{"id":"https://openalex.org/W2883147807","doi":"https://doi.org/10.1007/978-3-319-96418-8_40","title":"Solving Polynomial Systems Using Numeric Gr\u00f6bner Bases","display_name":"Solving Polynomial Systems Using Numeric Gr\u00f6bner Bases","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2883147807","doi":"https://doi.org/10.1007/978-3-319-96418-8_40","mag":"2883147807"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-96418-8_40","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-96418-8_40","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":"book-chapter","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/A5074007224","display_name":"Daniel Lichtblau","orcid":"https://orcid.org/0000-0002-2299-008X"},"institutions":[{"id":"https://openalex.org/I65760639","display_name":"Wolfram Research (United States)","ror":"https://ror.org/03k118f17","country_code":"US","type":"company","lineage":["https://openalex.org/I65760639"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Daniel Lichtblau","raw_affiliation_strings":["Wolfram Research, Champaign, IL, USA"],"affiliations":[{"raw_affiliation_string":"Wolfram Research, Champaign, IL, USA","institution_ids":["https://openalex.org/I65760639"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5074007224"],"corresponding_institution_ids":["https://openalex.org/I65760639"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.4948,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.6550529,"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":"335","last_page":"342"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9998000264167786,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9904999732971191,"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9886999726295471,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/symbolic-computation","display_name":"Symbolic computation","score":0.644858717918396},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.621350884437561},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6018456220626831},{"id":"https://openalex.org/keywords/endomorphism","display_name":"Endomorphism","score":0.59815514087677},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5500510931015015},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5098942518234253},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.46638086438179016},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.400951623916626},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.34297415614128113},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34253567457199097},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2790747880935669},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27861320972442627},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.18425238132476807}],"concepts":[{"id":"https://openalex.org/C110812573","wikidata":"https://www.wikidata.org/wiki/Q175515","display_name":"Symbolic computation","level":2,"score":0.644858717918396},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.621350884437561},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6018456220626831},{"id":"https://openalex.org/C116858840","wikidata":"https://www.wikidata.org/wiki/Q1340800","display_name":"Endomorphism","level":2,"score":0.59815514087677},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5500510931015015},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5098942518234253},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.46638086438179016},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.400951623916626},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.34297415614128113},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34253567457199097},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2790747880935669},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27861320972442627},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.18425238132476807},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-96418-8_40","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-96418-8_40","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W150116139","https://openalex.org/W1454988622","https://openalex.org/W1481556851","https://openalex.org/W1483218536","https://openalex.org/W1500470736","https://openalex.org/W1529743226","https://openalex.org/W1843011993","https://openalex.org/W1974158837","https://openalex.org/W1982410706","https://openalex.org/W2038885250","https://openalex.org/W2042569450","https://openalex.org/W2059140748","https://openalex.org/W2066621894","https://openalex.org/W2077223725","https://openalex.org/W2077725083","https://openalex.org/W2079787805","https://openalex.org/W2099395370","https://openalex.org/W2156652875","https://openalex.org/W2319466955","https://openalex.org/W4213241083","https://openalex.org/W4238858352","https://openalex.org/W6811450589"],"related_works":["https://openalex.org/W4382500993","https://openalex.org/W1953984001","https://openalex.org/W2962902116","https://openalex.org/W4300500350","https://openalex.org/W2015333178","https://openalex.org/W2363922099","https://openalex.org/W908473976","https://openalex.org/W2384965142","https://openalex.org/W4251421746","https://openalex.org/W1895124089"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
