{"id":"https://openalex.org/W1577161553","doi":"https://doi.org/10.1016/s0169-7161(05)80133-6","title":"9 Numerical aspects of solving linear least squares problems","display_name":"9 Numerical aspects of solving linear least squares problems","publication_year":1993,"publication_date":"1993-01-01","ids":{"openalex":"https://openalex.org/W1577161553","doi":"https://doi.org/10.1016/s0169-7161(05)80133-6","mag":"1577161553"},"language":"en","primary_location":{"id":"doi:10.1016/s0169-7161(05)80133-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0169-7161(05)80133-6","pdf_url":null,"source":{"id":"https://openalex.org/S44500590","display_name":"Handbook of statistics","issn_l":"0169-7161","issn":["0169-7161","1875-7448"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Handbook of Statistics","raw_type":"book-chapter"},"type":"book-chapter","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/A5111535733","display_name":"Jesse L. Barlow","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Jesse L. Barlow","raw_affiliation_strings":["School of Electrical Engineering and Computer Science"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Computer Science","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5111535733"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.20831365,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"303","last_page":"376"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9987000226974487,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9987000226974487,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9926000237464905,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.984000027179718,"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/rounding","display_name":"Rounding","score":0.8872298002243042},{"id":"https://openalex.org/keywords/round-off-error","display_name":"Round-off error","score":0.847066342830658},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5535681843757629},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5160369873046875},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.505251944065094},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.4822967052459717},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.470478355884552},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.46507617831230164},{"id":"https://openalex.org/keywords/floating-point","display_name":"Floating point","score":0.4307587742805481},{"id":"https://openalex.org/keywords/error-analysis","display_name":"Error analysis","score":0.42036187648773193},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40706315636634827},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36574622988700867},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36109060049057007},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.127913236618042}],"concepts":[{"id":"https://openalex.org/C136625980","wikidata":"https://www.wikidata.org/wiki/Q663208","display_name":"Rounding","level":2,"score":0.8872298002243042},{"id":"https://openalex.org/C61005703","wikidata":"https://www.wikidata.org/wiki/Q2145211","display_name":"Round-off error","level":2,"score":0.847066342830658},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5535681843757629},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5160369873046875},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.505251944065094},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.4822967052459717},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.470478355884552},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.46507617831230164},{"id":"https://openalex.org/C84211073","wikidata":"https://www.wikidata.org/wiki/Q117879","display_name":"Floating point","level":2,"score":0.4307587742805481},{"id":"https://openalex.org/C3018824978","wikidata":"https://www.wikidata.org/wiki/Q2894891","display_name":"Error analysis","level":2,"score":0.42036187648773193},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40706315636634827},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36574622988700867},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36109060049057007},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.127913236618042},{"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0169-7161(05)80133-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0169-7161(05)80133-6","pdf_url":null,"source":{"id":"https://openalex.org/S44500590","display_name":"Handbook of statistics","issn_l":"0169-7161","issn":["0169-7161","1875-7448"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Handbook of Statistics","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":131,"referenced_works":["https://openalex.org/W132318879","https://openalex.org/W141418607","https://openalex.org/W157966697","https://openalex.org/W187894598","https://openalex.org/W196384534","https://openalex.org/W275466909","https://openalex.org/W658559791","https://openalex.org/W1485398277","https://openalex.org/W1493039317","https://openalex.org/W1501357369","https://openalex.org/W1512243664","https://openalex.org/W1521023302","https://openalex.org/W1537902736","https://openalex.org/W1563400926","https://openalex.org/W1580809199","https://openalex.org/W1588000771","https://openalex.org/W1590879322","https://openalex.org/W1599533721","https://openalex.org/W1821524252","https://openalex.org/W1854226152","https://openalex.org/W1965664474","https://openalex.org/W1966541833","https://openalex.org/W1968162948","https://openalex.org/W1970038931","https://openalex.org/W1970128761","https://openalex.org/W1970956612","https://openalex.org/W1971013425","https://openalex.org/W1971535575","https://openalex.org/W1971662204","https://openalex.org/W1972455278","https://openalex.org/W1976979589","https://openalex.org/W1977685916","https://openalex.org/W1977697902","https://openalex.org/W1977803797","https://openalex.org/W1981031390","https://openalex.org/W1981943156","https://openalex.org/W1982143352","https://openalex.org/W1984223936","https://openalex.org/W1985050508","https://openalex.org/W1988425770","https://openalex.org/W1989314419","https://openalex.org/W1991352052","https://openalex.org/W1995180166","https://openalex.org/W1995393679","https://openalex.org/W1995854415","https://openalex.org/W1996369530","https://openalex.org/W2003670573","https://openalex.org/W2005423095","https://openalex.org/W2008205484","https://openalex.org/W2009323476","https://openalex.org/W2009867667","https://openalex.org/W2010464263","https://openalex.org/W2010634113","https://openalex.org/W2013333913","https://openalex.org/W2013737143","https://openalex.org/W2016182223","https://openalex.org/W2017641901","https://openalex.org/W2024558657","https://openalex.org/W2026685536","https://openalex.org/W2028535383","https://openalex.org/W2029307531","https://openalex.org/W2029745051","https://openalex.org/W2030255580","https://openalex.org/W2035881097","https://openalex.org/W2035885121","https://openalex.org/W2036172929","https://openalex.org/W2040484754","https://openalex.org/W2041303285","https://openalex.org/W2041364558","https://openalex.org/W2041752389","https://openalex.org/W2042297594","https://openalex.org/W2043662633","https://openalex.org/W2045102407","https://openalex.org/W2046696187","https://openalex.org/W2052534905","https://openalex.org/W2052602889","https://openalex.org/W2054188927","https://openalex.org/W2055313054","https://openalex.org/W2062021750","https://openalex.org/W2062506051","https://openalex.org/W2069232849","https://openalex.org/W2069936665","https://openalex.org/W2071327759","https://openalex.org/W2073835183","https://openalex.org/W2075665712","https://openalex.org/W2076201771","https://openalex.org/W2077166865","https://openalex.org/W2079008951","https://openalex.org/W2087263172","https://openalex.org/W2088028877","https://openalex.org/W2088214068","https://openalex.org/W2090111505","https://openalex.org/W2091859203","https://openalex.org/W2092590148","https://openalex.org/W2097897435","https://openalex.org/W2104802194","https://openalex.org/W2109624367","https://openalex.org/W2114986599","https://openalex.org/W2123400265","https://openalex.org/W2125624993","https://openalex.org/W2128131274","https://openalex.org/W2132592167","https://openalex.org/W2134688242","https://openalex.org/W2135622428","https://openalex.org/W2146766088","https://openalex.org/W2156722294","https://openalex.org/W2166036437","https://openalex.org/W2167694888","https://openalex.org/W2236623899","https://openalex.org/W2318261842","https://openalex.org/W2326884861","https://openalex.org/W2333836441","https://openalex.org/W2525681133","https://openalex.org/W2798909945","https://openalex.org/W2921214419","https://openalex.org/W3046265042","https://openalex.org/W4241548534","https://openalex.org/W4285719527","https://openalex.org/W4298876635","https://openalex.org/W4300938688","https://openalex.org/W6607590824","https://openalex.org/W6610155686","https://openalex.org/W6631207072","https://openalex.org/W6633714931","https://openalex.org/W6638811874","https://openalex.org/W6649303897","https://openalex.org/W6651805951","https://openalex.org/W6654664260","https://openalex.org/W6659473797","https://openalex.org/W6701526503","https://openalex.org/W7045383116"],"related_works":["https://openalex.org/W2504297729","https://openalex.org/W2383134623","https://openalex.org/W2947630669","https://openalex.org/W2075472361","https://openalex.org/W3021600095","https://openalex.org/W2400766834","https://openalex.org/W2583997372","https://openalex.org/W2063857110","https://openalex.org/W2462268341","https://openalex.org/W3038059042"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}