{"id":"https://openalex.org/W1601641457","doi":"https://doi.org/10.1007/978-3-540-75187-8_27","title":"Some Elimination Problems for Matrices","display_name":"Some Elimination Problems for Matrices","publication_year":2007,"publication_date":"2007-09-01","ids":{"openalex":"https://openalex.org/W1601641457","doi":"https://doi.org/10.1007/978-3-540-75187-8_27","mag":"1601641457"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-75187-8_27","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-75187-8_27","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/A5016942322","display_name":"Wilhelm Plesken","orcid":null},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Wilhelm Plesken","raw_affiliation_strings":["Lehrstuhl B f\u00fcr Mathematik, RWTH Aachen, Templergraben 64, D-52062 Aachen, Germany","Lehrstuhl B f\u00fcr Mathematik, RWTH Aachen, Aachen, Germany#TAB#"],"affiliations":[{"raw_affiliation_string":"Lehrstuhl B f\u00fcr Mathematik, RWTH Aachen, Templergraben 64, D-52062 Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]},{"raw_affiliation_string":"Lehrstuhl B f\u00fcr Mathematik, RWTH Aachen, Aachen, Germany#TAB#","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048450491","display_name":"Daniel Robertz","orcid":"https://orcid.org/0000-0003-1179-0012"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Daniel Robertz","raw_affiliation_strings":["Lehrstuhl B f\u00fcr Mathematik, RWTH Aachen, Templergraben 64, D-52062 Aachen, Germany","Lehrstuhl B f\u00fcr Mathematik, RWTH Aachen, Aachen, Germany#TAB#"],"affiliations":[{"raw_affiliation_string":"Lehrstuhl B f\u00fcr Mathematik, RWTH Aachen, Templergraben 64, D-52062 Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]},{"raw_affiliation_string":"Lehrstuhl B f\u00fcr Mathematik, RWTH Aachen, Aachen, Germany#TAB#","institution_ids":["https://openalex.org/I887968799"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5016942322"],"corresponding_institution_ids":["https://openalex.org/I887968799"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13029447,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"350","last_page":"359"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9991999864578247,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9991999864578247,"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/T12303","display_name":"Tensor decomposition and applications","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9871000051498413,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/polynomial","display_name":"Polynomial","score":0.6262831091880798},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.584053635597229},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.5263032913208008},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4912852644920349},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.4386497139930725},{"id":"https://openalex.org/keywords/matrix-polynomial","display_name":"Matrix polynomial","score":0.42793920636177063},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39632871747016907},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3713619112968445},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3269844055175781},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.18146413564682007},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07147949934005737},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.05703538656234741}],"concepts":[{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6262831091880798},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.584053635597229},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.5263032913208008},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4912852644920349},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.4386497139930725},{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.42793920636177063},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39632871747016907},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3713619112968445},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3269844055175781},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.18146413564682007},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07147949934005737},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.05703538656234741},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-540-75187-8_27","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-75187-8_27","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:publications.rwth-aachen.de:89949","is_oa":false,"landing_page_url":"https://publications.rwth-aachen.de/record/89949","pdf_url":null,"source":{"id":"https://openalex.org/S4306401033","display_name":"RWTH Publications (RWTH Aachen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887968799","host_organization_name":"RWTH Aachen University","host_organization_lineage":["https://openalex.org/I887968799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computer algebra in scientific computing : 10th international workshop, CASC 2007, Berlin, Germany, September 16-20, 2007 ; proceedings / Victor G. Ganzha ; Ernst W. Mayr ; Evgenii V. Vorozhtsov (eds.)","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W156666843","https://openalex.org/W1587264501","https://openalex.org/W1981832489","https://openalex.org/W1984446217","https://openalex.org/W2090397743","https://openalex.org/W2093131847","https://openalex.org/W3103827386","https://openalex.org/W4250721101"],"related_works":["https://openalex.org/W2056024401","https://openalex.org/W2149734642","https://openalex.org/W4311251537","https://openalex.org/W3216258873","https://openalex.org/W2185931218","https://openalex.org/W4320917455","https://openalex.org/W2617044949","https://openalex.org/W4205471980","https://openalex.org/W2365733060","https://openalex.org/W4298079332"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-24T08:23:43.765630","created_date":"2025-10-10T00:00:00"}
