{"id":"https://openalex.org/W1500190483","doi":"https://doi.org/10.1007/bf02242018","title":"A geometric approach for computing a posteriori error bounds for the solution of a linear system","display_name":"A geometric approach for computing a posteriori error bounds for the solution of a linear system","publication_year":1991,"publication_date":"1991-03-01","ids":{"openalex":"https://openalex.org/W1500190483","doi":"https://doi.org/10.1007/bf02242018","mag":"1500190483"},"language":"en","primary_location":{"id":"doi:10.1007/bf02242018","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02242018","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"],"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/A5010637941","display_name":"Christian Jansson","orcid":null},"institutions":[{"id":"https://openalex.org/I884043246","display_name":"Hamburg University of Technology","ror":"https://ror.org/04bs1pb34","country_code":"DE","type":"education","lineage":["https://openalex.org/I884043246"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"C. Jansson","raw_affiliation_strings":["Informatik III, Technische Universit\u00e4t, Ei\u00dfendorfer Stra\u00dfe 38, D-W-2100, Hamburg-Harburg 90, Federal Republic of Germany","Informatik III, Technische Universit\u00e4t, Hamburg-Harburg 90, Federal Republic of Germany"],"affiliations":[{"raw_affiliation_string":"Informatik III, Technische Universit\u00e4t, Ei\u00dfendorfer Stra\u00dfe 38, D-W-2100, Hamburg-Harburg 90, Federal Republic of Germany","institution_ids":["https://openalex.org/I884043246"]},{"raw_affiliation_string":"Informatik III, Technische Universit\u00e4t, Hamburg-Harburg 90, Federal Republic of Germany","institution_ids":["https://openalex.org/I884043246"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5010637941"],"corresponding_institution_ids":["https://openalex.org/I884043246"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":2.0532,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.85011384,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"47","issue":"1","first_page":"1","last_page":"9"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9998999834060669,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9976000189781189,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9973999857902527,"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/polyhedron","display_name":"Polyhedron","score":0.7481374144554138},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.6249587535858154},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.6104958653450012},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5999082326889038},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5699008107185364},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.450729101896286},{"id":"https://openalex.org/keywords/geometric-modeling","display_name":"Geometric modeling","score":0.4354246258735657},{"id":"https://openalex.org/keywords/error-analysis","display_name":"Error analysis","score":0.43421176075935364},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3640793263912201},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3506506681442261},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.18365997076034546},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15470993518829346}],"concepts":[{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.7481374144554138},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.6249587535858154},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6104958653450012},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5999082326889038},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5699008107185364},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.450729101896286},{"id":"https://openalex.org/C104065381","wikidata":"https://www.wikidata.org/wiki/Q1002535","display_name":"Geometric modeling","level":2,"score":0.4354246258735657},{"id":"https://openalex.org/C3018824978","wikidata":"https://www.wikidata.org/wiki/Q2894891","display_name":"Error analysis","level":2,"score":0.43421176075935364},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3640793263912201},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3506506681442261},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.18365997076034546},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15470993518829346},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/bf02242018","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02242018","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:tore.tuhh.de:11420/9478","is_oa":false,"landing_page_url":"http://hdl.handle.net/11420/9478","pdf_url":null,"source":{"id":"https://openalex.org/S4306401751","display_name":"tub.dok (Hamburg University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I884043246","host_organization_name":"Hamburg University of Technology","host_organization_lineage":["https://openalex.org/I884043246"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W43662563","https://openalex.org/W603961498","https://openalex.org/W1483874187","https://openalex.org/W1494436834","https://openalex.org/W1532036648","https://openalex.org/W1579678295","https://openalex.org/W1580809199","https://openalex.org/W1588000771","https://openalex.org/W1605702526","https://openalex.org/W2021195736","https://openalex.org/W2051040804","https://openalex.org/W2060924166","https://openalex.org/W2079802323","https://openalex.org/W2478030348"],"related_works":["https://openalex.org/W2971340537","https://openalex.org/W1584292662","https://openalex.org/W2046210743","https://openalex.org/W2030136392","https://openalex.org/W1857475410","https://openalex.org/W1511346678","https://openalex.org/W2797788337","https://openalex.org/W2180445142","https://openalex.org/W2738111169","https://openalex.org/W2951184467"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}