{"id":"https://openalex.org/W1976986637","doi":"https://doi.org/10.1007/s00607-002-1469-6","title":"Adaptive Low-Rank Approximation of Collocation Matrices","display_name":"Adaptive Low-Rank Approximation of Collocation Matrices","publication_year":2003,"publication_date":"2003-02-01","ids":{"openalex":"https://openalex.org/W1976986637","doi":"https://doi.org/10.1007/s00607-002-1469-6","mag":"1976986637"},"language":"en","primary_location":{"id":"doi:10.1007/s00607-002-1469-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00607-002-1469-6","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.22028/d291-26177","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064337181","display_name":"Mario Bebendorf","orcid":null},"institutions":[{"id":"https://openalex.org/I149899117","display_name":"Max Planck Society","ror":"https://ror.org/01hhn8329","country_code":"DE","type":"nonprofit","lineage":["https://openalex.org/I149899117"]},{"id":"https://openalex.org/I4210091327","display_name":"Max Planck Institute for Mathematics in the Sciences","ror":"https://ror.org/00ez2he07","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210091327"]},{"id":"https://openalex.org/I4210119712","display_name":"Max Planck Institute for Mathematics","ror":"https://ror.org/02dh8ja68","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210119712"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"M. Bebendorf","raw_affiliation_strings":["Max-Planck-Institute for Mathematics in the Sciences Inselstra\u00dfe 22\u201326 04103 Leipzig, Germany e-mail: bebendorf@mis.mpg.de, , , , , , DE","Max\u2010Planck\u2010Institute for Mathematics in the Sciences, Inselstra\u00dfe 22\u201026, 04103 Leipzig, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Max-Planck-Institute for Mathematics in the Sciences Inselstra\u00dfe 22\u201326 04103 Leipzig, Germany e-mail: bebendorf@mis.mpg.de, , , , , , DE","institution_ids":["https://openalex.org/I4210091327","https://openalex.org/I4210119712"]},{"raw_affiliation_string":"Max\u2010Planck\u2010Institute for Mathematics in the Sciences, Inselstra\u00dfe 22\u201026, 04103 Leipzig, Germany","institution_ids":["https://openalex.org/I149899117"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007902275","display_name":"Sergej Rjasanow","orcid":"https://orcid.org/0000-0002-6646-230X"},"institutions":[{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"S. Rjasanow","raw_affiliation_strings":["Fachrichtung 6.1 \u2013 Mathematik, Universit\u00e4t des Saarlandes `Postfach 151150 66041 Saarbr\u00fccken, Germany e-mail: rjasanow@num.uni-sb.de, , , , , , DE","Fachrichtung 6.1 - Mathematik, Universit\u00e4t des Saarlandes, Postfach 151150, 66041 Saarbr\u00fccken, Germany#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fachrichtung 6.1 \u2013 Mathematik, Universit\u00e4t des Saarlandes `Postfach 151150 66041 Saarbr\u00fccken, Germany e-mail: rjasanow@num.uni-sb.de, , , , , , DE","institution_ids":["https://openalex.org/I91712215"]},{"raw_affiliation_string":"Fachrichtung 6.1 - Mathematik, Universit\u00e4t des Saarlandes, Postfach 151150, 66041 Saarbr\u00fccken, Germany#TAB#","institution_ids":["https://openalex.org/I91712215"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3290,"currency":"USD","value_usd":3290},"apc_paid":null,"fwci":12.0469,"has_fulltext":false,"cited_by_count":524,"citation_normalized_percentile":{"value":0.99312895,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"70","issue":"1","first_page":"1","last_page":"24"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9994999766349792,"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":0.9994999766349792,"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"}},{"id":"https://openalex.org/T11946","display_name":"Antenna Design and Optimization","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"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/T13121","display_name":"Radio Wave Propagation Studies","score":0.9940999746322632,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"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/collocation","display_name":"Collocation (remote sensing)","score":0.7199692726135254},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6323723793029785},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.6308481693267822},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.6223604679107666},{"id":"https://openalex.org/keywords/collocation-method","display_name":"Collocation method","score":0.5400406122207642},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.5269233584403992},{"id":"https://openalex.org/keywords/low-rank-approximation","display_name":"Low-rank approximation","score":0.507689356803894},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44071489572525024},{"id":"https://openalex.org/keywords/fast-multipole-method","display_name":"Fast multipole method","score":0.4237609803676605},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3941936790943146},{"id":"https://openalex.org/keywords/multipole-expansion","display_name":"Multipole expansion","score":0.3429397642612457},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22882306575775146},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2007819414138794},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.18706831336021423},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.0964413583278656},{"id":"https://openalex.org/keywords/hankel-matrix","display_name":"Hankel matrix","score":0.07953384518623352}],"concepts":[{"id":"https://openalex.org/C80023036","wikidata":"https://www.wikidata.org/wiki/Q5147531","display_name":"Collocation (remote sensing)","level":2,"score":0.7199692726135254},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6323723793029785},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.6308481693267822},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.6223604679107666},{"id":"https://openalex.org/C2126413","wikidata":"https://www.wikidata.org/wiki/Q1779479","display_name":"Collocation method","level":4,"score":0.5400406122207642},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5269233584403992},{"id":"https://openalex.org/C90199385","wikidata":"https://www.wikidata.org/wiki/Q6692777","display_name":"Low-rank approximation","level":3,"score":0.507689356803894},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44071489572525024},{"id":"https://openalex.org/C135115559","wikidata":"https://www.wikidata.org/wiki/Q5437040","display_name":"Fast multipole method","level":3,"score":0.4237609803676605},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3941936790943146},{"id":"https://openalex.org/C52765159","wikidata":"https://www.wikidata.org/wiki/Q1027847","display_name":"Multipole expansion","level":2,"score":0.3429397642612457},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22882306575775146},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2007819414138794},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.18706831336021423},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.0964413583278656},{"id":"https://openalex.org/C25023664","wikidata":"https://www.wikidata.org/wiki/Q1575637","display_name":"Hankel matrix","level":2,"score":0.07953384518623352},{"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},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s00607-002-1469-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00607-002-1469-6","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"Computing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.133.182","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.133.182","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.sam.math.ethz.ch/~hiptmair/Seminars/HMAT/Papers/BER03.pdf","raw_type":"text"},{"id":"pmh:oai:eref.uni-bayreuth.de:8188","is_oa":false,"landing_page_url":"https://eref.uni-bayreuth.de/8188/","pdf_url":null,"source":{"id":"https://openalex.org/S4377196442","display_name":"ERef Bayreuth (University of Bayreuth)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I54009628","host_organization_name":"University of Bayreuth","host_organization_lineage":["https://openalex.org/I54009628"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Artikel in einer Zeitschrift"},{"id":"doi:10.22028/d291-26177","is_oa":true,"landing_page_url":"https://doi.org/10.22028/d291-26177","pdf_url":null,"source":{"id":"https://openalex.org/S4377196499","display_name":"Publications of the UdS (Saarland University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I91712215","host_organization_name":"Saarland University","host_organization_lineage":["https://openalex.org/I91712215"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Collection"}],"best_oa_location":{"id":"doi:10.22028/d291-26177","is_oa":true,"landing_page_url":"https://doi.org/10.22028/d291-26177","pdf_url":null,"source":{"id":"https://openalex.org/S4377196499","display_name":"Publications of the UdS (Saarland University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I91712215","host_organization_name":"Saarland University","host_organization_lineage":["https://openalex.org/I91712215"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Collection"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1569304948","https://openalex.org/W1591870827","https://openalex.org/W1968376936","https://openalex.org/W1989056711","https://openalex.org/W2018419001","https://openalex.org/W2069883496","https://openalex.org/W2078465266","https://openalex.org/W2105457849","https://openalex.org/W2124731951","https://openalex.org/W2156164638","https://openalex.org/W2478572125","https://openalex.org/W4242447598","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1822333417","https://openalex.org/W2952819168","https://openalex.org/W2158582466","https://openalex.org/W2076771790","https://openalex.org/W3105194265","https://openalex.org/W599820626","https://openalex.org/W2110314974","https://openalex.org/W47721382","https://openalex.org/W2034268890","https://openalex.org/W2125081029"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":9},{"year":2025,"cited_by_count":16},{"year":2024,"cited_by_count":29},{"year":2023,"cited_by_count":29},{"year":2022,"cited_by_count":17},{"year":2021,"cited_by_count":23},{"year":2020,"cited_by_count":20},{"year":2019,"cited_by_count":33},{"year":2018,"cited_by_count":24},{"year":2017,"cited_by_count":34},{"year":2016,"cited_by_count":24},{"year":2015,"cited_by_count":21},{"year":2014,"cited_by_count":33},{"year":2013,"cited_by_count":27},{"year":2012,"cited_by_count":17}],"updated_date":"2026-08-28T12:50:07.497085","created_date":"2025-10-10T00:00:00"}