{"id":"https://openalex.org/W2054037233","doi":"https://doi.org/10.1109/tac.2010.2090063","title":"Krylov Subspace Methods for Linear Infinite-Dimensional Systems","display_name":"Krylov Subspace Methods for Linear Infinite-Dimensional Systems","publication_year":2010,"publication_date":"2010-11-09","ids":{"openalex":"https://openalex.org/W2054037233","doi":"https://doi.org/10.1109/tac.2010.2090063","mag":"2054037233"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2010.2090063","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2010.2090063","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","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/A5038498392","display_name":"Christian Harkort","orcid":null},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christian Harkort","raw_affiliation_strings":["Automatic Control, University of Erlangen Nuremberg, Erlangen, Germany","Dept. of Autom. Control, Univ. of Erlangen-Nuremberg, Erlangen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Automatic Control, University of Erlangen Nuremberg, Erlangen, Germany","institution_ids":["https://openalex.org/I181369854"]},{"raw_affiliation_string":"Dept. of Autom. Control, Univ. of Erlangen-Nuremberg, Erlangen, Germany","institution_ids":["https://openalex.org/I181369854"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057802765","display_name":"Joachim Deutscher","orcid":"https://orcid.org/0000-0001-6596-6066"},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Joachim Deutscher","raw_affiliation_strings":["Automatic Control, University of Erlangen Nuremberg, Erlangen, Germany","Dept. of Autom. Control, Univ. of Erlangen-Nuremberg, Erlangen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Automatic Control, University of Erlangen Nuremberg, Erlangen, Germany","institution_ids":["https://openalex.org/I181369854"]},{"raw_affiliation_string":"Dept. of Autom. Control, Univ. of Erlangen-Nuremberg, Erlangen, Germany","institution_ids":["https://openalex.org/I181369854"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I181369854"],"apc_list":null,"apc_paid":null,"fwci":2.8296,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.91549951,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"56","issue":"2","first_page":"441","last_page":"447"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9995999932289124,"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":0.9995999932289124,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T11416","display_name":"Numerical methods for differential equations","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/krylov-subspace","display_name":"Krylov subspace","score":0.8760812282562256},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.6778227090835571},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.6369634866714478},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5922159552574158},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5739346742630005},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.5619474053382874},{"id":"https://openalex.org/keywords/distributed-parameter-system","display_name":"Distributed parameter system","score":0.5025279521942139},{"id":"https://openalex.org/keywords/model-order-reduction","display_name":"Model order reduction","score":0.4465482234954834},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3541671335697174},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34035587310791016},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3094666004180908},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21558350324630737},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.11624807119369507}],"concepts":[{"id":"https://openalex.org/C147060835","wikidata":"https://www.wikidata.org/wiki/Q1757151","display_name":"Krylov subspace","level":3,"score":0.8760812282562256},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.6778227090835571},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.6369634866714478},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5922159552574158},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5739346742630005},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.5619474053382874},{"id":"https://openalex.org/C112714845","wikidata":"https://www.wikidata.org/wiki/Q1482001","display_name":"Distributed parameter system","level":3,"score":0.5025279521942139},{"id":"https://openalex.org/C2779277453","wikidata":"https://www.wikidata.org/wiki/Q12202921","display_name":"Model order reduction","level":3,"score":0.4465482234954834},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3541671335697174},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34035587310791016},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3094666004180908},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21558350324630737},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.11624807119369507},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2010.2090063","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2010.2090063","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","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":10,"referenced_works":["https://openalex.org/W101236918","https://openalex.org/W110690611","https://openalex.org/W1538686203","https://openalex.org/W1551480811","https://openalex.org/W1588513474","https://openalex.org/W2023228436","https://openalex.org/W2161344224","https://openalex.org/W2356083104","https://openalex.org/W2588297134","https://openalex.org/W2747157708"],"related_works":["https://openalex.org/W1668795783","https://openalex.org/W2323113259","https://openalex.org/W2765250005","https://openalex.org/W2168392479","https://openalex.org/W2011763796","https://openalex.org/W2088424998","https://openalex.org/W4386242014","https://openalex.org/W1972333976","https://openalex.org/W3160015","https://openalex.org/W2161344224"],"abstract_inverted_index":{"The":[0,40,60,96],"well-known":[1],"Krylov":[2],"subspace":[3],"methods":[4],"for":[5,91],"model":[6,63],"order":[7],"reduction":[8],"of":[9,27,48,71,79,98,105],"large-scale":[10,56],"lumped":[11,57],"parameter":[12,33,58],"systems":[13,30,34,51],"are":[14,101],"generalized":[15],"such":[16],"that":[17,68],"they":[18],"can":[19],"be":[20],"applied":[21],"directly":[22],"to":[23,44,54],"a":[24,55,92,106],"large":[25],"class":[26],"linear":[28],"infinite-dimensional":[29,50,81],"including":[31],"distributed":[32],"as":[35,37],"well":[36],"delay":[38],"systems.":[39],"proposed":[41],"approach":[42,89],"allows":[43,90],"derive":[45],"finite-dimensional":[46,62,86],"approximations":[47],"these":[49],"without":[52],"recourse":[53],"approximation.":[59],"resulting":[61],"has":[64],"the":[65,77,80,85,88,99],"usual":[66],"property":[67],"prescribed":[69],"moments":[70,78],"its":[72],"transfer":[73],"function":[74],"coincide":[75],"with":[76],"system.":[82],"As":[83],"in":[84],"case":[87],"numerical":[93],"efficient":[94],"implementation.":[95],"results":[97],"article":[100],"demonstrated":[102],"by":[103],"means":[104],"simple":[107],"example.":[108]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":7}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}