{"id":"https://openalex.org/W4396585366","doi":"https://doi.org/10.3390/a17050193","title":"The Algorithm of Gu and Eisenstat and D-Optimal Design of Experiments","display_name":"The Algorithm of Gu and Eisenstat and D-Optimal Design of Experiments","publication_year":2024,"publication_date":"2024-05-02","ids":{"openalex":"https://openalex.org/W4396585366","doi":"https://doi.org/10.3390/a17050193"},"language":"en","primary_location":{"id":"doi:10.3390/a17050193","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a17050193","pdf_url":"https://www.mdpi.com/1999-4893/17/5/193/pdf?version=1715325305","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1999-4893/17/5/193/pdf?version=1715325305","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083084249","display_name":"Alistair Forbes","orcid":"https://orcid.org/0000-0001-6640-9691"},"institutions":[{"id":"https://openalex.org/I134421475","display_name":"National Physical Laboratory","ror":"https://ror.org/015w2mp89","country_code":"GB","type":"facility","lineage":["https://openalex.org/I134421475"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Alistair Forbes","raw_affiliation_strings":["National Physical Laboratory, Teddington TW11 0LW, UK"],"raw_orcid":"https://orcid.org/0000-0001-6640-9691","affiliations":[{"raw_affiliation_string":"National Physical Laboratory, Teddington TW11 0LW, UK","institution_ids":["https://openalex.org/I134421475"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5083084249"],"corresponding_institution_ids":["https://openalex.org/I134421475"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.04993608,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":"5","first_page":"193","last_page":"193"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/T11236","display_name":"Control Systems and Identification","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T11798","display_name":"Optimal Experimental Design Methods","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11032","display_name":"VLSI and Analog Circuit Testing","score":0.9905999898910522,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/algorithm","display_name":"Algorithm","score":0.8086159229278564},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.6138972640037537},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5867425203323364},{"id":"https://openalex.org/keywords/row","display_name":"Row","score":0.5732463598251343},{"id":"https://openalex.org/keywords/row-and-column-spaces","display_name":"Row and column spaces","score":0.5194615721702576},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5165838003158569},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5080833435058594},{"id":"https://openalex.org/keywords/column","display_name":"Column (typography)","score":0.5002386569976807},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.4774094820022583},{"id":"https://openalex.org/keywords/implementation","display_name":"Implementation","score":0.435336709022522},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.4167454242706299},{"id":"https://openalex.org/keywords/qr-decomposition","display_name":"QR decomposition","score":0.41562482714653015},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3692784309387207},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09685391187667847},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.08560043573379517}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.8086159229278564},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.6138972640037537},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5867425203323364},{"id":"https://openalex.org/C135598885","wikidata":"https://www.wikidata.org/wiki/Q1366302","display_name":"Row","level":2,"score":0.5732463598251343},{"id":"https://openalex.org/C104140500","wikidata":"https://www.wikidata.org/wiki/Q2088159","display_name":"Row and column spaces","level":3,"score":0.5194615721702576},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5165838003158569},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5080833435058594},{"id":"https://openalex.org/C2780551164","wikidata":"https://www.wikidata.org/wiki/Q2306599","display_name":"Column (typography)","level":3,"score":0.5002386569976807},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.4774094820022583},{"id":"https://openalex.org/C26713055","wikidata":"https://www.wikidata.org/wiki/Q245962","display_name":"Implementation","level":2,"score":0.435336709022522},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.4167454242706299},{"id":"https://openalex.org/C188060507","wikidata":"https://www.wikidata.org/wiki/Q653242","display_name":"QR decomposition","level":3,"score":0.41562482714653015},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3692784309387207},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09685391187667847},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.08560043573379517},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/a17050193","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a17050193","pdf_url":"https://www.mdpi.com/1999-4893/17/5/193/pdf?version=1715325305","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:1b86be64432b4938883046defb2ff328","is_oa":true,"landing_page_url":"https://doaj.org/article/1b86be64432b4938883046defb2ff328","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms, Vol 17, Iss 5, p 193 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/a17050193","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a17050193","pdf_url":"https://www.mdpi.com/1999-4893/17/5/193/pdf?version=1715325305","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4396585366.pdf","grobid_xml":"https://content.openalex.org/works/W4396585366.grobid-xml"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W1923722","https://openalex.org/W282987170","https://openalex.org/W1619787994","https://openalex.org/W1983731640","https://openalex.org/W1985562661","https://openalex.org/W1992047397","https://openalex.org/W2001389891","https://openalex.org/W2002119104","https://openalex.org/W2002844873","https://openalex.org/W2015818231","https://openalex.org/W2016735165","https://openalex.org/W2024960421","https://openalex.org/W2030289221","https://openalex.org/W2054226364","https://openalex.org/W2078394884","https://openalex.org/W2103908342","https://openalex.org/W2119233169","https://openalex.org/W2464313524","https://openalex.org/W2465509612","https://openalex.org/W2519345513","https://openalex.org/W2810050337","https://openalex.org/W2901244969","https://openalex.org/W2912522929","https://openalex.org/W3099235953","https://openalex.org/W3134559959","https://openalex.org/W3204076278","https://openalex.org/W4211049957","https://openalex.org/W4221032191","https://openalex.org/W4230704549","https://openalex.org/W4250589301","https://openalex.org/W4253176497","https://openalex.org/W4298427462","https://openalex.org/W4300031234","https://openalex.org/W4312258136"],"related_works":["https://openalex.org/W2313440505","https://openalex.org/W3123744736","https://openalex.org/W2137691148","https://openalex.org/W1505848319","https://openalex.org/W4281399881","https://openalex.org/W2905020035","https://openalex.org/W3166006430","https://openalex.org/W4281971614","https://openalex.org/W2049180840","https://openalex.org/W1992086467"],"abstract_inverted_index":{"This":[0],"paper":[1],"addresses":[2],"the":[3,17,30,34,79,91,94,129,149,157,166,189],"following":[4],"problem:":[5],"given":[6],"m":[7],"potential":[8],"observations":[9],"to":[10,63,117,137,155,172,183],"determine":[11,128],"n":[12,21,76],"parameters,":[13],"m&gt;n,":[14],"what":[15],"is":[16],"best":[18],"choice":[19],"of":[20,33,57,75,78,87,93,159,180],"observations.":[22],"The":[23,68,109,123],"problem":[24,158],"can":[25,60,106,152],"be":[26,61,107,153],"formulated":[27],"as":[28],"finding":[29],"n\u00d7n":[31],"submatrix":[32,96],"complete":[35],"m\u00d7n":[36],"observation":[37,80],"matrix":[38,59,81],"that":[39,187],"has":[40],"maximum":[41],"determinant.":[42],"An":[43],"algorithm":[44,69,110,124,151,168],"by":[45],"Gu":[46],"and":[47,82,120,163],"Eisenstat":[48],"for":[49],"a":[50,52,58,85,118,134],"determining":[51],"strongly":[53],"rank-revealing":[54],"QR":[55,167],"factorisation":[56],"adapted":[62,154],"address":[64,156],"this":[65,144],"latter":[66],"formulation.":[67],"starts":[70],"with":[71,90,165,169],"an":[72,139],"initial":[73],"selection":[74],"rows":[77],"then":[83],"performs":[84],"sequence":[86],"row":[88],"interchanges,":[89],"determinant":[92],"current":[95],"strictly":[97],"increasing":[98],"at":[99,192],"each":[100,193],"step":[101],"until":[102],"no":[103],"further":[104,185],"improvement":[105],"made.":[108],"implements":[111],"rank-one":[112],"updating":[113],"strategies,":[114],"which":[115],"leads":[116],"compact":[119],"efficient":[121],"algorithm.":[122],"does":[125],"not":[126],"necessarily":[127],"global":[130],"optimum":[131],"but":[132],"provides":[133],"practical":[135],"approach":[136],"designing":[138],"effective":[140,174],"measurement":[141],"strategy.":[142],"In":[143],"paper,":[145],"we":[146],"describe":[147,178],"how":[148],"Gu\u2013Eisenstat":[150],"optimal":[160],"experimental":[161],"design":[162],"used":[164],"column":[170],"pivoting":[171],"provide":[173],"designs.":[175],"We":[176,195],"also":[177],"implementations":[179],"sequential":[181],"algorithms":[182],"add":[184],"measurements":[186],"optimise":[188],"information":[190],"gain":[191],"step.":[194],"illustrate":[196],"performance":[197],"on":[198],"several":[199],"metrology":[200],"examples.":[201]},"counts_by_year":[],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}
