{"id":"https://openalex.org/W1503058768","doi":"https://doi.org/10.23919/ecc.2013.6669195","title":"Computing the L&lt;inf&gt;\u221e&lt;/inf&gt;[0, h)-induced norm of a compression operator","display_name":"Computing the L&lt;inf&gt;\u221e&lt;/inf&gt;[0, h)-induced norm of a compression operator","publication_year":2013,"publication_date":"2013-07-01","ids":{"openalex":"https://openalex.org/W1503058768","doi":"https://doi.org/10.23919/ecc.2013.6669195","mag":"1503058768"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.2013.6669195","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2013.6669195","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 European Control Conference (ECC)","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/A5100333069","display_name":"Jung Hoon Kim","orcid":"https://orcid.org/0000-0002-5387-2895"},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Jung Hoon Kim","raw_affiliation_strings":["Department of Electrical Engineering, Kyoto University, Nishikyo-ku, Kyoto, Japan","Dept. of Electr. Eng., Kyoto Univ., Katsura, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Kyoto University, Nishikyo-ku, Kyoto, Japan","institution_ids":["https://openalex.org/I22299242"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Kyoto Univ., Katsura, Japan","institution_ids":["https://openalex.org/I22299242"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001719830","display_name":"Tomomichi Hagiwara","orcid":"https://orcid.org/0000-0002-9212-9551"},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Tomomichi Hagiwara","raw_affiliation_strings":["Department of Electrical Engineering, Kyoto University, Nishikyo-ku, Kyoto, Japan","Dept. of Electr. Eng., Kyoto Univ., Katsura, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Kyoto University, Nishikyo-ku, Kyoto, Japan","institution_ids":["https://openalex.org/I22299242"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Kyoto Univ., Katsura, Japan","institution_ids":["https://openalex.org/I22299242"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100333069"],"corresponding_institution_ids":["https://openalex.org/I22299242"],"apc_list":null,"apc_paid":null,"fwci":0.4552,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.56644659,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"3688","last_page":"3693"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11545","display_name":"Advanced Banach Space Theory","score":0.9897000193595886,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11545","display_name":"Advanced Banach Space Theory","score":0.9897000193595886,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9757000207901001,"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/banach-space","display_name":"Banach space","score":0.6003915667533875},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5822911262512207},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5438166260719299},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5188719034194946},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.48830676078796387},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48510682582855225},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.46288344264030457},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.4435088634490967},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4046163558959961},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3999713957309723},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3661292791366577},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.35855329036712646},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2050895094871521}],"concepts":[{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.6003915667533875},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5822911262512207},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5438166260719299},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5188719034194946},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.48830676078796387},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48510682582855225},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.46288344264030457},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.4435088634490967},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4046163558959961},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3999713957309723},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3661292791366577},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.35855329036712646},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2050895094871521},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/ecc.2013.6669195","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2013.6669195","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 European Control Conference (ECC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2385263368","https://openalex.org/W2347422947","https://openalex.org/W2061292372","https://openalex.org/W2112835755","https://openalex.org/W2353392568","https://openalex.org/W4291951920","https://openalex.org/W2377341410","https://openalex.org/W1454600515","https://openalex.org/W2349674371","https://openalex.org/W328874995"],"abstract_inverted_index":{"This":[0,37],"paper":[1,38],"is":[2,27,33,77,87,122],"concerned":[3],"with":[4,92],"the":[5,8,17,58,83,96,119],"computation":[6,97],"of":[7,11,46,57,65,118],"induced":[9,59],"norm":[10,60],"a":[12,28,54,125],"compression":[13],"operator":[14],"defined":[15],"on":[16],"Banach":[18],"space":[19],"L":[20],"<sub":[21],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[22,113],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u221e</sub>":[23],"[0,":[24,85],"h),":[25],"which":[26,47,82],"difficult":[29],"problem":[30],"because":[31],"it":[32],"an":[34,50,63],"infinite-rank":[35],"operator.":[36],"provides":[39],"two":[40],"methods":[41,76,101,121],"for":[42],"this":[43],"problem,":[44],"each":[45],"can":[48],"compute":[49],"upper":[51],"bound":[52,56],"and":[53,95],"lower":[55],"by":[61,81],"using":[62],"idea":[64,73],"staircase":[66],"or":[67,110],"piecewise":[68],"linear":[69],"approximation.":[70],"Another":[71],"key":[72],"in":[74,99],"both":[75],"to":[78,104,108],"apply":[79],"fast-lifting":[80],"interval":[84],"h)":[86],"divided":[88],"into":[89],"M":[90,109,111],"subintervals":[91],"equal":[93],"width,":[94],"errors":[98],"these":[100],"are":[102],"ensured":[103],"be":[105],"reciprocally":[106],"proportional":[107],"<sup":[112],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sup>":[114],".":[115],"The":[116],"effectiveness":[117],"proposed":[120],"demonstrated":[123],"through":[124],"numerical":[126],"example.":[127]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
