{"id":"https://openalex.org/W1843011993","doi":"https://doi.org/10.1007/978-3-540-87827-8_23","title":"Floating-Point Gr\u00f6bner Basis Computation with Ill-conditionedness Estimation","display_name":"Floating-Point Gr\u00f6bner Basis Computation with Ill-conditionedness Estimation","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W1843011993","doi":"https://doi.org/10.1007/978-3-540-87827-8_23","mag":"1843011993"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-87827-8_23","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-87827-8_23","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/A5110109692","display_name":"Tateaki Sasaki","orcid":null},"institutions":[{"id":"https://openalex.org/I146399215","display_name":"University of Tsukuba","ror":"https://ror.org/02956yf07","country_code":"JP","type":"education","lineage":["https://openalex.org/I146399215"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Tateaki Sasaki","raw_affiliation_strings":["Institute of Mathematics, University of Tsukuba, Tsukuba-shi, Ibaraki, 305-8571, Japan","Institute of Mathematics, University of Tsukuba, Tsukuba-shi, Japan 305-8571#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, University of Tsukuba, Tsukuba-shi, Ibaraki, 305-8571, Japan","institution_ids":["https://openalex.org/I146399215"]},{"raw_affiliation_string":"Institute of Mathematics, University of Tsukuba, Tsukuba-shi, Japan 305-8571#TAB#","institution_ids":["https://openalex.org/I146399215"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073108584","display_name":"Fujio Kako","orcid":null},"institutions":[{"id":"https://openalex.org/I98885092","display_name":"Nara Women's University","ror":"https://ror.org/05kzadn81","country_code":"JP","type":"education","lineage":["https://openalex.org/I98885092"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Fujio Kako","raw_affiliation_strings":["Department of Comp. Sci., Nara Women\u2019s University, Nara-shi, Nara, 630-8506, Japan","Department of Comp. Sci., Nara Women's University, Nara-shi, Nara, Japan 630-8506#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Comp. Sci., Nara Women\u2019s University, Nara-shi, Nara, 630-8506, Japan","institution_ids":["https://openalex.org/I98885092"]},{"raw_affiliation_string":"Department of Comp. Sci., Nara Women's University, Nara-shi, Nara, Japan 630-8506#TAB#","institution_ids":["https://openalex.org/I98885092"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5110109692"],"corresponding_institution_ids":["https://openalex.org/I146399215"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":3.0892,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.90942106,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"278","last_page":"292"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9987000226974487,"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":0.9987000226974487,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9952999949455261,"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9785000085830688,"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/computation","display_name":"Computation","score":0.7780935764312744},{"id":"https://openalex.org/keywords/floating-point","display_name":"Floating point","score":0.7497997283935547},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7159391641616821},{"id":"https://openalex.org/keywords/instability","display_name":"Instability","score":0.5972133874893188},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5952250957489014},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.551372766494751},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5132439136505127},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.5021650791168213},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.41795480251312256},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3716614246368408},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2637825310230255},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07086482644081116},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.07054644823074341},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0605236291885376}],"concepts":[{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.7780935764312744},{"id":"https://openalex.org/C84211073","wikidata":"https://www.wikidata.org/wiki/Q117879","display_name":"Floating point","level":2,"score":0.7497997283935547},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7159391641616821},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.5972133874893188},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5952250957489014},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.551372766494751},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5132439136505127},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5021650791168213},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.41795480251312256},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3716614246368408},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2637825310230255},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07086482644081116},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.07054644823074341},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0605236291885376},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-87827-8_23","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-87827-8_23","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W64656188","https://openalex.org/W150116139","https://openalex.org/W1500470736","https://openalex.org/W1529743226","https://openalex.org/W1559123761","https://openalex.org/W1843011993","https://openalex.org/W1982410706","https://openalex.org/W2026792776","https://openalex.org/W2042842356","https://openalex.org/W2066621894","https://openalex.org/W2079787805","https://openalex.org/W2091528806","https://openalex.org/W2100279776","https://openalex.org/W2163305323","https://openalex.org/W2319466955","https://openalex.org/W4250501683","https://openalex.org/W4285719527","https://openalex.org/W6830162537"],"related_works":["https://openalex.org/W2022300913","https://openalex.org/W1570780624","https://openalex.org/W14400985","https://openalex.org/W2322569264","https://openalex.org/W2093673119","https://openalex.org/W2257349530","https://openalex.org/W2077461433","https://openalex.org/W2120056071","https://openalex.org/W2000063485","https://openalex.org/W2055757595"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
