{"id":"https://openalex.org/W1999291634","doi":"https://doi.org/10.1002/(sici)1097-024x(199604)26:4<467::aid-spe17>3.0.co;2-m","title":"A Simple Solver for Linear Equations Containing Nonlinear Operators","display_name":"A Simple Solver for Linear Equations Containing Nonlinear Operators","publication_year":1996,"publication_date":"1996-04-01","ids":{"openalex":"https://openalex.org/W1999291634","doi":"https://doi.org/10.1002/(sici)1097-024x(199604)26:4<467::aid-spe17>3.0.co;2-m","mag":"1999291634"},"language":"en","primary_location":{"id":"doi:10.1002/(sici)1097-024x(199604)26:4<467::aid-spe17>3.0.co;2-m","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-024x(199604)26:4<467::aid-spe17>3.0.co;2-m","pdf_url":null,"source":{"id":"https://openalex.org/S122199241","display_name":"Software Practice and Experience","issn_l":"0038-0644","issn":["0038-0644","1097-024X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Software: Practice and Experience","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/A5068702687","display_name":"Norman F. Ramsey","orcid":"https://orcid.org/0000-0002-5435-1135"},"institutions":[{"id":"https://openalex.org/I4210107053","display_name":"Core Competence","ror":"https://ror.org/012cc0c94","country_code":"US","type":"company","lineage":["https://openalex.org/I4210107053"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"NORMAN RAMSEY","raw_affiliation_strings":["Bell Communications Research, 445 South St, Morristown, NJ 07960, USA"],"affiliations":[{"raw_affiliation_string":"Bell Communications Research, 445 South St, Morristown, NJ 07960, USA","institution_ids":["https://openalex.org/I4210107053"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5068702687"],"corresponding_institution_ids":["https://openalex.org/I4210107053"],"apc_list":{"value":4220,"currency":"USD","value_usd":4220},"apc_paid":null,"fwci":1.7077,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.86699293,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"26","issue":"4","first_page":"467","last_page":"487"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.8535000085830688,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.8535000085830688,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/solver","display_name":"Solver","score":0.8390948176383972},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6790889501571655},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.583642840385437},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.45121127367019653},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.41915470361709595},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3752855956554413},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3611847758293152},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.35271546244621277},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.24719491600990295}],"concepts":[{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.8390948176383972},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6790889501571655},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.583642840385437},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.45121127367019653},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.41915470361709595},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3752855956554413},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3611847758293152},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.35271546244621277},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.24719491600990295},{"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1002/(sici)1097-024x(199604)26:4<467::aid-spe17>3.0.co;2-m","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-024x(199604)26:4<467::aid-spe17>3.0.co;2-m","pdf_url":null,"source":{"id":"https://openalex.org/S122199241","display_name":"Software Practice and Experience","issn_l":"0038-0644","issn":["0038-0644","1097-024X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Software: Practice and Experience","raw_type":"journal-article"},{"id":"pmh:oai:docs.lib.purdue.edu:cstech-2241","is_oa":false,"landing_page_url":"https://docs.lib.purdue.edu/cstech/1242","pdf_url":null,"source":{"id":"https://openalex.org/S4377196310","display_name":"Purdue e-Pubs (Purdue University System)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801333002","host_organization_name":"Purdue University System","host_organization_lineage":["https://openalex.org/I2801333002"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Department of Computer Science Technical Reports","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.39.8144","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.39.8144","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.eecs.harvard.edu/~nr/pubs/solver.ps","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Quality Education","score":0.8500000238418579,"id":"https://metadata.un.org/sdg/4"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1594664896","https://openalex.org/W2012301138","https://openalex.org/W2032143644","https://openalex.org/W2036748304","https://openalex.org/W2053913299","https://openalex.org/W2090138862","https://openalex.org/W2093846437","https://openalex.org/W2132233302","https://openalex.org/W2132331020","https://openalex.org/W2342082360","https://openalex.org/W2611235536"],"related_works":["https://openalex.org/W1585007175","https://openalex.org/W2382521049","https://openalex.org/W2186864281","https://openalex.org/W2144385241","https://openalex.org/W4300101996","https://openalex.org/W4255427455","https://openalex.org/W4253593777","https://openalex.org/W2951497643","https://openalex.org/W1966025497","https://openalex.org/W2165950148"],"abstract_inverted_index":{"This":[0],"paper":[1,119],"presents":[2],"a":[3,34,47,108],"simple":[4],"equation":[5],"solver.":[6],"The":[7,31,55,78,98,144],"solver":[8,32,79,99],"finds":[9],"solutions":[10],"for":[11],"sets":[12],"of":[13,49,73,82,91],"linear":[14],"equations":[15,50],"extended":[16],"with":[17],"several":[18],"nonlinear":[19,44,68,71],"operators,":[20,69],"including":[21,70],"integer":[22],"division":[23],"and":[24,28,62,89],"modulus,":[25],"sign":[26],"extension,":[27],"bit":[29],"slicing.":[30],"uses":[33],"new":[35],"technique":[36],"called":[37],"{\\em":[38],"balancing},":[39],"which":[40,111],"can":[41],"eliminate":[42],"some":[43,67],"operators":[45],"from":[46],"set":[48],"before":[51],"applying":[52],"Gaussian":[53],"elimination.":[54],"solver's":[56],"principal":[57],"advantages":[58],"are":[59],"its":[60,63],"simplicity":[61],"ability":[64],"to":[65,151],"handle":[66],"functions":[72],"more":[74,132],"than":[75,134],"one":[76],"variable.":[77],"is":[80,100,120,125],"part":[81],"an":[83],"application":[84],"generator":[85],"that":[86,113,124],"provides":[87],"encoding":[88],"decoding":[90],"machine":[92],"instructions":[93],"based":[94,156],"on":[95,157],"equational":[96],"specifications.":[97],"presented":[101,160],"not":[102],"as":[103,107],"pseudo":[104],"code":[105,115,123,130],"but":[106,137],"literate":[109],"program,":[110],"guarantees":[112],"the":[114,118,121,142,158],"shown":[116],"in":[117],"same":[122],"actually":[126],"used.":[127],"Using":[128],"real":[129],"exposes":[131],"detail":[133,145],"using":[135],"pseudocode,":[136],"literate-programming":[138],"techniques":[139,159],"help":[140],"manage":[141],"detail.":[143],"should":[146],"benefit":[147],"readers":[148],"who":[149],"want":[150],"implement":[152],"their":[153],"own":[154],"solvers":[155],"here.":[161]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}