{"id":"https://openalex.org/W3016314298","doi":"https://doi.org/10.1007/s11075-020-01018-0","title":"On preconditioning and solving an extended class of interval parametric linear systems","display_name":"On preconditioning and solving an extended class of interval parametric linear systems","publication_year":2020,"publication_date":"2020-10-25","ids":{"openalex":"https://openalex.org/W3016314298","doi":"https://doi.org/10.1007/s11075-020-01018-0","mag":"3016314298"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-020-01018-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-020-01018-0","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/2004.09209","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030859159","display_name":"Iwona Skalna","orcid":"https://orcid.org/0000-0001-5707-7525"},"institutions":[{"id":"https://openalex.org/I686019","display_name":"AGH University of Krakow","ror":"https://ror.org/00bas1c41","country_code":"PL","type":"education","lineage":["https://openalex.org/I686019"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Iwona Skalna","raw_affiliation_strings":["AGH University of Science and Technology, Krak\u00f3w, Poland","AGH UNIVERSITY OF SCIENCE AND TECHNOLOGY"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"AGH University of Science and Technology, Krak\u00f3w, Poland","institution_ids":["https://openalex.org/I686019"]},{"raw_affiliation_string":"AGH UNIVERSITY OF SCIENCE AND TECHNOLOGY","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081693462","display_name":"Milan Hlad\u00edk","orcid":"https://orcid.org/0000-0002-7340-8491"},"institutions":[{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Milan Hlad\u00edk","raw_affiliation_strings":["Department of Applied Mathematics, Charles University, Malostransk\u00e9 n\u00e1m. 25, 118 00, Prague, Czech Republic","Charles University in Prague"],"raw_orcid":"https://orcid.org/0000-0002-7340-8491","affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Charles University, Malostransk\u00e9 n\u00e1m. 25, 118 00, Prague, Czech Republic","institution_ids":["https://openalex.org/I21250087"]},{"raw_affiliation_string":"Charles University in Prague","institution_ids":["https://openalex.org/I21250087"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0686854,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"87","issue":"4","first_page":"1535","last_page":"1562"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":1.0,"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/T11697","display_name":"Numerical Methods and Algorithms","score":1.0,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9962999820709229,"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/parametric-statistics","display_name":"Parametric statistics","score":0.8368591070175171},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.7074747681617737},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.6061968207359314},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5735648274421692},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4958065450191498},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47509491443634033},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.46730494499206543},{"id":"https://openalex.org/keywords/enclosure","display_name":"Enclosure","score":0.45463624596595764},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.45065709948539734},{"id":"https://openalex.org/keywords/solution-set","display_name":"Solution set","score":0.4339528977870941},{"id":"https://openalex.org/keywords/midpoint","display_name":"Midpoint","score":0.41676419973373413},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39452260732650757},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3652957081794739},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18866518139839172},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.06066030263900757},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05823901295661926}],"concepts":[{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.8368591070175171},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.7074747681617737},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.6061968207359314},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5735648274421692},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4958065450191498},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47509491443634033},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.46730494499206543},{"id":"https://openalex.org/C98375054","wikidata":"https://www.wikidata.org/wiki/Q442709","display_name":"Enclosure","level":2,"score":0.45463624596595764},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.45065709948539734},{"id":"https://openalex.org/C60033838","wikidata":"https://www.wikidata.org/wiki/Q1751685","display_name":"Solution set","level":3,"score":0.4339528977870941},{"id":"https://openalex.org/C34130140","wikidata":"https://www.wikidata.org/wiki/Q1645406","display_name":"Midpoint","level":2,"score":0.41676419973373413},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39452260732650757},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3652957081794739},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18866518139839172},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.06066030263900757},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05823901295661926},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s11075-020-01018-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-020-01018-0","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:2004.09209","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2004.09209","pdf_url":"https://arxiv.org/pdf/2004.09209","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":null,"raw_type":"text"},{"id":"mag:3016314298","is_oa":true,"landing_page_url":"http://arxiv.org/pdf/2004.09209.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.2004.09209","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2004.09209","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":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2004.09209","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2004.09209","pdf_url":"https://arxiv.org/pdf/2004.09209","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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5864582475","display_name":null,"funder_award_id":"P403-18-04735S","funder_id":"https://openalex.org/F4320321006","funder_display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky"},{"id":"https://openalex.org/G5958435141","display_name":null,"funder_award_id":"18-04735S","funder_id":"https://openalex.org/F4320321006","funder_display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky"}],"funders":[{"id":"https://openalex.org/F4320321006","display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky","ror":"https://ror.org/01pv73b02"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3016314298.pdf","grobid_xml":"https://content.openalex.org/works/W3016314298.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W636107755","https://openalex.org/W1483874187","https://openalex.org/W1491023520","https://openalex.org/W1508817338","https://openalex.org/W1553553855","https://openalex.org/W1572450310","https://openalex.org/W1967909295","https://openalex.org/W1967952055","https://openalex.org/W1975021587","https://openalex.org/W2019507626","https://openalex.org/W2020784316","https://openalex.org/W2023139798","https://openalex.org/W2025284295","https://openalex.org/W2063168121","https://openalex.org/W2079386241","https://openalex.org/W2094728631","https://openalex.org/W2140132666","https://openalex.org/W2258109786","https://openalex.org/W2338128825","https://openalex.org/W2400135624","https://openalex.org/W2513483128","https://openalex.org/W2570431375","https://openalex.org/W2593881468","https://openalex.org/W2741922630","https://openalex.org/W2750291125","https://openalex.org/W2789613951","https://openalex.org/W2912260478","https://openalex.org/W2922995786","https://openalex.org/W3143175941","https://openalex.org/W4247671468","https://openalex.org/W4296927103","https://openalex.org/W4298255709"],"related_works":["https://openalex.org/W2940780577","https://openalex.org/W2020833279","https://openalex.org/W3203547771","https://openalex.org/W2278953265","https://openalex.org/W2766343750","https://openalex.org/W1502713142","https://openalex.org/W2141238972","https://openalex.org/W2213486547","https://openalex.org/W2069444326","https://openalex.org/W2240521506","https://openalex.org/W3122697827","https://openalex.org/W2766963966","https://openalex.org/W3162973431","https://openalex.org/W1992424415","https://openalex.org/W2972679219","https://openalex.org/W1971599530","https://openalex.org/W3134618657","https://openalex.org/W2053863894","https://openalex.org/W3039077845","https://openalex.org/W3132131652"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-03T08:13:44.112507","created_date":"2025-10-10T00:00:00"}