{"id":"https://openalex.org/W1532774654","doi":"https://doi.org/10.1007/978-3-642-04103-7_1","title":"On m-Interlacing Solutions of Linear Difference Equations","display_name":"On m-Interlacing Solutions of Linear Difference Equations","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W1532774654","doi":"https://doi.org/10.1007/978-3-642-04103-7_1","mag":"1532774654"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-04103-7_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-04103-7_1","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/A5066677758","display_name":"\u0421. \u0410. \u0410\u0431\u0440\u0430\u043c\u043e\u0432","orcid":null},"institutions":[{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"government","lineage":["https://openalex.org/I1313323035"]},{"id":"https://openalex.org/I2801535751","display_name":"Dorodnitsyn Computing Centre","ror":"https://ror.org/01vgda714","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2801535751","https://openalex.org/I4210124601"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"S. A. Abramov","raw_affiliation_strings":["Computing Centre of the Russian Academy of Sciences, Moscow, Russia","Computing Centre of the Russian Academy of Sciences, Moscow, Russia 119991,GSP-1#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computing Centre of the Russian Academy of Sciences, Moscow, Russia","institution_ids":["https://openalex.org/I2801535751"]},{"raw_affiliation_string":"Computing Centre of the Russian Academy of Sciences, Moscow, Russia 119991,GSP-1#TAB#","institution_ids":["https://openalex.org/I1313323035"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5105411881","display_name":"Moulay A. Barkatou","orcid":"https://orcid.org/0000-0001-9892-9448"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I65806277","display_name":"Universit\u00e9 de Limoges","ror":"https://ror.org/02cp04407","country_code":"FR","type":"education","lineage":["https://openalex.org/I65806277"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"M. A. Barkatou","raw_affiliation_strings":["Institute XLIM, Universit\u00e9 de Limoges, CNRS, Limoges cedex, France","Institute XLIM, Universit\u00e9 de Limoges, CNRS, Limoges cedex, France 87060#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute XLIM, Universit\u00e9 de Limoges, CNRS, Limoges cedex, France","institution_ids":["https://openalex.org/I65806277","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Institute XLIM, Universit\u00e9 de Limoges, CNRS, Limoges cedex, France 87060#TAB#","institution_ids":["https://openalex.org/I65806277","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001081549","display_name":"D. E. Khmelnov","orcid":"https://orcid.org/0000-0002-4602-2382"},"institutions":[{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"government","lineage":["https://openalex.org/I1313323035"]},{"id":"https://openalex.org/I2801535751","display_name":"Dorodnitsyn Computing Centre","ror":"https://ror.org/01vgda714","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2801535751","https://openalex.org/I4210124601"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"D. E. Khmelnov","raw_affiliation_strings":["Computing Centre of the Russian Academy of Sciences, Moscow, Russia","Computing Centre of the Russian Academy of Sciences, Moscow, Russia 119991,GSP-1#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computing Centre of the Russian Academy of Sciences, Moscow, Russia","institution_ids":["https://openalex.org/I2801535751"]},{"raw_affiliation_string":"Computing Centre of the Russian Academy of Sciences, Moscow, Russia 119991,GSP-1#TAB#","institution_ids":["https://openalex.org/I1313323035"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.2626,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.88412017,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"17"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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":0.9772999882698059,"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"}},{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9768999814987183,"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/interlacing","display_name":"Interlacing","score":0.9464906454086304},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7278256416320801},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3646692931652069},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3445173501968384},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23649004101753235},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.18041089177131653}],"concepts":[{"id":"https://openalex.org/C95439218","wikidata":"https://www.wikidata.org/wiki/Q1666173","display_name":"Interlacing","level":2,"score":0.9464906454086304},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7278256416320801},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3646692931652069},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3445173501968384},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23649004101753235},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.18041089177131653}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-04103-7_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-04103-7_1","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":9,"referenced_works":["https://openalex.org/W602391989","https://openalex.org/W1510531757","https://openalex.org/W2012822158","https://openalex.org/W2032189202","https://openalex.org/W2058195041","https://openalex.org/W2085350446","https://openalex.org/W2094144431","https://openalex.org/W2119371075","https://openalex.org/W2132534104"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W2362624420","https://openalex.org/W2981992994","https://openalex.org/W1485206477","https://openalex.org/W1560998391","https://openalex.org/W2068380795","https://openalex.org/W2374179994","https://openalex.org/W2545335290","https://openalex.org/W3104221409"],"abstract_inverted_index":null,"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}