{"id":"https://openalex.org/W1495201034","doi":"https://doi.org/10.1109/iscas.2006.1692782","title":"The Global Lanczos Method for MIMO Interconnect Order Reductions","display_name":"The Global Lanczos Method for MIMO Interconnect Order Reductions","publication_year":2006,"publication_date":"2006-09-22","ids":{"openalex":"https://openalex.org/W1495201034","doi":"https://doi.org/10.1109/iscas.2006.1692782","mag":"1495201034"},"language":"en","primary_location":{"id":"doi:10.1109/iscas.2006.1692782","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2006.1692782","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2006 IEEE International Symposium on Circuits and Systems","raw_type":"proceedings-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/A5038592584","display_name":"Chia\u2010Chi Chu","orcid":"https://orcid.org/0000-0001-6403-6078"},"institutions":[{"id":"https://openalex.org/I173093425","display_name":"Chang Gung University","ror":"https://ror.org/00d80zx46","country_code":"TW","type":"education","lineage":["https://openalex.org/I173093425"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Chia-Chi Chu","raw_affiliation_strings":["Department of Electrical Engineering, Chang Gung University, Taoyuan, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Chang Gung University, Taoyuan, Taiwan","institution_ids":["https://openalex.org/I173093425"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031064253","display_name":"Ming-Hong Lai","orcid":null},"institutions":[{"id":"https://openalex.org/I173093425","display_name":"Chang Gung University","ror":"https://ror.org/00d80zx46","country_code":"TW","type":"education","lineage":["https://openalex.org/I173093425"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Ming-Hong Lai","raw_affiliation_strings":["Graduate Institute of Electronic Engineering, Chang Gung University, Taoyuan, Taiwan"],"affiliations":[{"raw_affiliation_string":"Graduate Institute of Electronic Engineering, Chang Gung University, Taoyuan, Taiwan","institution_ids":["https://openalex.org/I173093425"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100883678","display_name":"Wu\u2010Shiung Feng","orcid":null},"institutions":[{"id":"https://openalex.org/I173093425","display_name":"Chang Gung University","ror":"https://ror.org/00d80zx46","country_code":"TW","type":"education","lineage":["https://openalex.org/I173093425"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Wu-Shiung Feng","raw_affiliation_strings":["Department of Electronic Engineering, Chang Gung University, Taoyuan, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Chang Gung University, Taoyuan, Taiwan","institution_ids":["https://openalex.org/I173093425"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5038592584"],"corresponding_institution_ids":["https://openalex.org/I173093425"],"apc_list":null,"apc_paid":null,"fwci":0.2507,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.51776833,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"7","issue":null,"first_page":"1103","last_page":"1106"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9973999857902527,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9925000071525574,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/krylov-subspace","display_name":"Krylov subspace","score":0.8482626080513},{"id":"https://openalex.org/keywords/lanczos-resampling","display_name":"Lanczos resampling","score":0.8393378257751465},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.5380935072898865},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.4904482066631317},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48748326301574707},{"id":"https://openalex.org/keywords/lanczos-algorithm","display_name":"Lanczos algorithm","score":0.48644304275512695},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.46199941635131836},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4243202209472656},{"id":"https://openalex.org/keywords/transpose","display_name":"Transpose","score":0.412320077419281},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3740196228027344},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.3255808651447296},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3254537582397461},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.3098182678222656},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.19235289096832275},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1600918173789978},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.15364587306976318}],"concepts":[{"id":"https://openalex.org/C147060835","wikidata":"https://www.wikidata.org/wiki/Q1757151","display_name":"Krylov subspace","level":3,"score":0.8482626080513},{"id":"https://openalex.org/C119256216","wikidata":"https://www.wikidata.org/wiki/Q913012","display_name":"Lanczos resampling","level":3,"score":0.8393378257751465},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.5380935072898865},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.4904482066631317},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48748326301574707},{"id":"https://openalex.org/C20501136","wikidata":"https://www.wikidata.org/wiki/Q366640","display_name":"Lanczos algorithm","level":4,"score":0.48644304275512695},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.46199941635131836},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4243202209472656},{"id":"https://openalex.org/C200106649","wikidata":"https://www.wikidata.org/wiki/Q223683","display_name":"Transpose","level":3,"score":0.412320077419281},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3740196228027344},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.3255808651447296},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3254537582397461},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.3098182678222656},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.19235289096832275},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1600918173789978},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.15364587306976318},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iscas.2006.1692782","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2006.1692782","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2006 IEEE International Symposium on Circuits and Systems","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W229141103","https://openalex.org/W1551112541","https://openalex.org/W1975194844","https://openalex.org/W1998778430","https://openalex.org/W2115595920","https://openalex.org/W2121542945","https://openalex.org/W2122608783","https://openalex.org/W2161690943","https://openalex.org/W4243455157","https://openalex.org/W6608987741"],"related_works":["https://openalex.org/W2117588047","https://openalex.org/W3166616159","https://openalex.org/W4287126381","https://openalex.org/W1599640686","https://openalex.org/W4242776319","https://openalex.org/W1977732568","https://openalex.org/W1964004266","https://openalex.org/W3201061354","https://openalex.org/W2048659456","https://openalex.org/W1964074933"],"abstract_inverted_index":{"We":[0],"present":[1],"the":[2,8,21,42,46,50,68,77,98,101,104],"global":[3],"Lanczos":[4,23],"algorithm":[5,16,24],"for":[6,25],"solving":[7],"RLCG":[9],"interconnect":[10],"circuits":[11],"in":[12],"this":[13],"paper.":[14],"This":[15],"is":[17,71],"an":[18],"extension":[19],"of":[20,76,103],"standard":[22],"systems":[26],"with":[27,45],"multi-input":[28],"multi-output":[29],"(MIMO).":[30],"A":[31],"new":[32],"matrix":[33,47],"Krylov":[34,48],"subspace":[35],"will":[36,64,82,96],"be":[37,56,65,83],"developed":[38],"first.":[39],"By":[40],"employing":[41],"congruence":[43],"transformation":[44],"subspace,":[49],"two-side":[51],"oblique":[52],"projection-based":[53],"method":[54],"can":[55],"used":[57],"to":[58],"construct":[59],"a":[60],"reduced-order":[61],"system.":[62],"It":[63],"shown":[66],"that":[67],"system":[69,80],"moments":[70],"still":[72],"matched.":[73],"The":[74],"error":[75],"2q-th":[78],"order":[79],"moment":[81],"derived":[84],"analytically.":[85],"Finally,":[86],"simulation":[87],"results":[88],"on":[89],"both":[90],"frequency":[91],"domain":[92,95],"and":[93,100],"time":[94],"illustrate":[97],"feasibility":[99],"efficiency":[102],"proposed":[105],"method.":[106]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}