{"id":"https://openalex.org/W2114583457","doi":"https://doi.org/10.1137/s0895479802405884","title":"Some Fast Algorithms for Sequentially Semiseparable Representations","display_name":"Some Fast Algorithms for Sequentially Semiseparable Representations","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W2114583457","doi":"https://doi.org/10.1137/s0895479802405884","mag":"2114583457"},"language":"en","primary_location":{"id":"doi:10.1137/s0895479802405884","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895479802405884","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"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 Matrix Analysis and Applications","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/A5009022144","display_name":"Shivkumar Chandrasekaran","orcid":"https://orcid.org/0000-0003-2508-5605"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"S. Chandrasekaran","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035921496","display_name":"P. Dewilde","orcid":"https://orcid.org/0000-0002-9553-1845"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"P. Dewilde","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103226688","display_name":"Ming Gu","orcid":"https://orcid.org/0009-0005-2951-5256"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. Gu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027823522","display_name":"T. Pals","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"T. Pals","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042572390","display_name":"X. Sun","orcid":"https://orcid.org/0000-0001-9500-7288"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"X. Sun","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"A. J. van der Veen","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A. J. van der Veen","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5014441104","display_name":"D. White","orcid":"https://orcid.org/0000-0001-8461-2829"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"D. White","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":7,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":9.7042,"has_fulltext":false,"cited_by_count":92,"citation_normalized_percentile":{"value":0.97717795,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"27","issue":"2","first_page":"341","last_page":"364"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9977999925613403,"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":0.9977999925613403,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9976000189781189,"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":0.9972000122070312,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7470709085464478},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.705802857875824},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.6126276850700378},{"id":"https://openalex.org/keywords/sss*","display_name":"SSS*","score":0.609917402267456},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5977610349655151},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.5347040891647339},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5221317410469055},{"id":"https://openalex.org/keywords/coefficient-matrix","display_name":"Coefficient matrix","score":0.48454442620277405},{"id":"https://openalex.org/keywords/matrix-representation","display_name":"Matrix representation","score":0.4659501016139984},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.46368780732154846},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.26872098445892334},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.1622997224330902},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.10888364911079407},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10833647847175598}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7470709085464478},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.705802857875824},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.6126276850700378},{"id":"https://openalex.org/C148699463","wikidata":"https://www.wikidata.org/wiki/Q3492668","display_name":"SSS*","level":2,"score":0.609917402267456},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5977610349655151},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.5347040891647339},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5221317410469055},{"id":"https://openalex.org/C60866291","wikidata":"https://www.wikidata.org/wiki/Q5140577","display_name":"Coefficient matrix","level":3,"score":0.48454442620277405},{"id":"https://openalex.org/C103275481","wikidata":"https://www.wikidata.org/wiki/Q6787889","display_name":"Matrix representation","level":3,"score":0.4659501016139984},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.46368780732154846},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.26872098445892334},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.1622997224330902},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.10888364911079407},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10833647847175598},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/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/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/s0895479802405884","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895479802405884","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"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 Matrix Analysis and Applications","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.614.8522","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.614.8522","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://repository.tudelft.nl/assets/uuid:79d8e0f9-382b-447b-a056-c7cc5f9338f8/2005-3.pdf","raw_type":"text"},{"id":"pmh:oai:tudelft.nl:uuid:79d8e0f9-382b-447b-a056-c7cc5f9338f8","is_oa":false,"landing_page_url":"http://resolver.tudelft.nl/uuid:79d8e0f9-382b-447b-a056-c7cc5f9338f8","pdf_url":null,"source":{"id":"https://openalex.org/S4306400906","display_name":"Research Repository (Delft University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I98358874","host_organization_name":"Delft University of Technology","host_organization_lineage":["https://openalex.org/I98358874"],"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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W183455853","https://openalex.org/W266430444","https://openalex.org/W608773355","https://openalex.org/W1517670975","https://openalex.org/W1523113578","https://openalex.org/W1542978137","https://openalex.org/W1569304948","https://openalex.org/W1971285640","https://openalex.org/W1981745143","https://openalex.org/W1983483574","https://openalex.org/W1999194916","https://openalex.org/W1999842671","https://openalex.org/W2007191224","https://openalex.org/W2010705600","https://openalex.org/W2012310150","https://openalex.org/W2013144881","https://openalex.org/W2018419001","https://openalex.org/W2029837479","https://openalex.org/W2050746438","https://openalex.org/W2062028527","https://openalex.org/W2063561814","https://openalex.org/W2063961547","https://openalex.org/W2064393074","https://openalex.org/W2077852080","https://openalex.org/W2083206954","https://openalex.org/W2088694512","https://openalex.org/W2089210221","https://openalex.org/W2105111377","https://openalex.org/W2119233169","https://openalex.org/W2125398376","https://openalex.org/W2125428691","https://openalex.org/W2130788627","https://openalex.org/W2131004985","https://openalex.org/W2136508633","https://openalex.org/W2151192847","https://openalex.org/W4253945327","https://openalex.org/W4297575314"],"related_works":["https://openalex.org/W4254148397","https://openalex.org/W2130422680","https://openalex.org/W2262308488","https://openalex.org/W2291521583","https://openalex.org/W2181393623","https://openalex.org/W3183058467","https://openalex.org/W2068666169","https://openalex.org/W2391599106","https://openalex.org/W2361521353","https://openalex.org/W2099900498"],"abstract_inverted_index":{"An":[0],"extended":[1],"sequentially":[2],"semiseparable":[3],"(SSS)":[4],"representation":[5],"derived":[6],"from":[7],"time-varying":[8],"system":[9],"theory":[10],"is":[11,74],"used":[12],"to":[13,38,44,64,82,107],"capture,":[14],"on":[15,35],"the":[16,19,22,29,36,50,60,71,84,109],"one":[17],"hand,":[18],"low-rank":[20],"of":[21,25,31,62,87],"off-diagonal":[23],"blocks":[24],"a":[26,55,79,102],"matrix":[27,73],"for":[28,40,46],"purposes":[30],"efficient":[32],"computations":[33],"and,":[34],"other,":[37],"provide":[39],"sufficient":[41],"descriptive":[42],"richness":[43],"allow":[45],"backward":[47],"stability":[48],"in":[49,59,69,75,97],"computations.":[51],"We":[52],"present":[53],"(i)":[54],"fast":[56,80,103],"algorithm":[57,81],"(linear":[58],"number":[61],"equations)":[63],"solve":[65],"least":[66],"squares":[67],"problems":[68],"which":[70],"coefficient":[72],"SSS":[76,85,98,110],"form,":[77,99],"(ii)":[78],"find":[83],"form":[86],"X":[88],"such":[89],"that":[90],"$AX=B$,":[91],"where":[92],"A":[93],"and":[94,100],"B":[95],"are":[96],"(iii)":[101],"model":[104],"reduction":[105],"technique":[106],"improve":[108],"form.":[111]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":10},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":5}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
