Publication Information

{'id': 'https://openalex.org/W650615000', 'doi': None, 'title': 'Analysis and computation of a quadratic matrix polynomial with Schur-products and applications to the Barboy-Tenne model', 'display_name': 'Analysis and computation of a quadratic matrix polynomial with Schur-products and applications to the Barboy-Tenne model', 'publication_year': 2010, 'publication_date': '2010-01-01', 'ids': {'openalex': 'https://openalex.org/W650615000', 'mag': '650615000'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://scholarworks.rit.edu/cgi/viewcontent.cgi?article=5506&context=theses', 'pdf_url': None, 'source': None, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': [], '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/A5039683717', 'display_name': 'Carrie N. Lahnovych', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I155173764', 'display_name': 'Rochester Institute of Technology', 'ror': 'https://ror.org/00v4yb702', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I155173764']}], 'countries': ['US'], 'is_corresponding': True, 'raw_author_name': 'Carrie Lahnovych', 'raw_affiliation_strings': ['Rochester\xa0Institute\xa0of\xa0Technology'], 'affiliations': [{'raw_affiliation_string': 'Rochester\xa0Institute\xa0of\xa0Technology', 'institution_ids': ['https://openalex.org/I155173764']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5039683717'], 'corresponding_institution_ids': ['https://openalex.org/I155173764'], 'apc_list': None, 'apc_paid': None, 'fwci': 0.295, 'has_fulltext': False, 'cited_by_count': 1, 'citation_normalized_percentile': {'value': 0.407421, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 64, 'max': 71}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10792', 'display_name': 'Matrix Theory and Algorithms', 'score': 0.9785, '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'}}, 'topics': [{'id': 'https://openalex.org/T10792', 'display_name': 'Matrix Theory and Algorithms', 'score': 0.9785, '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/T10948', 'display_name': 'Advanced Combinatorial Mathematics', 'score': 0.947, 'subfield': {'id': 'https://openalex.org/subfields/2607', 'display_name': 'Discrete Mathematics and Combinatorics'}, '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/T12516', 'display_name': 'Advanced Mathematical Theories and Applications', 'score': 0.9444, 'subfield': {'id': 'https://openalex.org/subfields/3109', 'display_name': 'Statistical and Nonlinear Physics'}, 'field': {'id': 'https://openalex.org/fields/31', 'display_name': 'Physics and Astronomy'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/matrix', 'display_name': 'Matrix (chemical analysis)', 'score': 0.55795914}], 'concepts': [{'id': 'https://openalex.org/C129844170', 'wikidata': 'https://www.wikidata.org/wiki/Q41299', 'display_name': 'Quadratic equation', 'level': 2, 'score': 0.6617316}, {'id': 'https://openalex.org/C45374587', 'wikidata': 'https://www.wikidata.org/wiki/Q12525525', 'display_name': 'Computation', 'level': 2, 'score': 0.6009918}, {'id': 'https://openalex.org/C192209626', 'wikidata': 'https://www.wikidata.org/wiki/Q190909', 'display_name': 'Focus (optics)', 'level': 2, 'score': 0.57777715}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.57357365}, {'id': 'https://openalex.org/C106487976', 'wikidata': 'https://www.wikidata.org/wiki/Q685816', 'display_name': 'Matrix (chemical analysis)', 'level': 2, 'score': 0.55795914}, {'id': 'https://openalex.org/C90673727', 'wikidata': 'https://www.wikidata.org/wiki/Q901718', 'display_name': 'Product (mathematics)', 'level': 2, 'score': 0.5352066}, {'id': 'https://openalex.org/C90119067', 'wikidata': 'https://www.wikidata.org/wiki/Q43260', 'display_name': 'Polynomial', 'level': 2, 'score': 0.47313657}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.47091863}, {'id': 'https://openalex.org/C28826006', 'wikidata': 'https://www.wikidata.org/wiki/Q33521', 'display_name': 'Applied mathematics', 'level': 1, 'score': 0.4636902}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.38043544}, {'id': 'https://openalex.org/C11413529', 'wikidata': 'https://www.wikidata.org/wiki/Q8366', 'display_name': 'Algorithm', 'level': 1, 'score': 0.21878394}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.20011172}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.09446019}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.064231336}, {'id': 'https://openalex.org/C192562407', 'wikidata': 'https://www.wikidata.org/wiki/Q228736', 'display_name': 'Materials science', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C120665830', 'wikidata': 'https://www.wikidata.org/wiki/Q14620', 'display_name': 'Optics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C159985019', 'wikidata': 'https://www.wikidata.org/wiki/Q181790', 'display_name': 'Composite material', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://scholarworks.rit.edu/cgi/viewcontent.cgi?article=5506&context=theses', 'pdf_url': None, 'source': None, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 1, 'referenced_works': ['https://openalex.org/W2041064634'], 'related_works': ['https://openalex.org/W852930799', 'https://openalex.org/W644524006', 'https://openalex.org/W638376498', 'https://openalex.org/W614305353', 'https://openalex.org/W574197582', 'https://openalex.org/W51328905', 'https://openalex.org/W3106139507', 'https://openalex.org/W3037518298', 'https://openalex.org/W3030532257', 'https://openalex.org/W2962789909', 'https://openalex.org/W2950493470', 'https://openalex.org/W2740563568', 'https://openalex.org/W2376778258', 'https://openalex.org/W2183482687', 'https://openalex.org/W2054387954', 'https://openalex.org/W2009185855', 'https://openalex.org/W1987934215', 'https://openalex.org/W183099002', 'https://openalex.org/W1548362323', 'https://openalex.org/W1484373990'], 'abstract_inverted_index': {'Quadratic': [0], 'matrix': [1], 'polynomials': [2], 'of': [3, 35, 46, 58, 78], 'the': [4, 23, 27, 32, 44, 68, 76, 82], 'form': [5], 'Y': [6, 49], '2+τ': [7], '◦Y': [8], '=': [9], 'B+τ': [10], '◦C,': [11], 'where': [12], 'Y,': [13], 'τ,B,': [14], 'and': [15, 22, 51, 53, 74], 'C': [16], 'are': [17], 'real,': [18], 'symmetric': [19], '3x3': [20], 'matrices': [21], 'dot': [24], '◦': [25], 'denotes': [26], 'Schur': [28], 'product,': [29], 'arise': [30], 'in': [31, 70, 81], 'Barboy-Tenne': [33], 'equations': [34, 57, 69], 'statistical': [36], 'mechanics': [37], '[1].': [38], 'In': [39], 'this': [40, 59], 'paper': [41], 'we': [42], 'discuss': [43, 75], 'number': [45], 'solutions': [47], 'for': [48], ',': [50], 'devise': [52], 'implement': [54], 'algorithms': [55], 'solving': [56, 67], 'form.': [60], 'We': [61], 'will': [62], 'focus': [63], 'our': [64], 'attention': [65], 'on': [66], 'two': [71], 'specific': [72], 'cases': [73], 'existence': [77], 'a': [79], 'solution': [80], 'general': [83], 'case.': [84]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W650615000', 'counts_by_year': [{'year': 2012, 'cited_by_count': 1}], 'updated_date': '2024-12-16T12:00:44.868220', 'created_date': '2016-06-24'}