{"id":"https://openalex.org/W2954349310","doi":"https://doi.org/10.1109/taslp.2019.2924842","title":"Newton\u2013Raphson Solution of Nonlinear Delay-Free Loop Filter Networks","display_name":"Newton\u2013Raphson Solution of Nonlinear Delay-Free Loop Filter Networks","publication_year":2019,"publication_date":"2019-06-25","ids":{"openalex":"https://openalex.org/W2954349310","doi":"https://doi.org/10.1109/taslp.2019.2924842","mag":"2954349310"},"language":"en","primary_location":{"id":"doi:10.1109/taslp.2019.2924842","is_oa":false,"landing_page_url":"https://doi.org/10.1109/taslp.2019.2924842","pdf_url":null,"source":{"id":"https://openalex.org/S4210169297","display_name":"IEEE/ACM Transactions on Audio Speech and Language Processing","issn_l":"2329-9290","issn":["2329-9290","2329-9304"],"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/ACM Transactions on Audio, Speech, and Language Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/11390/1152891","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032661658","display_name":"Federico Fontana","orcid":null},"institutions":[{"id":"https://openalex.org/I129043915","display_name":"University of Udine","ror":"https://ror.org/05ht0mh31","country_code":"IT","type":"education","lineage":["https://openalex.org/I129043915"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Federico Fontana","raw_affiliation_strings":["Department of Mathematics, Computer Science and Physics, University of Udine, Udine, Italy"],"raw_orcid":"https://orcid.org/0000-0002-1692-2603","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Computer Science and Physics, University of Udine, Udine, Italy","institution_ids":["https://openalex.org/I129043915"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068899786","display_name":"Enrico Bozzo","orcid":"https://orcid.org/0000-0003-4315-7203"},"institutions":[{"id":"https://openalex.org/I129043915","display_name":"University of Udine","ror":"https://ror.org/05ht0mh31","country_code":"IT","type":"education","lineage":["https://openalex.org/I129043915"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Enrico Bozzo","raw_affiliation_strings":["Department of Mathematics, Computer Science and Physics, University of Udine, Udine, Italy"],"raw_orcid":"https://orcid.org/0000-0003-4315-7203","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Computer Science and Physics, University of Udine, Udine, Italy","institution_ids":["https://openalex.org/I129043915"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I129043915"],"apc_list":{"value":2045,"currency":"USD","value_usd":2045},"apc_paid":null,"fwci":1.4175,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.77149981,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"27","issue":"10","first_page":"1590","last_page":"1600"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10323","display_name":"Analog and Mixed-Signal Circuit Design","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/solver","display_name":"Solver","score":0.6347765922546387},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6004629135131836},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5924367904663086},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5733119249343872},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.5718144774436951},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.4218590557575226},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.40511566400527954},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3432888388633728},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2641751766204834}],"concepts":[{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.6347765922546387},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6004629135131836},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5924367904663086},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5733119249343872},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.5718144774436951},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.4218590557575226},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.40511566400527954},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3432888388633728},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2641751766204834},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"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/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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/taslp.2019.2924842","is_oa":false,"landing_page_url":"https://doi.org/10.1109/taslp.2019.2924842","pdf_url":null,"source":{"id":"https://openalex.org/S4210169297","display_name":"IEEE/ACM Transactions on Audio Speech and Language Processing","issn_l":"2329-9290","issn":["2329-9290","2329-9304"],"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/ACM Transactions on Audio, Speech, and Language Processing","raw_type":"journal-article"},{"id":"pmh:oai:air.uniud.it:11390/1152891","is_oa":true,"landing_page_url":"http://hdl.handle.net/11390/1152891","pdf_url":null,"source":{"id":"https://openalex.org/S4306401163","display_name":"Institutional Research Information System (University of Udine)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I129043915","host_organization_name":"University of Udine","host_organization_lineage":["https://openalex.org/I129043915"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:air.uniud.it:11390/1152891","is_oa":true,"landing_page_url":"http://hdl.handle.net/11390/1152891","pdf_url":null,"source":{"id":"https://openalex.org/S4306401163","display_name":"Institutional Research Information System (University of Udine)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I129043915","host_organization_name":"University of Udine","host_organization_lineage":["https://openalex.org/I129043915"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":63,"referenced_works":["https://openalex.org/W187528071","https://openalex.org/W196232857","https://openalex.org/W222438209","https://openalex.org/W310388518","https://openalex.org/W608300865","https://openalex.org/W1485732691","https://openalex.org/W1525397384","https://openalex.org/W1543133788","https://openalex.org/W1969560796","https://openalex.org/W1973136540","https://openalex.org/W1983706474","https://openalex.org/W1990450915","https://openalex.org/W1998589219","https://openalex.org/W1998761587","https://openalex.org/W2010069926","https://openalex.org/W2026061145","https://openalex.org/W2057845019","https://openalex.org/W2101400088","https://openalex.org/W2109419553","https://openalex.org/W2115936551","https://openalex.org/W2116763969","https://openalex.org/W2121559995","https://openalex.org/W2136002132","https://openalex.org/W2140273863","https://openalex.org/W2152987429","https://openalex.org/W2153325979","https://openalex.org/W2166546105","https://openalex.org/W2188922657","https://openalex.org/W2207604102","https://openalex.org/W2294036847","https://openalex.org/W2407882466","https://openalex.org/W2514488892","https://openalex.org/W2561268168","https://openalex.org/W2566585684","https://openalex.org/W2613383836","https://openalex.org/W2614441919","https://openalex.org/W2617196526","https://openalex.org/W2761162138","https://openalex.org/W2763355544","https://openalex.org/W2776539204","https://openalex.org/W2803311413","https://openalex.org/W2804369639","https://openalex.org/W2807999731","https://openalex.org/W2901837082","https://openalex.org/W2913504865","https://openalex.org/W2970760985","https://openalex.org/W3188700076","https://openalex.org/W4229706427","https://openalex.org/W4285719527","https://openalex.org/W6610854813","https://openalex.org/W6631624979","https://openalex.org/W6680282754","https://openalex.org/W6687425124","https://openalex.org/W6688334366","https://openalex.org/W6697466111","https://openalex.org/W6713437328","https://openalex.org/W6737689262","https://openalex.org/W6737768058","https://openalex.org/W6738286491","https://openalex.org/W6745274704","https://openalex.org/W6751505602","https://openalex.org/W6756451628","https://openalex.org/W6799029461"],"related_works":["https://openalex.org/W4255427455","https://openalex.org/W68941528","https://openalex.org/W4206451355","https://openalex.org/W1553604823","https://openalex.org/W8322802","https://openalex.org/W314331466","https://openalex.org/W1966025497","https://openalex.org/W2186864281","https://openalex.org/W2562964647","https://openalex.org/W4311074794"],"abstract_inverted_index":{"For":[0],"their":[1,34],"numerical":[2],"properties":[3],"and":[4,179],"speed":[5,92,125,186],"of":[6,30,38,41,93,95,163,181,194],"convergence,":[7],"Newton-Raphson":[8,109],"methods":[9,25],"are":[10,26],"frequently":[11],"used":[12],"to":[13,63,132,140,160,169,191],"compute":[14,108],"nonlinear":[15,68,101],"audio":[16,201],"electronic":[17],"circuit":[18,69,136],"models":[19],"in":[20,126,149],"the":[21,46,54,64,67,96,100,111,115,127,152,161,167,192],"digital":[22,200],"domain.":[23],"These":[24],"traditionally":[27],"employed":[28],"regardless":[29],"preliminary":[31],"considerations":[32],"about":[33],"applicability,":[35],"primarily":[36],"because":[37],"a":[39,57,73,82,87,133,156,171,185],"lack":[40],"flexible":[42],"mathematical":[43],"tools":[44],"making":[45],"convergence":[47,84,94,124],"analysis":[48],"an":[49],"easy":[50],"task.":[51],"We":[52],"define":[53],"basin":[55,116,153],"delimiter,":[56,117],"tool":[58,78,183],"that":[59,107],"can":[60],"be":[61],"applied":[62],"case":[65,175],"when":[66],"is":[70,79],"modeled":[71],"by":[72,166],"delay-free":[74],"loop":[75],"network.":[76],"This":[77],"derived":[80],"from":[81],"known":[83],"theorem":[85],"providing":[86],"sufficient":[88],"condition":[89],"for":[90,144,198],"quadratic":[91,123,145],"method.":[97],"After":[98],"substituting":[99],"characteristics":[102],"with":[103,188],"equivalent":[104],"linear":[105],"filters":[106],"on":[110],"existing":[112],"network,":[113],"through":[114],"we":[118],"figure":[119],"out":[120],"constraints":[121,143],"guaranteeing":[122],"diode":[128],"clipper.":[129],"Further":[130],"application":[131,190],"ring":[134],"modulator":[135],"does":[137],"not":[138],"lead":[139],"comparably":[141],"useful":[142],"convergence;":[146],"however,":[147],"also":[148],"this":[150,182],"circuit,":[151],"delimiter":[154],"has":[155],"magnitude":[157],"roughly":[158],"proportional":[159],"number":[162],"iterations":[164],"needed":[165],"solver":[168],"find":[170],"solution.":[172],"Together,":[173],"such":[174],"studies":[176],"foster":[177],"refinement":[178],"generalization":[180],"as":[184],"predictor,":[187],"potential":[189],"design":[193],"virtual":[195],"analogue":[196],"systems":[197],"real-time":[199],"effects.":[202]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":3}],"updated_date":"2026-08-28T12:50:07.497085","created_date":"2025-10-10T00:00:00"}
