Publication Information

{'id': 'https://openalex.org/W1654107233', 'doi': 'https://doi.org/10.48550/arxiv.math/0404119', 'title': 'Generalized Reflection Coefficients in Toeplitz-Block-Toeplitz Matrix Case and Fast Inverse 2D levinson Algorithm', 'display_name': 'Generalized Reflection Coefficients in Toeplitz-Block-Toeplitz Matrix Case and Fast Inverse 2D levinson Algorithm', 'publication_year': 2004, 'publication_date': '2004-01-01', 'ids': {'openalex': 'https://openalex.org/W1654107233', 'doi': 'https://doi.org/10.48550/arxiv.math/0404119', 'mag': '1654107233'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/math/0404119', 'pdf_url': None, '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': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'type': 'preprint', 'type_crossref': 'posted-content', 'indexed_in': ['datacite'], 'open_access': {'is_oa': True, 'oa_status': 'green', 'oa_url': 'https://arxiv.org/abs/math/0404119', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5023592545', 'display_name': 'Rami Kanhouche', 'orcid': 'https://orcid.org/0000-0003-0012-9878'}, 'institutions': [{'id': 'https://openalex.org/I4210150889', 'display_name': 'Center for MathematicaL studies and their Applications', 'ror': 'https://ror.org/05pabaz56', 'country_code': 'FR', 'type': 'facility', 'lineage': ['https://openalex.org/I11559806', 'https://openalex.org/I1294671590', 'https://openalex.org/I277688954', 'https://openalex.org/I4210141950', 'https://openalex.org/I4210150889']}], 'countries': ['FR'], 'is_corresponding': True, 'raw_author_name': 'Rami Kanhouche', 'raw_affiliation_strings': ['Centre de Mathématiques et de Leurs Applications'], 'affiliations': [{'raw_affiliation_string': 'Centre de Mathématiques et de Leurs Applications', 'institution_ids': ['https://openalex.org/I4210150889']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5023592545'], 'corresponding_institution_ids': ['https://openalex.org/I4210150889'], 'apc_list': None, 'apc_paid': None, 'fwci': None, 'has_fulltext': False, 'cited_by_count': 2, 'citation_normalized_percentile': None, 'cited_by_percentile_year': {'min': 68, '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/T10739', 'display_name': 'Electromagnetic Scattering and Analysis', 'score': 0.9004, 'subfield': {'id': 'https://openalex.org/subfields/3107', 'display_name': 'Atomic and Molecular Physics, and Optics'}, 'field': {'id': 'https://openalex.org/fields/31', 'display_name': 'Physics and Astronomy'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T10739', 'display_name': 'Electromagnetic Scattering and Analysis', 'score': 0.9004, 'subfield': {'id': 'https://openalex.org/subfields/3107', 'display_name': 'Atomic and Molecular Physics, and Optics'}, '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/levinson-recursion', 'display_name': 'Levinson recursion', 'score': 0.927616}, {'id': 'https://openalex.org/keywords/matrix', 'display_name': 'Matrix (chemical analysis)', 'score': 0.5403246}, {'id': 'https://openalex.org/keywords/reflection', 'display_name': 'Reflection', 'score': 0.5198027}, {'id': 'https://openalex.org/keywords/block-matrix', 'display_name': 'Block matrix', 'score': 0.48853835}], 'concepts': [{'id': 'https://openalex.org/C147710293', 'wikidata': 'https://www.wikidata.org/wiki/Q849428', 'display_name': 'Toeplitz matrix', 'level': 2, 'score': 0.9706344}, {'id': 'https://openalex.org/C122212055', 'wikidata': 'https://www.wikidata.org/wiki/Q11679774', 'display_name': 'Levinson recursion', 'level': 3, 'score': 0.927616}, {'id': 'https://openalex.org/C207467116', 'wikidata': 'https://www.wikidata.org/wiki/Q4385666', 'display_name': 'Inverse', 'level': 2, 'score': 0.69606787}, {'id': 'https://openalex.org/C2777210771', 'wikidata': 'https://www.wikidata.org/wiki/Q4927124', 'display_name': 'Block (permutation group theory)', 'level': 2, 'score': 0.60053086}, {'id': 'https://openalex.org/C11413529', 'wikidata': 'https://www.wikidata.org/wiki/Q8366', 'display_name': 'Algorithm', 'level': 1, 'score': 0.5792607}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.5531906}, {'id': 'https://openalex.org/C106487976', 'wikidata': 'https://www.wikidata.org/wiki/Q685816', 'display_name': 'Matrix (chemical analysis)', 'level': 2, 'score': 0.5403246}, {'id': 'https://openalex.org/C65682993', 'wikidata': 'https://www.wikidata.org/wiki/Q1056451', 'display_name': 'Reflection (computer programming)', 'level': 2, 'score': 0.5198027}, {'id': 'https://openalex.org/C85817219', 'wikidata': 'https://www.wikidata.org/wiki/Q884772', 'display_name': 'Block matrix', 'level': 3, 'score': 0.48853835}, {'id': 'https://openalex.org/C28826006', 'wikidata': 'https://www.wikidata.org/wiki/Q33521', 'display_name': 'Applied mathematics', 'level': 1, 'score': 0.3208822}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.29709083}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.249421}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.2339235}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.09315905}, {'id': 'https://openalex.org/C158693339', 'wikidata': 'https://www.wikidata.org/wiki/Q190524', 'display_name': 'Eigenvalues and eigenvectors', 'level': 2, 'score': 0.08855042}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.08066276}, {'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/C199360897', 'wikidata': 'https://www.wikidata.org/wiki/Q9143', 'display_name': 'Programming language', '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/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 3, 'locations': [{'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/math/0404119', 'pdf_url': None, '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': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'https://hal.archives-ouvertes.fr/hal-00001420', 'pdf_url': 'https://hal.science/hal-00001420/document', 'source': {'id': 'https://openalex.org/S4306402512', 'display_name': 'HAL (Le Centre pour la Communication Scientifique Directe)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I1294671590', 'host_organization_name': 'Centre National de la Recherche Scientifique', 'host_organization_lineage': ['https://openalex.org/I1294671590'], 'host_organization_lineage_names': ['Centre National de la Recherche Scientifique'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': False, 'landing_page_url': 'https://api.datacite.org/dois/10.48550/arxiv.math/0404119', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4393179698', 'display_name': 'DataCite API', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I4210145204', 'host_organization_name': 'DataCite', 'host_organization_lineage': ['https://openalex.org/I4210145204'], 'host_organization_lineage_names': ['DataCite'], 'type': 'metadata'}, 'license': None, 'license_id': None, 'version': None}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/math/0404119', 'pdf_url': None, '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': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 6, 'referenced_works': ['https://openalex.org/W160573752', 'https://openalex.org/W1981417294', 'https://openalex.org/W2326591006', 'https://openalex.org/W2593498774', 'https://openalex.org/W2990598036', 'https://openalex.org/W91879035'], 'related_works': ['https://openalex.org/W2374553943', 'https://openalex.org/W2363270911', 'https://openalex.org/W2158178606', 'https://openalex.org/W2059885882', 'https://openalex.org/W2045714585', 'https://openalex.org/W1987843132', 'https://openalex.org/W1983688021', 'https://openalex.org/W1981369412', 'https://openalex.org/W1654107233', 'https://openalex.org/W1509857412'], 'abstract_inverted_index': {'A': [0, 49], 'factorization': [1], 'of': [2, 5, 22, 34], 'the': [3, 20, 39, 45], 'inverse': [4], 'a': [6, 13, 32], 'Hermetian': [7], 'positive': [8], 'definite': [9], 'matrix': [10, 47], 'based': [11], 'on': [12], 'diagonal': [14, 16], 'by': [15], 'recurrence': [17], 'formulae': [18], 'permits': [19], 'inversion': [21], 'Toeplitz': [23, 25], 'Block': [24], 'matrices': [26], 'using': [27], 'minimized': [28], 'matrix-vector': [29], 'products,': [30], 'with': [31], 'complexity': [33], '((n1)^3)((n2)^2),': [35], 'where': [36], 'n1': [37], 'is': [38, 44, 53], 'block': [40, 46], 'size,': [41], 'and': [42, 59], 'n2': [43], 'size.': [48], '2D': [50], 'levinson': [51], 'algorithm': [52], 'introduced': [54], 'that': [55], 'outperform': [56], 'Wittle,': [57], 'Wiggins': [58], 'Robinson': [60], 'Algorithm': [61]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W1654107233', 'counts_by_year': [{'year': 2018, 'cited_by_count': 1}], 'updated_date': '2024-12-23T09:39:29.263758', 'created_date': '2016-06-24'}