{"id":"https://openalex.org/W3000283956","doi":"https://doi.org/10.1007/s11075-020-01045-x","title":"Solving decomposable sparse systems","display_name":"Solving decomposable sparse systems","publication_year":2021,"publication_date":"2021-01-10","ids":{"openalex":"https://openalex.org/W3000283956","doi":"https://doi.org/10.1007/s11075-020-01045-x","mag":"3000283956"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-020-01045-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-020-01045-x","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2001.04228","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Taylor Brysiewicz","orcid":"https://orcid.org/0000-0003-3140-9944"},"institutions":[{"id":"https://openalex.org/I4210091327","display_name":"Max Planck Institute for Mathematics in the Sciences","ror":"https://ror.org/00ez2he07","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210091327"]},{"id":"https://openalex.org/I4210119712","display_name":"Max Planck Institute for Mathematics","ror":"https://ror.org/02dh8ja68","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210119712"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Taylor Brysiewicz","raw_affiliation_strings":["Max Planck Institute for Mathematics in the Sciences, Inselstra\u00dfe 22, 04103, Leipzig, Germany","Max Planck Institute for Mathematics in the Sciences Leipzig Germany"],"raw_orcid":"https://orcid.org/0000-0003-3140-9944","affiliations":[{"raw_affiliation_string":"Max Planck Institute for Mathematics in the Sciences, Inselstra\u00dfe 22, 04103, Leipzig, Germany","institution_ids":["https://openalex.org/I4210091327"]},{"raw_affiliation_string":"Max Planck Institute for Mathematics in the Sciences Leipzig Germany","institution_ids":["https://openalex.org/I4210119712","https://openalex.org/I4210091327"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039894662","display_name":"Jose Israel Rodriguez","orcid":"https://orcid.org/0000-0003-3140-9944"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jose Israel Rodriguez","raw_affiliation_strings":["Department of Mathematics, University of Wisconsin, Madison, WI, 53706, USA","Department of Mathematics University of Wisconsin\u2010Madison USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Wisconsin, Madison, WI, 53706, USA","institution_ids":["https://openalex.org/I135310074"]},{"raw_affiliation_string":"Department of Mathematics University of Wisconsin\u2010Madison USA","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078229263","display_name":"Frank Sottile","orcid":"https://orcid.org/0000-0003-0087-7120"},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Frank Sottile","raw_affiliation_strings":["Department of Mathematics, Texas A&M University, College Station, TX, 77843, USA","Department of Mathematics Texas A&M University College Station USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Texas A&M University, College Station, TX, 77843, USA","institution_ids":["https://openalex.org/I91045830"]},{"raw_affiliation_string":"Department of Mathematics Texas A&M University College Station USA","institution_ids":["https://openalex.org/I91045830"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044824446","display_name":"Thomas Yahl","orcid":"https://orcid.org/0000-0002-3985-4754"},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Thomas Yahl","raw_affiliation_strings":["Department of Mathematics, Texas A&M University, College Station, TX, 77843, USA","Department of Mathematics Texas A&M University College Station USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Texas A&M University, College Station, TX, 77843, USA","institution_ids":["https://openalex.org/I91045830"]},{"raw_affiliation_string":"Department of Mathematics Texas A&M University College Station USA","institution_ids":["https://openalex.org/I91045830"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.1522,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.46717472,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"88","issue":"1","first_page":"453","last_page":"474"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9998000264167786,"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":0.9998000264167786,"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9980999827384949,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9908000230789185,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/decomposition","display_name":"Decomposition","score":0.7556072473526001},{"id":"https://openalex.org/keywords/galois-theory","display_name":"Galois theory","score":0.6772691607475281},{"id":"https://openalex.org/keywords/galois-group","display_name":"Galois group","score":0.5943303108215332},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5903140902519226},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5581821203231812},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.537105143070221},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34176892042160034},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3369377851486206},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2697828710079193}],"concepts":[{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.7556072473526001},{"id":"https://openalex.org/C94398972","wikidata":"https://www.wikidata.org/wiki/Q92552","display_name":"Galois theory","level":2,"score":0.6772691607475281},{"id":"https://openalex.org/C67536143","wikidata":"https://www.wikidata.org/wiki/Q730384","display_name":"Galois group","level":2,"score":0.5943303108215332},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5903140902519226},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5581821203231812},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.537105143070221},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34176892042160034},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3369377851486206},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2697828710079193},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s11075-020-01045-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-020-01045-x","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2001.04228","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2001.04228","pdf_url":"https://arxiv.org/pdf/2001.04228","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:3000283956","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2001.04228.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.2001.04228","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2001.04228","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2001.04228","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2001.04228","pdf_url":"https://arxiv.org/pdf/2001.04228","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[{"score":0.5899999737739563,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G5194839113","display_name":null,"funder_award_id":"636314","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"}],"funders":[{"id":"https://openalex.org/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W644150847","https://openalex.org/W1536409494","https://openalex.org/W1570420806","https://openalex.org/W1570973162","https://openalex.org/W1571614612","https://openalex.org/W1799078733","https://openalex.org/W1965520434","https://openalex.org/W1989923040","https://openalex.org/W2028576930","https://openalex.org/W2037009986","https://openalex.org/W2048002525","https://openalex.org/W2051170661","https://openalex.org/W2066409969","https://openalex.org/W2073752546","https://openalex.org/W2091186243","https://openalex.org/W2109596995","https://openalex.org/W2143023483","https://openalex.org/W2152829311","https://openalex.org/W2158516852","https://openalex.org/W2497540511","https://openalex.org/W2560903687","https://openalex.org/W2784668700","https://openalex.org/W2963247163","https://openalex.org/W2963742618","https://openalex.org/W3033397768","https://openalex.org/W3100261291","https://openalex.org/W4237766344","https://openalex.org/W4238102028","https://openalex.org/W4317035451","https://openalex.org/W7019032742"],"related_works":["https://openalex.org/W2962892663","https://openalex.org/W2001411368","https://openalex.org/W352806925","https://openalex.org/W2052179590","https://openalex.org/W3128960814","https://openalex.org/W2166030058","https://openalex.org/W3036808918","https://openalex.org/W2503997773","https://openalex.org/W2043606168","https://openalex.org/W2088922099","https://openalex.org/W1965523854","https://openalex.org/W2158582225","https://openalex.org/W3139336166","https://openalex.org/W2093060818","https://openalex.org/W2964273672","https://openalex.org/W1969466615","https://openalex.org/W2625903537","https://openalex.org/W2230948408","https://openalex.org/W2270162940","https://openalex.org/W1965952671"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
