Publication Information

{'id': 'https://openalex.org/W2084047272', 'doi': 'https://doi.org/10.1080/03081087.2014.896359', 'title': 'On the Ando–Li–Mathias mean and the Karcher mean of positive definite matrices', 'display_name': 'On the Ando–Li–Mathias mean and the Karcher mean of positive definite matrices', 'publication_year': 2014, 'publication_date': '2014-04-29', 'ids': {'openalex': 'https://openalex.org/W2084047272', 'doi': 'https://doi.org/10.1080/03081087.2014.896359', 'mag': '2084047272'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1080/03081087.2014.896359', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S150125562', 'display_name': 'Linear and Multilinear Algebra', 'issn_l': '0308-1087', 'issn': ['0308-1087', '1026-7573', '1563-5139'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320547', 'host_organization_name': 'Taylor & Francis', 'host_organization_lineage': ['https://openalex.org/P4310320547'], 'host_organization_lineage_names': ['Taylor & Francis'], '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/A5111536731', 'display_name': 'Jun Ichi Fujii', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I141479679', 'display_name': 'Osaka Kyoiku University', 'ror': 'https://ror.org/051j8zv27', 'country_code': 'JP', 'type': 'education', 'lineage': ['https://openalex.org/I141479679']}], 'countries': ['JP'], 'is_corresponding': False, 'raw_author_name': 'Jun Ichi Fujii', 'raw_affiliation_strings': ['Department of Arts and Sciences (Information Science), Osaka Kyoiku University, Osaka, Japan.'], 'affiliations': [{'raw_affiliation_string': 'Department of Arts and Sciences (Information Science), Osaka Kyoiku University, Osaka, Japan.', 'institution_ids': ['https://openalex.org/I141479679']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5102828499', 'display_name': 'Yūki Seo', 'orcid': 'https://orcid.org/0000-0001-7741-6053'}, 'institutions': [{'id': 'https://openalex.org/I141479679', 'display_name': 'Osaka Kyoiku University', 'ror': 'https://ror.org/051j8zv27', 'country_code': 'JP', 'type': 'education', 'lineage': ['https://openalex.org/I141479679']}], 'countries': ['JP'], 'is_corresponding': False, 'raw_author_name': 'Yuki Seo', 'raw_affiliation_strings': ['Department of Mathematics Education, Osaka Kyoiku University, Osaka, Japan'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics Education, Osaka Kyoiku University, Osaka, Japan', 'institution_ids': ['https://openalex.org/I141479679']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 1.05, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 10, 'citation_normalized_percentile': {'value': 0.830521, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 86, 'max': 87}, 'biblio': {'volume': '63', 'issue': '3', 'first_page': '636', 'last_page': '649'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11564', 'display_name': 'Mathematical Inequalities and Applications', 'score': 0.9999, 'subfield': {'id': 'https://openalex.org/subfields/2604', 'display_name': 'Applied 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/T11564', 'display_name': 'Mathematical Inequalities and Applications', 'score': 0.9999, 'subfield': {'id': 'https://openalex.org/subfields/2604', 'display_name': 'Applied 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/T12504', 'display_name': 'Mathematics and Applications', 'score': 0.9795, 'subfield': {'id': 'https://openalex.org/subfields/2608', 'display_name': 'Geometry and Topology'}, '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/T12508', 'display_name': 'Functional Equations Stability Results', 'score': 0.9619, 'subfield': {'id': 'https://openalex.org/subfields/2604', 'display_name': 'Applied Mathematics'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.8086834}, {'id': 'https://openalex.org/C49712288', 'wikidata': 'https://www.wikidata.org/wiki/Q77601250', 'display_name': 'Positive-definite matrix', 'level': 3, 'score': 0.7727915}, {'id': 'https://openalex.org/C40222840', 'wikidata': 'https://www.wikidata.org/wiki/Q185049', 'display_name': 'Geometric mean', 'level': 2, 'score': 0.7261604}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.49547064}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.43668678}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.16623068}, {'id': 'https://openalex.org/C158693339', 'wikidata': 'https://www.wikidata.org/wiki/Q190524', 'display_name': 'Eigenvalues and eigenvectors', 'level': 2, 'score': 0.08777726}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.075096846}, {'id': 'https://openalex.org/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1080/03081087.2014.896359', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S150125562', 'display_name': 'Linear and Multilinear Algebra', 'issn_l': '0308-1087', 'issn': ['0308-1087', '1026-7573', '1563-5139'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320547', 'host_organization_name': 'Taylor & Francis', 'host_organization_lineage': ['https://openalex.org/P4310320547'], 'host_organization_lineage_names': ['Taylor & Francis'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [{'id': 'https://metadata.un.org/sdg/10', 'display_name': 'Reduced inequalities', 'score': 0.47}], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 30, 'referenced_works': ['https://openalex.org/W1531601525', 'https://openalex.org/W1556259494', 'https://openalex.org/W1974200742', 'https://openalex.org/W1982326997', 'https://openalex.org/W1986620672', 'https://openalex.org/W1986964250', 'https://openalex.org/W2006848113', 'https://openalex.org/W2013011196', 'https://openalex.org/W2021828120', 'https://openalex.org/W2025599743', 'https://openalex.org/W2029258199', 'https://openalex.org/W2032236594', 'https://openalex.org/W2058310256', 'https://openalex.org/W2058822223', 'https://openalex.org/W2076226407', 'https://openalex.org/W2087670588', 'https://openalex.org/W2093265547', 'https://openalex.org/W2098701770', 'https://openalex.org/W2115411017', 'https://openalex.org/W2119314230', 'https://openalex.org/W2120923434', 'https://openalex.org/W2148664283', 'https://openalex.org/W2315622757', 'https://openalex.org/W278868556', 'https://openalex.org/W2798707604', 'https://openalex.org/W2964135630', 'https://openalex.org/W4206551434', 'https://openalex.org/W4230656891', 'https://openalex.org/W4255333822', 'https://openalex.org/W602998106'], 'related_works': ['https://openalex.org/W4245490552', 'https://openalex.org/W3002753104', 'https://openalex.org/W2123603517', 'https://openalex.org/W2072116238', 'https://openalex.org/W2061531152', 'https://openalex.org/W2007980826', 'https://openalex.org/W1987381557', 'https://openalex.org/W1980984606', 'https://openalex.org/W1979597421', 'https://openalex.org/W1502458949'], 'abstract_inverted_index': {'AbstractIn': [0], 'this': [1], 'paper,': [2], 'from': [3], 'the': [4, 7, 22, 26, 40, 45, 52, 80], 'viewpoint': [5], 'of': [6, 30, 39, 51], 'Ando–Hiai': [8, 42], 'inequality,': [9], 'we': [10, 36], 'make': [11], 'a': [12], 'comparison': [13], 'among': [14], 'three': [15], 'geometric': [16, 20, 28, 47, 56, 59, 61], 'means:': [17], 'The': [18], 'Ando–Li–Mathias': [19, 46, 55], 'mean,': [21], 'Karcher': [23], 'mean': [24, 29, 48], 'and': [25, 86], 'chaotic': [27], 'positive': [31], 'definite': [32], 'matrices.': [33], 'Among': [34], 'others,': [35], 'show': [37], 'complements': [38], '-variable': [41], 'inequality': [43], 'for': [44, 82], 'by': [49], 'means': [50], 'Kantorovich': [53], 'constant.Keywords:': [54], 'meanKarcher': [57], 'meanchaotic': [58], 'meanmatrix': [60], 'meanunitarily': [62], 'invariant': [63], 'normSpecht': [64], 'ratioKantorovich': [65], 'constantAndo–Hiai': [66], 'inequalityMSC': [67], 'classification:': [68], '47A3047A6347A64': [69], 'AcknowledgementsThe': [70], 'authors': [71], 'would': [72], 'like': [73], 'to': [74, 79], 'express': [75], 'their': [76], 'cordial': [77], 'thanks': [78], 'referee': [81], 'his/her': [83], 'valuable': [84], 'suggestions': [85], 'comments': [87], 'on': [88], 'Theorem': [89], '4.2.': [90]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2084047272', 'counts_by_year': [{'year': 2024, 'cited_by_count': 2}, {'year': 2022, 'cited_by_count': 1}, {'year': 2021, 'cited_by_count': 2}, {'year': 2019, 'cited_by_count': 1}, {'year': 2018, 'cited_by_count': 1}, {'year': 2017, 'cited_by_count': 1}, {'year': 2015, 'cited_by_count': 2}], 'updated_date': '2024-12-11T00:24:11.173827', 'created_date': '2016-06-24'}