{"id":"https://openalex.org/W4246379178","doi":"https://doi.org/10.1007/978-0-387-09766-4_196","title":"Unimodular Transformations","display_name":"Unimodular Transformations","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W4246379178","doi":"https://doi.org/10.1007/978-0-387-09766-4_196"},"language":"en","primary_location":{"id":"doi:10.1007/978-0-387-09766-4_196","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-0-387-09766-4_196","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Encyclopedia of Parallel Computing","raw_type":"book-chapter"},"type":"reference-entry","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/A5070505048","display_name":"Allan Gottlieb","orcid":"https://orcid.org/0000-0002-9645-6445"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Allan Gottlieb","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047818597","display_name":"Utpal Banerjee","orcid":"https://orcid.org/0000-0001-6247-0284"},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Utpal Banerjee","raw_affiliation_strings":["Dr.,\n        Department of Computer Science, University of California at Irvine, 92697-3435, Irvine, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dr.,\n        Department of Computer Science, University of California at Irvine, 92697-3435, Irvine, CA, USA","institution_ids":["https://openalex.org/I204250578"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087688453","display_name":"Gianfranco Bilardi","orcid":"https://orcid.org/0000-0003-0303-8349"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gianfranco Bilardi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048624224","display_name":"Geppino Pucci","orcid":"https://orcid.org/0000-0001-9189-6938"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Geppino Pucci","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034609282","display_name":"William D. Carlson","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"William Carlson","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5014999599","display_name":"Phillip Merkey","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Phillip Merkey","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"2103","last_page":"2112"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.03669999912381172,"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":0.03669999912381172,"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/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.030500000342726707,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12037","display_name":"Algebraic and Geometric Analysis","score":0.029899999499320984,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/unimodular-matrix","display_name":"Unimodular matrix","score":0.606505274772644},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3219877779483795},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.20317605137825012},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09265521168708801}],"concepts":[{"id":"https://openalex.org/C201958917","wikidata":"https://www.wikidata.org/wiki/Q1367055","display_name":"Unimodular matrix","level":2,"score":0.606505274772644},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3219877779483795},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20317605137825012},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09265521168708801}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-0-387-09766-4_196","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-0-387-09766-4_196","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Encyclopedia of Parallel Computing","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":0,"referenced_works":[],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2011745869","https://openalex.org/W2088028898","https://openalex.org/W1974942973","https://openalex.org/W2950905816","https://openalex.org/W211627054","https://openalex.org/W1608437562","https://openalex.org/W2083668208","https://openalex.org/W3141916192","https://openalex.org/W2171197936"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}