Publication Information

{'id': 'https://openalex.org/W3007224580', 'doi': 'https://doi.org/10.24193/fpt-ro.2023.1.16', 'title': 'Scaled fixed point algorithm for computing the matrix square root', 'display_name': 'Scaled fixed point algorithm for computing the matrix square root', 'publication_year': 2023, 'publication_date': '2023-02-01', 'ids': {'openalex': 'https://openalex.org/W3007224580', 'doi': 'https://doi.org/10.24193/fpt-ro.2023.1.16', 'mag': '3007224580'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.24193/fpt-ro.2023.1.16', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S69602258', 'display_name': 'Fixed Point Theory', 'issn_l': '1583-5022', 'issn': ['1583-5022', '2066-9208'], 'is_oa': True, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310314576', 'host_organization_name': 'Babeș-Bolyai University', 'host_organization_lineage': ['https://openalex.org/P4310314576'], 'host_organization_lineage_names': ['Babeș-Bolyai University'], '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': True, 'oa_status': 'green', 'oa_url': 'http://arxiv.org/pdf/2002.08471', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5076877848', 'display_name': 'Harry Oviedo', 'orcid': 'https://orcid.org/0000-0001-9139-0881'}, 'institutions': [{'id': 'https://openalex.org/I124618812', 'display_name': 'Mathematics Research Center', 'ror': 'https://ror.org/02nhmp827', 'country_code': 'MX', 'type': 'facility', 'lineage': ['https://openalex.org/I124618812']}], 'countries': ['MX'], 'is_corresponding': False, 'raw_author_name': 'Harry Oviedo', 'raw_affiliation_strings': ['Centro de Investigacion en Matemáticas'], 'affiliations': [{'raw_affiliation_string': 'Centro de Investigacion en Matemáticas', 'institution_ids': ['https://openalex.org/I124618812']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5112241393', 'display_name': 'Hugo Lara', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I4104125', 'display_name': 'Universidade Federal de Santa Catarina', 'ror': 'https://ror.org/041akq887', 'country_code': 'BR', 'type': 'education', 'lineage': ['https://openalex.org/I4104125']}], 'countries': ['BR'], 'is_corresponding': False, 'raw_author_name': 'Hugo Lara', 'raw_affiliation_strings': ['UNIVERSIDADE FEDERAL DE SANTA CATARINA'], 'affiliations': [{'raw_affiliation_string': 'UNIVERSIDADE FEDERAL DE SANTA CATARINA', 'institution_ids': ['https://openalex.org/I4104125']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5011342780', 'display_name': 'Oscar Dalmau', 'orcid': 'https://orcid.org/0000-0002-1828-8458'}, 'institutions': [{'id': 'https://openalex.org/I124618812', 'display_name': 'Mathematics Research Center', 'ror': 'https://ror.org/02nhmp827', 'country_code': 'MX', 'type': 'facility', 'lineage': ['https://openalex.org/I124618812']}], 'countries': ['MX'], 'is_corresponding': False, 'raw_author_name': 'Oscar Dalmau', 'raw_affiliation_strings': ['Centro de Investigacion en Matemáticas'], 'affiliations': [{'raw_affiliation_string': 'Centro de Investigacion en Matemáticas', 'institution_ids': ['https://openalex.org/I124618812']}]}], 'institution_assertions': [], 'countries_distinct_count': 2, 'institutions_distinct_count': 2, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 0.0, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 0, 'citation_normalized_percentile': {'value': 0.0, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 0, 'max': 67}, 'biblio': {'volume': '24', 'issue': '1', 'first_page': '295', 'last_page': '308'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10963', 'display_name': 'Advanced Optimization Algorithms Research', 'score': 0.9993, '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': 'Advanced Optimization Algorithms Research', 'score': 0.9993, '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 Theory and Algorithms', 'score': 0.999, '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/T11697', 'display_name': 'Numerical Methods and Algorithms', 'score': 0.9964, '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/root', 'display_name': 'Root (linguistics)', 'score': 0.62414676}, {'id': 'https://openalex.org/keywords/square-root', 'display_name': 'Square root', 'score': 0.6172177}, {'id': 'https://openalex.org/keywords/matrix', 'display_name': 'Matrix (chemical analysis)', 'score': 0.53771496}, {'id': 'https://openalex.org/keywords/square', 'display_name': 'Square (algebra)', 'score': 0.4847586}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.7495961}, {'id': 'https://openalex.org/C171078966', 'wikidata': 'https://www.wikidata.org/wiki/Q111029', 'display_name': 'Root (linguistics)', 'level': 2, 'score': 0.62414676}, {'id': 'https://openalex.org/C11577676', 'wikidata': 'https://www.wikidata.org/wiki/Q134237', 'display_name': 'Square root', 'level': 2, 'score': 0.6172177}, {'id': 'https://openalex.org/C106487976', 'wikidata': 'https://www.wikidata.org/wiki/Q685816', 'display_name': 'Matrix (chemical analysis)', 'level': 2, 'score': 0.53771496}, {'id': 'https://openalex.org/C28719098', 'wikidata': 'https://www.wikidata.org/wiki/Q44946', 'display_name': 'Point (geometry)', 'level': 2, 'score': 0.49394113}, {'id': 'https://openalex.org/C135692309', 'wikidata': 'https://www.wikidata.org/wiki/Q111124', 'display_name': 'Square (algebra)', 'level': 2, 'score': 0.4847586}, {'id': 'https://openalex.org/C61445026', 'wikidata': 'https://www.wikidata.org/wiki/Q217608', 'display_name': 'Fixed point', 'level': 2, 'score': 0.47963244}, {'id': 'https://openalex.org/C11413529', 'wikidata': 'https://www.wikidata.org/wiki/Q8366', 'display_name': 'Algorithm', 'level': 1, 'score': 0.45706904}, {'id': 'https://openalex.org/C69044650', 'wikidata': 'https://www.wikidata.org/wiki/Q2739329', 'display_name': 'Square matrix', 'level': 4, 'score': 0.43815404}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.3562463}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.12618467}, {'id': 'https://openalex.org/C54848796', 'wikidata': 'https://www.wikidata.org/wiki/Q339011', 'display_name': 'Symmetric matrix', 'level': 3, 'score': 0.09164134}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.084991425}, {'id': 'https://openalex.org/C138885662', 'wikidata': 'https://www.wikidata.org/wiki/Q5891', 'display_name': 'Philosophy', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C41895202', 'wikidata': 'https://www.wikidata.org/wiki/Q8162', 'display_name': 'Linguistics', 'level': 1, 'score': 0.0}, {'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/C159985019', 'wikidata': 'https://www.wikidata.org/wiki/Q181790', 'display_name': 'Composite material', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C158693339', 'wikidata': 'https://www.wikidata.org/wiki/Q190524', 'display_name': 'Eigenvalues and eigenvectors', 'level': 2, '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/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 2, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.24193/fpt-ro.2023.1.16', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S69602258', 'display_name': 'Fixed Point Theory', 'issn_l': '1583-5022', 'issn': ['1583-5022', '2066-9208'], 'is_oa': True, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310314576', 'host_organization_name': 'Babeș-Bolyai University', 'host_organization_lineage': ['https://openalex.org/P4310314576'], 'host_organization_lineage_names': ['Babeș-Bolyai University'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'http://arxiv.org/abs/2002.08471', 'pdf_url': 'http://arxiv.org/pdf/2002.08471', 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (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': 'http://arxiv.org/abs/2002.08471', 'pdf_url': 'http://arxiv.org/pdf/2002.08471', 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (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}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 20, 'referenced_works': ['https://openalex.org/W1483804921', 'https://openalex.org/W1826072219', 'https://openalex.org/W1974386380', 'https://openalex.org/W2001515960', 'https://openalex.org/W2012564502', 'https://openalex.org/W2013011196', 'https://openalex.org/W2074763854', 'https://openalex.org/W2119513700', 'https://openalex.org/W2126423185', 'https://openalex.org/W2149454052', 'https://openalex.org/W2462905479', 'https://openalex.org/W2556460356', 'https://openalex.org/W2789764089', 'https://openalex.org/W2963005886', 'https://openalex.org/W2963228395', 'https://openalex.org/W2963532276', 'https://openalex.org/W2964218587', 'https://openalex.org/W4248717309', 'https://openalex.org/W562922095', 'https://openalex.org/W82829561'], 'related_works': ['https://openalex.org/W933873750', 'https://openalex.org/W3120038327', 'https://openalex.org/W3029623871', 'https://openalex.org/W2730547410', 'https://openalex.org/W2217961521', 'https://openalex.org/W2171562370', 'https://openalex.org/W2001134355', 'https://openalex.org/W1595735471', 'https://openalex.org/W1561772133', 'https://openalex.org/W113971542'], 'abstract_inverted_index': {'This': [0], 'paper': [1], 'addresses': [2], 'the': [3, 7, 19, 62, 69], 'numerical': [4, 55], 'solution': [5], 'of': [6, 73], 'matrix': [8, 21, 40, 46], 'square': [9], 'root': [10], 'problem.Two': [11], 'fixed': [12], 'point': [13], 'iterations': [14], 'are': [15], 'proposed': [16], 'by': [17], 'rearranging': [18], 'nonlinear': [20], 'equation': [22], 'A': [23], '-X': [24], '2': [25], '=': [26], '0': [27], 'and': [28, 42, 71], 'incorporating': [29], 'a': [30], 'positive': [31], 'scaling': [32], 'parameter.The': [33], 'proposals': [34], 'only': [35], 'need': [36], 'to': [37], 'compute': [38], 'one': [39], 'inverse': [41], 'at': [43], 'most': [44], 'two': [45], 'multiplications': [47], 'per': [48], 'iteration.A': [49], 'global': [50], 'convergence': [51], 'result': [52], 'is': [53], 'established.The': [54], 'comparisons': [56], 'versus': [57], 'some': [58], 'existing': [59], 'methods': [60], 'from': [61], 'literature,': [63], 'on': [64], 'several': [65], 'test': [66], 'problems,': [67], 'demonstrate': [68], 'efficiency': [70], 'effectiveness': [72], 'our': [74], 'proposals.': [75]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W3007224580', 'counts_by_year': [], 'updated_date': '2025-01-09T09:23:44.350761', 'created_date': '2020-03-06'}