{"id":"https://openalex.org/W2032852428","doi":"https://doi.org/10.1007/bf02684451","title":"Order results for Krylov-W-methods","display_name":"Order results for Krylov-W-methods","publication_year":1998,"publication_date":"1998-03-01","ids":{"openalex":"https://openalex.org/W2032852428","doi":"https://doi.org/10.1007/bf02684451","mag":"2032852428"},"language":"en","primary_location":{"id":"doi:10.1007/bf02684451","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02684451","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"Computing","raw_type":"journal-article"},"type":"article","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/A5109033543","display_name":"R\u00fcdiger Weiner","orcid":null},"institutions":[{"id":"https://openalex.org/I68956291","display_name":"Martin Luther University Halle-Wittenberg","ror":"https://ror.org/05gqaka33","country_code":"DE","type":"education","lineage":["https://openalex.org/I68956291"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"R\u00fcdiger Weiner","raw_affiliation_strings":["FB Mathematik und Informatik, Martin-Luther-Universit\u00e4t Halle-Wittenberg, Theodor-Lieser-Strasse 5, D-06120, Halle/Saale, Germany","FB Mathematik und Informatik Martin-Luther-Universit\u00e4t Halle-Wittenberg, Halle-Saale, Germany"],"affiliations":[{"raw_affiliation_string":"FB Mathematik und Informatik, Martin-Luther-Universit\u00e4t Halle-Wittenberg, Theodor-Lieser-Strasse 5, D-06120, Halle/Saale, Germany","institution_ids":["https://openalex.org/I68956291"]},{"raw_affiliation_string":"FB Mathematik und Informatik Martin-Luther-Universit\u00e4t Halle-Wittenberg, Halle-Saale, Germany","institution_ids":["https://openalex.org/I68956291"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055860544","display_name":"Bernhard A. Schmitt","orcid":"https://orcid.org/0000-0001-5797-8024"},"institutions":[{"id":"https://openalex.org/I161103922","display_name":"Philipps University of Marburg","ror":"https://ror.org/01rdrb571","country_code":"DE","type":"education","lineage":["https://openalex.org/I161103922"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Bernhard A. Schmitt","raw_affiliation_strings":["Fachbereich Mathematik, Universit\u00e4t Marburg Lahnberge, D-35032, Marburg, Germany","Fachbereich Mathematik, Universit\u00e4t Marburg Lahnberge, Marburg, Germany"],"affiliations":[{"raw_affiliation_string":"Fachbereich Mathematik, Universit\u00e4t Marburg Lahnberge, D-35032, Marburg, Germany","institution_ids":["https://openalex.org/I161103922"]},{"raw_affiliation_string":"Fachbereich Mathematik, Universit\u00e4t Marburg Lahnberge, Marburg, Germany","institution_ids":["https://openalex.org/I161103922"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5109033543"],"corresponding_institution_ids":["https://openalex.org/I68956291"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.4649,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.63478648,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"61","issue":"1","first_page":"69","last_page":"89"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T11416","display_name":"Numerical methods for differential equations","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10792","display_name":"Matrix Theory and Algorithms","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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.664342999458313},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6625853776931763},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.585228681564331},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5769439935684204},{"id":"https://openalex.org/keywords/linear-multistep-method","display_name":"Linear multistep method","score":0.5687679052352905},{"id":"https://openalex.org/keywords/krylov-subspace","display_name":"Krylov subspace","score":0.5565438866615295},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.5164775848388672},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.47850242257118225},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.45309191942214966},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.44295957684516907},{"id":"https://openalex.org/keywords/generalized-minimal-residual-method","display_name":"Generalized minimal residual method","score":0.4411531090736389},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4183945059776306},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3219875693321228},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32027482986450195},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2446098029613495},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.23165056109428406},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.16441568732261658},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09407877922058105},{"id":"https://openalex.org/keywords/differential-algebraic-equation","display_name":"Differential algebraic equation","score":0.0653834342956543},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.06481370329856873}],"concepts":[{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.664342999458313},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6625853776931763},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.585228681564331},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5769439935684204},{"id":"https://openalex.org/C65889100","wikidata":"https://www.wikidata.org/wiki/Q1462003","display_name":"Linear multistep method","level":5,"score":0.5687679052352905},{"id":"https://openalex.org/C147060835","wikidata":"https://www.wikidata.org/wiki/Q1757151","display_name":"Krylov subspace","level":3,"score":0.5565438866615295},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.5164775848388672},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.47850242257118225},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.45309191942214966},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.44295957684516907},{"id":"https://openalex.org/C155332342","wikidata":"https://www.wikidata.org/wiki/Q1432976","display_name":"Generalized minimal residual method","level":3,"score":0.4411531090736389},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4183945059776306},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3219875693321228},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32027482986450195},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2446098029613495},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.23165056109428406},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.16441568732261658},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09407877922058105},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.0653834342956543},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.06481370329856873},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf02684451","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02684451","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W586282074","https://openalex.org/W1576051164","https://openalex.org/W1582080457","https://openalex.org/W1976412545","https://openalex.org/W1984347942","https://openalex.org/W1991832937","https://openalex.org/W1995504856","https://openalex.org/W1998366068","https://openalex.org/W2005577296","https://openalex.org/W2010210658","https://openalex.org/W2010652522","https://openalex.org/W2044543226","https://openalex.org/W2045352055","https://openalex.org/W2049856163","https://openalex.org/W2054077382","https://openalex.org/W2056578614","https://openalex.org/W2057602562","https://openalex.org/W2065919279","https://openalex.org/W2083224105","https://openalex.org/W2090501010","https://openalex.org/W4293515545","https://openalex.org/W6609231302"],"related_works":["https://openalex.org/W2032899988","https://openalex.org/W1596255161","https://openalex.org/W4226335490","https://openalex.org/W2595498936","https://openalex.org/W2963266001","https://openalex.org/W2066152591","https://openalex.org/W2060439759","https://openalex.org/W2911748519","https://openalex.org/W2073751862","https://openalex.org/W4385624808"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}