ['International Press of Boston'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, {'is_oa': True, 'landing_page_url': 'http://projecteuclid.org/euclid.cms/1214949934', 'pdf_url': 'https://projecteuclid.org/journals/communications-in-mathematical-sciences/volume-6/issue-2/Perron-Frobenius-theorem-for-nonnegative-tensors/cms/1214949934.pdf', 'source': {'id': 'https://openalex.org/S4306400787', 'display_name': 'Project Euclid (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I205783295', 'host_organization_name': 'Cornell University', 'host_organization_lineage': ['https://openalex.org/I205783295'], 'host_organization_lineage_names': ['Cornell University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.4310/cms.2008.v6.n2.a12', 'pdf_url': 'http://www.intlpress.com/site/pub/files/_fulltext/journals/cms/2008/0006/0002/CMS-2008-0006-0002-a012.pdf', 'source': {'id': 'https://openalex.org/S128136061', 'display_name': 'Communications in Mathematical Sciences', 'issn_l': '1539-6746', 'issn': ['1539-6746', '1945-0796'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4327904645', 'host_organization_name': 'International Press of Boston', 'host_organization_lineage': ['https://openalex.org/P4327904645'], 'host_organization_lineage_names': ['International Press of Boston'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 6, 'referenced_works': ['https://openalex.org/W1483218536', 'https://openalex.org/W2041197939', 'https://openalex.org/W2090208105', 'https://openalex.org/W2113722075', 'https://openalex.org/W2204118584', 'https://openalex.org/W4292096448'], 'related_works': ['https://openalex.org/W4245490552', 'https://openalex.org/W4225152035', 'https://openalex.org/W3002753104', 'https://openalex.org/W2911598644', 'https://openalex.org/W2077600819', 'https://openalex.org/W2061531152', 'https://openalex.org/W2042127053', 'https://openalex.org/W2007980826', 'https://openalex.org/W1979597421', 'https://openalex.org/W1587224694'], 'abstract_inverted_index': {'We': [0], 'generalize': [1], 'the': [2, 9], 'Perron-Frobenius': [3], 'Theorem': [4], 'for': [5], 'nonnegative': [6, 12], 'matrices': [7], 'to': [8], 'class': [10], 'of': [11], 'tensors.': [13]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2020374088', 'counts_by_year': [{'year': 2024, 'cited_by_count': 16}, {'year': 2023, 'cited_by_count': 38}, {'year': 2022, 'cited_by_count': 22}, {'year': 2021, 'cited_by_count': 34}, {'year': 2020, 'cited_by_count': 46}, {'year': 2019, 'cited_by_count': 45}, {'year': 2018, 'cited_by_count': 38}, {'year': 2017, 'cited_by_count': 39}, {'year': 2016, 'cited_by_count': 60}, {'year': 2015, 'cited_by_count': 59}, {'year': 2014, 'cited_by_count': 37}, {'year': 2013, 'cited_by_count': 42}, {'year': 2012, 'cited_by_count': 16}], 'updated_date': '2024-09-16T22:44:00.958405', 'created_date': '2016-06-24'}