{"id":"https://openalex.org/W2741587789","doi":"https://doi.org/10.1007/s11045-018-0596-y","title":"Certified non-conservative tests for the structural stability of discrete multidimensional systems","display_name":"Certified non-conservative tests for the structural stability of discrete multidimensional systems","publication_year":2018,"publication_date":"2018-06-30","ids":{"openalex":"https://openalex.org/W2741587789","doi":"https://doi.org/10.1007/s11045-018-0596-y","mag":"2741587789"},"language":"en","primary_location":{"id":"doi:10.1007/s11045-018-0596-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11045-018-0596-y","pdf_url":null,"source":{"id":"https://openalex.org/S198285748","display_name":"Multidimensional Systems and Signal Processing","issn_l":"0923-6082","issn":["0923-6082","1573-0824"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multidimensional Systems and Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://inria.hal.science/hal-01951765","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027910138","display_name":"Youcef Bouzidi","orcid":"https://orcid.org/0000-0002-8757-7608"},"institutions":[{"id":"https://openalex.org/I4210138412","display_name":"Centre Inria de l'Universit\u00e9 de Lille","ror":"https://ror.org/04eej9726","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210138412"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Y. Bouzidi","raw_affiliation_strings":["Non-A Project, Inria Lille - Nord Europe, 40 Avenue Halley, Bat. A, Park Plaza, 59650, Villeneuve d\u2019Ascq, France","GAIA - G\u00e9om\u00e9trie, Alg\u00e8bre, Informatique, Applications (Parc Scientifique de la Haute Borne 40, avenue Halley B\u00e2t.A, Park Plaza 59650 Villeneuve d'Ascq - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Non-A Project, Inria Lille - Nord Europe, 40 Avenue Halley, Bat. A, Park Plaza, 59650, Villeneuve d\u2019Ascq, France","institution_ids":["https://openalex.org/I4210138412"]},{"raw_affiliation_string":"GAIA - G\u00e9om\u00e9trie, Alg\u00e8bre, Informatique, Applications (Parc Scientifique de la Haute Borne 40, avenue Halley B\u00e2t.A, Park Plaza 59650 Villeneuve d'Ascq - France)","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083637787","display_name":"Alban Quadrat","orcid":"https://orcid.org/0000-0002-6466-2172"},"institutions":[{"id":"https://openalex.org/I3017942884","display_name":"Institut de Math\u00e9matiques de Jussieu-Paris Rive Gauche","ror":"https://ror.org/03fk87k11","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I3017942884","https://openalex.org/I39804081","https://openalex.org/I4210141950"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210138412","display_name":"Centre Inria de l'Universit\u00e9 de Lille","ror":"https://ror.org/04eej9726","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210138412"]},{"id":"https://openalex.org/I4403386633","display_name":"OURAGAN: Outils de R\u00e9solution Alg\u00e9briques pour la G\u00e9om\u00e9trie et ses Applications","ror":"https://ror.org/01rrvyp50","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I204730241","https://openalex.org/I204730241","https://openalex.org/I3017942884","https://openalex.org/I39804081","https://openalex.org/I39804081","https://openalex.org/I4210141950","https://openalex.org/I4403386633","https://openalex.org/I4405255748","https://openalex.org/I4405257605"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"A. Quadrat","raw_affiliation_strings":["Non-A Project, Inria Lille - Nord Europe, 40 Avenue Halley, Bat. A, Park Plaza, 59650, Villeneuve d\u2019Ascq, France","IMJ-PRG (UMR_7586) - Institut de Math\u00e9matiques de Jussieu - Paris Rive Gauche (UPMC - 4 place Jussieu, Case 247 - 75252 Paris Cedex 5\r\nUP7D - Campus des Grands Moulins - B\u00e2timent Sophie Germain, Case 7012- 75205 PARIS Cedex 13 - France)","OURAGAN - OUtils de R\u00e9solution Alg\u00e9briques pour la G\u00e9om\u00e9trie et ses ApplicatioNs (4 place Jussieu 75005 Paris - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Non-A Project, Inria Lille - Nord Europe, 40 Avenue Halley, Bat. A, Park Plaza, 59650, Villeneuve d\u2019Ascq, France","institution_ids":["https://openalex.org/I4210138412"]},{"raw_affiliation_string":"IMJ-PRG (UMR_7586) - Institut de Math\u00e9matiques de Jussieu - Paris Rive Gauche (UPMC - 4 place Jussieu, Case 247 - 75252 Paris Cedex 5\r\nUP7D - Campus des Grands Moulins - B\u00e2timent Sophie Germain, Case 7012- 75205 PARIS Cedex 13 - France)","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I3017942884"]},{"raw_affiliation_string":"OURAGAN - OUtils de R\u00e9solution Alg\u00e9briques pour la G\u00e9om\u00e9trie et ses ApplicatioNs (4 place Jussieu 75005 Paris - France)","institution_ids":["https://openalex.org/I4403386633"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016765679","display_name":"Fabrice Rouillier","orcid":"https://orcid.org/0009-0004-2972-822X"},"institutions":[{"id":"https://openalex.org/I3017942884","display_name":"Institut de Math\u00e9matiques de Jussieu-Paris Rive Gauche","ror":"https://ror.org/03fk87k11","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I3017942884","https://openalex.org/I39804081","https://openalex.org/I4210141950"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4403386633","display_name":"OURAGAN: Outils de R\u00e9solution Alg\u00e9briques pour la G\u00e9om\u00e9trie et ses Applications","ror":"https://ror.org/01rrvyp50","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I204730241","https://openalex.org/I204730241","https://openalex.org/I3017942884","https://openalex.org/I39804081","https://openalex.org/I39804081","https://openalex.org/I4210141950","https://openalex.org/I4403386633","https://openalex.org/I4405255748","https://openalex.org/I4405257605"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"F. Rouillier","raw_affiliation_strings":["Ouragan Project, Inria Paris, Institut de Math\u00e9matiques de Jussieu-Paris Rive Gauche, UPMC, 4 Place Jussieu, 75005, Paris, France","SU FM - Sorbonne Universit\u00e9 - Facult\u00e9 de M\u00e9decine (4 place Jussieu - 75005 Paris - France)","IMJ-PRG (UMR_7586) - Institut de Math\u00e9matiques de Jussieu - Paris Rive Gauche (UPMC - 4 place Jussieu, Case 247 - 75252 Paris Cedex 5\r\nUP7D - Campus des Grands Moulins - B\u00e2timent Sophie Germain, Case 7012- 75205 PARIS Cedex 13 - France)","OURAGAN - OUtils de R\u00e9solution Alg\u00e9briques pour la G\u00e9om\u00e9trie et ses ApplicatioNs (4 place Jussieu 75005 Paris - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ouragan Project, Inria Paris, Institut de Math\u00e9matiques de Jussieu-Paris Rive Gauche, UPMC, 4 Place Jussieu, 75005, Paris, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I3017942884","https://openalex.org/I4403386633"]},{"raw_affiliation_string":"SU FM - Sorbonne Universit\u00e9 - Facult\u00e9 de M\u00e9decine (4 place Jussieu - 75005 Paris - France)","institution_ids":["https://openalex.org/I39804081"]},{"raw_affiliation_string":"IMJ-PRG (UMR_7586) - Institut de Math\u00e9matiques de Jussieu - Paris Rive Gauche (UPMC - 4 place Jussieu, Case 247 - 75252 Paris Cedex 5\r\nUP7D - Campus des Grands Moulins - B\u00e2timent Sophie Germain, Case 7012- 75205 PARIS Cedex 13 - France)","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I3017942884"]},{"raw_affiliation_string":"OURAGAN - OUtils de R\u00e9solution Alg\u00e9briques pour la G\u00e9om\u00e9trie et ses ApplicatioNs (4 place Jussieu 75005 Paris - France)","institution_ids":["https://openalex.org/I4403386633"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5027910138"],"corresponding_institution_ids":["https://openalex.org/I4210138412"],"apc_list":null,"apc_paid":null,"fwci":1.716,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.85639256,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"30","issue":"3","first_page":"1205","last_page":"1235"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9994999766349792,"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":0.9994999766349792,"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/T10142","display_name":"Formal Methods in Verification","score":0.9984999895095825,"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":0.9901999831199646,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6513592004776001},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5614184141159058},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47687989473342896},{"id":"https://openalex.org/keywords/rational-function","display_name":"Rational function","score":0.4744197726249695},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4620475172996521},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.4524669349193573},{"id":"https://openalex.org/keywords/unit","display_name":"Unit (ring theory)","score":0.44923311471939087},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3748425543308258},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36315667629241943},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32802116870880127},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3149072527885437},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.25882458686828613},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1347535252571106}],"concepts":[{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6513592004776001},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5614184141159058},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47687989473342896},{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.4744197726249695},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4620475172996521},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.4524669349193573},{"id":"https://openalex.org/C122637931","wikidata":"https://www.wikidata.org/wiki/Q118084","display_name":"Unit (ring theory)","level":2,"score":0.44923311471939087},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3748425543308258},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36315667629241943},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32802116870880127},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3149072527885437},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.25882458686828613},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1347535252571106},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11045-018-0596-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11045-018-0596-y","pdf_url":null,"source":{"id":"https://openalex.org/S198285748","display_name":"Multidimensional Systems and Signal Processing","issn_l":"0923-6082","issn":["0923-6082","1573-0824"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multidimensional Systems and Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01951765v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01951765","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://link.springer.com/article/10.1007%2Fs11045-018-0596-y","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01951765v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01951765","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://link.springer.com/article/10.1007%2Fs11045-018-0596-y","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7440665756","display_name":null,"funder_award_id":"13-BS03-0005","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W1480885588","https://openalex.org/W1966047455","https://openalex.org/W1968249360","https://openalex.org/W1973993014","https://openalex.org/W1986084578","https://openalex.org/W1993142027","https://openalex.org/W2006394656","https://openalex.org/W2007391649","https://openalex.org/W2011693299","https://openalex.org/W2012079420","https://openalex.org/W2043337752","https://openalex.org/W2048290281","https://openalex.org/W2065366926","https://openalex.org/W2072205301","https://openalex.org/W2073237150","https://openalex.org/W2077961479","https://openalex.org/W2089339786","https://openalex.org/W2089833049","https://openalex.org/W2093063936","https://openalex.org/W2100793025","https://openalex.org/W2104223485","https://openalex.org/W2107996047","https://openalex.org/W2120437557","https://openalex.org/W2126466819","https://openalex.org/W2128195597","https://openalex.org/W2128687423","https://openalex.org/W2130918732","https://openalex.org/W2137058584","https://openalex.org/W2138695984","https://openalex.org/W2153283190","https://openalex.org/W2162819741","https://openalex.org/W2292961990","https://openalex.org/W2318268489","https://openalex.org/W2319466955","https://openalex.org/W2397762352","https://openalex.org/W2520361344","https://openalex.org/W2730142613","https://openalex.org/W2765193492","https://openalex.org/W2766693063","https://openalex.org/W3217399827","https://openalex.org/W4229917934","https://openalex.org/W4246432872","https://openalex.org/W4255213956","https://openalex.org/W4300209530","https://openalex.org/W6680315970"],"related_works":["https://openalex.org/W611386996","https://openalex.org/W2371343292","https://openalex.org/W629290331","https://openalex.org/W617685022","https://openalex.org/W1509983653","https://openalex.org/W3215563689","https://openalex.org/W610590827","https://openalex.org/W591599671","https://openalex.org/W1556748146","https://openalex.org/W2164267737"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":6},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1}],"updated_date":"2026-06-19T17:40:00.097472","created_date":"2025-10-10T00:00:00"}
