{"id":"https://openalex.org/W1740537846","doi":"https://doi.org/10.1007/bfb0040399","title":"Converting affine recurrence equations to quasi-uniform recurrence equations","display_name":"Converting affine recurrence equations to quasi-uniform recurrence equations","publication_year":2006,"publication_date":"2006-08-03","ids":{"openalex":"https://openalex.org/W1740537846","doi":"https://doi.org/10.1007/bfb0040399","mag":"1740537846"},"language":"en","primary_location":{"id":"doi:10.1007/bfb0040399","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0040399","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","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/A5025005140","display_name":"Yoav Yaacoby","orcid":null},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]},{"id":"https://openalex.org/I2803209242","display_name":"University of California System","ror":"https://ror.org/00pjdza24","country_code":"US","type":"education","lineage":["https://openalex.org/I2803209242"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yoav Yaacoby","raw_affiliation_strings":["Electrical and Computer Engineering Dept., University of California, Santa Barbara","University of California"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Dept., University of California, Santa Barbara","institution_ids":["https://openalex.org/I154570441"]},{"raw_affiliation_string":"University of California","institution_ids":["https://openalex.org/I2803209242"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048690917","display_name":"P. Cappello","orcid":null},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]},{"id":"https://openalex.org/I2803209242","display_name":"University of California System","ror":"https://ror.org/00pjdza24","country_code":"US","type":"education","lineage":["https://openalex.org/I2803209242"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Peter R. Cappello","raw_affiliation_strings":["Computer Science Dept., University of California, Santa Barbara","University of California"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Dept., University of California, Santa Barbara","institution_ids":["https://openalex.org/I154570441"]},{"raw_affiliation_string":"University of California","institution_ids":["https://openalex.org/I2803209242"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.9771,"has_fulltext":false,"cited_by_count":38,"citation_normalized_percentile":{"value":0.73388952,"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":"319","last_page":"328"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9979000091552734,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9979000091552734,"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"}},{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9977999925613403,"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"}},{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/affine-transformation","display_name":"Affine transformation","score":0.7682733535766602},{"id":"https://openalex.org/keywords/simultaneous-equations","display_name":"Simultaneous equations","score":0.6272239089012146},{"id":"https://openalex.org/keywords/affine-coordinate-system","display_name":"Affine coordinate system","score":0.5905193090438843},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5826758742332458},{"id":"https://openalex.org/keywords/system-of-linear-equations","display_name":"System of linear equations","score":0.5342893600463867},{"id":"https://openalex.org/keywords/recurrence-relation","display_name":"Recurrence relation","score":0.5259171724319458},{"id":"https://openalex.org/keywords/independent-equation","display_name":"Independent equation","score":0.4933706820011139},{"id":"https://openalex.org/keywords/affine-combination","display_name":"Affine combination","score":0.4881945252418518},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.43167051672935486},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35524675250053406},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33797746896743774},{"id":"https://openalex.org/keywords/affine-space","display_name":"Affine space","score":0.2957232594490051},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.27927878499031067},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.14160093665122986}],"concepts":[{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.7682733535766602},{"id":"https://openalex.org/C170036204","wikidata":"https://www.wikidata.org/wiki/Q735660","display_name":"Simultaneous equations","level":3,"score":0.6272239089012146},{"id":"https://openalex.org/C95565831","wikidata":"https://www.wikidata.org/wiki/Q382698","display_name":"Affine coordinate system","level":4,"score":0.5905193090438843},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5826758742332458},{"id":"https://openalex.org/C94523830","wikidata":"https://www.wikidata.org/wiki/Q11203","display_name":"System of linear equations","level":2,"score":0.5342893600463867},{"id":"https://openalex.org/C201292218","wikidata":"https://www.wikidata.org/wiki/Q740970","display_name":"Recurrence relation","level":2,"score":0.5259171724319458},{"id":"https://openalex.org/C200602138","wikidata":"https://www.wikidata.org/wiki/Q16979193","display_name":"Independent equation","level":3,"score":0.4933706820011139},{"id":"https://openalex.org/C207221997","wikidata":"https://www.wikidata.org/wiki/Q938614","display_name":"Affine combination","level":3,"score":0.4881945252418518},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.43167051672935486},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35524675250053406},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33797746896743774},{"id":"https://openalex.org/C173110770","wikidata":"https://www.wikidata.org/wiki/Q382698","display_name":"Affine space","level":3,"score":0.2957232594490051},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.27927878499031067},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.14160093665122986}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/bfb0040399","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0040399","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.329.2220","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.329.2220","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.ucsb.edu/~cappello/papers/articles/Affine.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W161315898","https://openalex.org/W162183324","https://openalex.org/W1547562880","https://openalex.org/W1556423202","https://openalex.org/W1594652978","https://openalex.org/W1740537846","https://openalex.org/W1820065643","https://openalex.org/W1964875728","https://openalex.org/W1965273875","https://openalex.org/W1972602620","https://openalex.org/W1991227098","https://openalex.org/W2002252837","https://openalex.org/W2017369466","https://openalex.org/W2026656355","https://openalex.org/W2031144446","https://openalex.org/W2039660064","https://openalex.org/W2054388411","https://openalex.org/W2064130185","https://openalex.org/W2064213899","https://openalex.org/W2070013817","https://openalex.org/W2079092669","https://openalex.org/W2117039934","https://openalex.org/W2138245082","https://openalex.org/W2139378242","https://openalex.org/W2148631003","https://openalex.org/W2157211828","https://openalex.org/W2340365916","https://openalex.org/W2799004609"],"related_works":["https://openalex.org/W2460529040","https://openalex.org/W2184784635","https://openalex.org/W2038416447","https://openalex.org/W3023000303","https://openalex.org/W153415882","https://openalex.org/W4252428448","https://openalex.org/W2178949136","https://openalex.org/W2964008969","https://openalex.org/W1740537846","https://openalex.org/W2067301831"],"abstract_inverted_index":null,"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}