{"id":"https://openalex.org/W2042396553","doi":"https://doi.org/10.1007/s00211-005-0622-5","title":"Preconditioning Landweber iteration in Hilbert scales","display_name":"Preconditioning Landweber iteration in Hilbert scales","publication_year":2005,"publication_date":"2005-08-09","ids":{"openalex":"https://openalex.org/W2042396553","doi":"https://doi.org/10.1007/s00211-005-0622-5","mag":"2042396553"},"language":"de","primary_location":{"id":"doi:10.1007/s00211-005-0622-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-005-0622-5","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/A5069912765","display_name":"Herbert Egger","orcid":"https://orcid.org/0000-0003-3769-8791"},"institutions":[{"id":"https://openalex.org/I4210158379","display_name":"Johann Radon Institute for Computational and Applied Mathematics","ror":"https://ror.org/05a94k872","country_code":"AT","type":"facility","lineage":["https://openalex.org/I138211613","https://openalex.org/I4210158379"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Herbert Egger","raw_affiliation_strings":["Johann Radon Institute for Computational and Applied Mathematics, 4040 Linz, Austria","Johann Radon Institute for Computational and Applied Mathematics, Austria 4040 Linz#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Johann Radon Institute for Computational and Applied Mathematics, 4040 Linz, Austria","institution_ids":["https://openalex.org/I4210158379"]},{"raw_affiliation_string":"Johann Radon Institute for Computational and Applied Mathematics, Austria 4040 Linz#TAB#","institution_ids":["https://openalex.org/I4210158379"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040103244","display_name":"Andreas B. Neubauer","orcid":"https://orcid.org/0000-0003-0515-1126"},"institutions":[{"id":"https://openalex.org/I121883995","display_name":"Johannes Kepler University of Linz","ror":"https://ror.org/052r2xn60","country_code":"AT","type":"education","lineage":["https://openalex.org/I121883995"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Andreas Neubauer","raw_affiliation_strings":["Industrial Mathematics Institute, Johannes Kepler University, 4040 Linz, Austria","Industrial Mathematics Institute, Johannes Kepler University, Austria 4040 Linz#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Industrial Mathematics Institute, Johannes Kepler University, 4040 Linz, Austria","institution_ids":["https://openalex.org/I121883995"]},{"raw_affiliation_string":"Industrial Mathematics Institute, Johannes Kepler University, Austria 4040 Linz#TAB#","institution_ids":["https://openalex.org/I121883995"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":8.6709,"has_fulltext":false,"cited_by_count":80,"citation_normalized_percentile":{"value":0.98754613,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"101","issue":"4","first_page":"643","last_page":"662"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":1.0,"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/T11565","display_name":"Thermoelastic and Magnetoelastic Phenomena","score":0.989300012588501,"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"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9872000217437744,"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/mathematics","display_name":"Mathematics","score":0.8095871210098267},{"id":"https://openalex.org/keywords/tikhonov-regularization","display_name":"Tikhonov regularization","score":0.7979569435119629},{"id":"https://openalex.org/keywords/preconditioner","display_name":"Preconditioner","score":0.7634207606315613},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.6680213212966919},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5559605360031128},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.5153829455375671},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.43682873249053955},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.42753395438194275},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.41613611578941345},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35611313581466675},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.33274179697036743},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2652423083782196},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11637324094772339}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8095871210098267},{"id":"https://openalex.org/C152442038","wikidata":"https://www.wikidata.org/wiki/Q2778212","display_name":"Tikhonov regularization","level":3,"score":0.7979569435119629},{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.7634207606315613},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.6680213212966919},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5559605360031128},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.5153829455375671},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.43682873249053955},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.42753395438194275},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.41613611578941345},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35611313581466675},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.33274179697036743},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2652423083782196},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11637324094772339},{"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00211-005-0622-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-005-0622-5","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Zero hunger","score":0.5199999809265137,"id":"https://metadata.un.org/sdg/2"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W114314968","https://openalex.org/W632547247","https://openalex.org/W1570089119","https://openalex.org/W1977617358","https://openalex.org/W1988645098","https://openalex.org/W1989436614","https://openalex.org/W2003324232","https://openalex.org/W2011178292","https://openalex.org/W2012940123","https://openalex.org/W2058583833","https://openalex.org/W2060819023","https://openalex.org/W2080838153","https://openalex.org/W2080888649","https://openalex.org/W2124471636","https://openalex.org/W2488968130","https://openalex.org/W4292232969","https://openalex.org/W4299416517","https://openalex.org/W4302819252"],"related_works":["https://openalex.org/W2749105521","https://openalex.org/W140737605","https://openalex.org/W2360343897","https://openalex.org/W2564453433","https://openalex.org/W3188213007","https://openalex.org/W2374214022","https://openalex.org/W1947575127","https://openalex.org/W4285325102","https://openalex.org/W2029137001","https://openalex.org/W376746440"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":4}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}