{"id":"https://openalex.org/W2541805425","doi":"https://doi.org/10.1007/s00211-016-0848-4","title":"Intrinsic representation of tangent vectors and vector transports on matrix manifolds","display_name":"Intrinsic representation of tangent vectors and vector transports on matrix manifolds","publication_year":2016,"publication_date":"2016-10-27","ids":{"openalex":"https://openalex.org/W2541805425","doi":"https://doi.org/10.1007/s00211-016-0848-4","mag":"2541805425"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-016-0848-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-016-0848-4","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100566827","display_name":"Wen Huang","orcid":"https://orcid.org/0000-0001-8324-2416"},"institutions":[{"id":"https://openalex.org/I74775410","display_name":"Rice University","ror":"https://ror.org/008zs3103","country_code":"US","type":"education","lineage":["https://openalex.org/I74775410"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Wen Huang","raw_affiliation_strings":["Department of Computational and Applied Mathematics, Rice University, 3087 Duncan Hall, 6100 Main St.-MS 134, Houston, TX, 77005-1892, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computational and Applied Mathematics, Rice University, 3087 Duncan Hall, 6100 Main St.-MS 134, Houston, TX, 77005-1892, USA","institution_ids":["https://openalex.org/I74775410"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075495386","display_name":"Pierre-Antoine Absil","orcid":null},"institutions":[{"id":"https://openalex.org/I95674353","display_name":"UCLouvain","ror":"https://ror.org/02495e989","country_code":"BE","type":"education","lineage":["https://openalex.org/I95674353"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"P.-A. Absil","raw_affiliation_strings":["Department of Mathematical Engineering, ICTEAM Institute, Universit\u00e9 catholique de Louvain, 1348, Louvain-la-Neuve, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Engineering, ICTEAM Institute, Universit\u00e9 catholique de Louvain, 1348, Louvain-la-Neuve, Belgium","institution_ids":["https://openalex.org/I95674353"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018426276","display_name":"Kyle A. Gallivan","orcid":"https://orcid.org/0000-0003-4572-4240"},"institutions":[{"id":"https://openalex.org/I103163165","display_name":"Florida State University","ror":"https://ror.org/05g3dte14","country_code":"US","type":"education","lineage":["https://openalex.org/I103163165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"K. A. Gallivan","raw_affiliation_strings":["Department of Mathematics, Florida State University, 208 Love Building, 1017 Academic Way, Tallahassee, FL, 32306-4510, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Florida State University, 208 Love Building, 1017 Academic Way, Tallahassee, FL, 32306-4510, USA","institution_ids":["https://openalex.org/I103163165"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100566827"],"corresponding_institution_ids":["https://openalex.org/I74775410"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":2.6607,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.88899605,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"136","issue":"2","first_page":"523","last_page":"543"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10514","display_name":"Numerical methods in engineering","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7765112519264221},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.6060629487037659},{"id":"https://openalex.org/keywords/tangent-space","display_name":"Tangent space","score":0.5970901846885681},{"id":"https://openalex.org/keywords/riemannian-manifold","display_name":"Riemannian manifold","score":0.5935174822807312},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.5773608684539795},{"id":"https://openalex.org/keywords/stiefel-manifold","display_name":"Stiefel manifold","score":0.5582181215286255},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.536492645740509},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.464507520198822},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.44681882858276367},{"id":"https://openalex.org/keywords/orthonormal-basis","display_name":"Orthonormal basis","score":0.43483930826187134},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4059201180934906},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3514380156993866},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2828429937362671},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1475454568862915}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7765112519264221},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.6060629487037659},{"id":"https://openalex.org/C157157409","wikidata":"https://www.wikidata.org/wiki/Q909601","display_name":"Tangent space","level":2,"score":0.5970901846885681},{"id":"https://openalex.org/C2779593128","wikidata":"https://www.wikidata.org/wiki/Q632814","display_name":"Riemannian manifold","level":2,"score":0.5935174822807312},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.5773608684539795},{"id":"https://openalex.org/C612670","wikidata":"https://www.wikidata.org/wiki/Q7616373","display_name":"Stiefel manifold","level":2,"score":0.5582181215286255},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.536492645740509},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.464507520198822},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.44681882858276367},{"id":"https://openalex.org/C5806529","wikidata":"https://www.wikidata.org/wiki/Q2365325","display_name":"Orthonormal basis","level":2,"score":0.43483930826187134},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4059201180934906},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3514380156993866},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2828429937362671},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1475454568862915},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","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},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00211-016-0848-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-016-0848-4","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-article"},{"id":"pmh:oai:dial.uclouvain.be:boreal:179397","is_oa":false,"landing_page_url":"http://hdl.handle.net/2078.1/179397","pdf_url":null,"source":{"id":"https://openalex.org/S4306400166","display_name":"Digital Access to Libraries","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2800384882","host_organization_name":"Harris County Public Library","host_organization_lineage":["https://openalex.org/I2800384882"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Numerische Mathematik, Vol. 136, no. 2, p. 523-543 (27 october 2016)","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1480928214","https://openalex.org/W1628278711","https://openalex.org/W1679203207","https://openalex.org/W1730255663","https://openalex.org/W1804110266","https://openalex.org/W1855068118","https://openalex.org/W1897112063","https://openalex.org/W1964176378","https://openalex.org/W1972710290","https://openalex.org/W1974766144","https://openalex.org/W1985123706","https://openalex.org/W2006571925","https://openalex.org/W2020781868","https://openalex.org/W2026892575","https://openalex.org/W2028324955","https://openalex.org/W2028737999","https://openalex.org/W2045512849","https://openalex.org/W2058078260","https://openalex.org/W2079354271","https://openalex.org/W2110662303","https://openalex.org/W2122796095","https://openalex.org/W2133323250","https://openalex.org/W2145179194","https://openalex.org/W2149338181","https://openalex.org/W2150386905","https://openalex.org/W2225449929","https://openalex.org/W2460336029","https://openalex.org/W2465585463","https://openalex.org/W2798909945","https://openalex.org/W2962777248","https://openalex.org/W3029645440","https://openalex.org/W3098671196","https://openalex.org/W3103516706","https://openalex.org/W3104060928","https://openalex.org/W3104868231","https://openalex.org/W4205293427","https://openalex.org/W4229666556","https://openalex.org/W4239406391"],"related_works":["https://openalex.org/W1521148900","https://openalex.org/W2126146080","https://openalex.org/W2021661079","https://openalex.org/W8105021","https://openalex.org/W3105578323","https://openalex.org/W4287259156","https://openalex.org/W2013051270","https://openalex.org/W4287783587","https://openalex.org/W3023902066","https://openalex.org/W4353007326"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2016-11-04T00:00:00"}