{"id":"https://openalex.org/W1966255369","doi":"https://doi.org/10.1137/090761136","title":"A Framework for Reduced Order Modeling with Mixed Moment Matching and Peak Error Objectives","display_name":"A Framework for Reduced Order Modeling with Mixed Moment Matching and Peak Error Objectives","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1966255369","doi":"https://doi.org/10.1137/090761136","mag":"1966255369"},"language":"en","primary_location":{"id":"doi:10.1137/090761136","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090761136","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific 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/A5084711175","display_name":"Keith Santarelli","orcid":null},"institutions":[{"id":"https://openalex.org/I192454743","display_name":"Sandia National Laboratories California","ror":"https://ror.org/058m7ey48","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1330989302","https://openalex.org/I192454743","https://openalex.org/I198811213","https://openalex.org/I198811213","https://openalex.org/I4210104735"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Keith R. Santarelli","raw_affiliation_strings":["krsanta@sandia.gov#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"krsanta@sandia.gov#TAB#","institution_ids":["https://openalex.org/I192454743"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5084711175"],"corresponding_institution_ids":["https://openalex.org/I192454743"],"apc_list":null,"apc_paid":null,"fwci":0.9239,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.74169193,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"32","issue":"2","first_page":"745","last_page":"773"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9918000102043152,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"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/T12810","display_name":"Real-time simulation and control systems","score":0.9908000230789185,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6696922779083252},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.6005569696426392},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5277866721153259},{"id":"https://openalex.org/keywords/moment","display_name":"Moment (physics)","score":0.5206146240234375},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.47581344842910767},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.463060587644577},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.44723042845726013},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4445991516113281},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.43513110280036926},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.42385435104370117},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3688385486602783}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6696922779083252},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.6005569696426392},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5277866721153259},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.5206146240234375},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47581344842910767},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.463060587644577},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.44723042845726013},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4445991516113281},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.43513110280036926},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.42385435104370117},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3688385486602783},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical 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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/090761136","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090761136","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","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":20,"referenced_works":["https://openalex.org/W1762430620","https://openalex.org/W1966450732","https://openalex.org/W1966992674","https://openalex.org/W1984714339","https://openalex.org/W2037579718","https://openalex.org/W2049381134","https://openalex.org/W2059661693","https://openalex.org/W2064733273","https://openalex.org/W2076239924","https://openalex.org/W2107883577","https://openalex.org/W2113466172","https://openalex.org/W2121455282","https://openalex.org/W2122371930","https://openalex.org/W2122608783","https://openalex.org/W2128919817","https://openalex.org/W2133825750","https://openalex.org/W2154725907","https://openalex.org/W2167848581","https://openalex.org/W2169028264","https://openalex.org/W2171353752"],"related_works":["https://openalex.org/W2051058708","https://openalex.org/W154868527","https://openalex.org/W1494268238","https://openalex.org/W1983207144","https://openalex.org/W2490706771","https://openalex.org/W2480116122","https://openalex.org/W1976468483","https://openalex.org/W1516574938","https://openalex.org/W2563912921","https://openalex.org/W2407611282"],"abstract_inverted_index":{"We":[0,112,182,216,242],"examine":[1],"a":[2,17,32,49,59,72,187],"new":[3],"method":[4,89,117,194],"of":[5,38,51,74,124,141,155,179,190,205],"producing":[6],"reduced":[7,27,162,202],"order":[8,28,108,163,203],"models":[9,29,204],"for":[10,98,186,259],"LTI":[11,191],"systems":[12],"which":[13,43,236],"attempts":[14],"to":[15,31,65,71,94,106,200,220,249],"minimize":[16,66],"bound":[18,33,69,229],"on":[19,34,247],"the":[20,24,35,39,85,88,116,139,148,152,156,159,168,180,193,210,226,238],"peak":[21,36],"error":[22,68,228],"between":[23,158],"original":[25,160,211],"and":[26,133,161,166,232],"subject":[30,70],"value":[37],"input.":[40],"The":[41],"method,":[42],"can":[44,90,197],"be":[45,92,198],"implemented":[46],"by":[47,114],"solving":[48],"set":[50],"linear":[52,170],"programming":[53,171],"problems":[54],"that":[55,173],"are":[56],"parameterized":[57],"via":[58],"single":[60],"scalar":[61],"quantity,":[62],"is":[63,82,174,213],"able":[64],"an":[67],"number":[73],"moment":[75,130,222],"matching":[76,131,223],"constraints.":[77],"Moreover,":[78],"because":[79],"all":[80],"optimization":[81],"performed":[83],"in":[84],"time":[86],"domain,":[87],"also":[91],"used":[93,199],"perform":[95],"model":[96,126],"reduction":[97,127,142],"infinite":[99,214],"dimensional":[100],"systems,":[101,192,252],"rather":[102],"than":[103],"being":[104],"restricted":[105],"finite":[107],"state":[109],"space":[110],"descriptions.":[111],"begin":[113],"contrasting":[115],"we":[118,144,146,195],"present":[119,233],"here":[120],"with":[121,244],"two":[122],"classes":[123],"standard":[125],"algorithms,":[128],"namely,":[129],"algorithms":[132],"singular":[134],"value\u2013based":[135],"methods.":[136],"After":[137],"motivating":[138],"class":[140,189],"tools":[143],"propose,":[145],"describe":[147],"algorithm":[149],"(which":[150],"minimizes":[151],"$L_1$":[153],"norm":[154],"difference":[157],"impulse":[164],"responses)":[165],"formulate":[167],"corresponding":[169],"problem":[172],"solved":[175],"during":[176],"each":[177],"iteration":[178],"algorithm.":[181],"then":[183,217],"prove":[184],"that,":[185],"certain":[188],"propose":[196],"produce":[201],"arbitrary":[206],"accuracy":[207],"even":[208],"when":[209],"system":[212],"dimensional.":[215],"show":[218],"how":[219],"incorporate":[221],"constraints":[224],"into":[225],"basic":[227],"minimization":[230],"algorithm,":[231],"three":[234],"examples":[235],"utilize":[237],"techniques":[239],"described":[240],"herein.":[241],"conclude":[243],"some":[245,256],"comments":[246,258],"extensions":[248],"multi-input,":[250],"multi-output":[251],"as":[253,255],"well":[254],"general":[257],"future":[260],"work.":[261]},"counts_by_year":[{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}