{"id":"https://openalex.org/W4416004108","doi":"https://doi.org/10.1145/3731599.3767542","title":"Numerical Properties and Scalability of s-Step Preconditioned Conjugate Gradient Methods","display_name":"Numerical Properties and Scalability of s-Step Preconditioned Conjugate Gradient Methods","publication_year":2025,"publication_date":"2025-11-07","ids":{"openalex":"https://openalex.org/W4416004108","doi":"https://doi.org/10.1145/3731599.3767542"},"language":null,"primary_location":{"id":"doi:10.1145/3731599.3767542","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3731599.3767542","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the SC '25 Workshops of the International Conference for High Performance Computing, Networking, Storage and Analysis","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1145/3731599.3767542","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Viktoria Mayer","orcid":"https://orcid.org/0009-0007-2214-7301"},"institutions":[{"id":"https://openalex.org/I129774422","display_name":"University of Vienna","ror":"https://ror.org/03prydq77","country_code":"AT","type":"education","lineage":["https://openalex.org/I129774422"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Viktoria Mayer","raw_affiliation_strings":["Faculty of Computer Science, University of Vienna, Vienna, Austria and UniVie Doctoral School Computer Science DoCS, University of Vienna, Vienna, Austria"],"raw_orcid":"https://orcid.org/0009-0007-2214-7301","affiliations":[{"raw_affiliation_string":"Faculty of Computer Science, University of Vienna, Vienna, Austria and UniVie Doctoral School Computer Science DoCS, University of Vienna, Vienna, Austria","institution_ids":["https://openalex.org/I129774422"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021065276","display_name":"Wilfried N. Gansterer","orcid":"https://orcid.org/0000-0001-5170-1251"},"institutions":[{"id":"https://openalex.org/I129774422","display_name":"University of Vienna","ror":"https://ror.org/03prydq77","country_code":"AT","type":"education","lineage":["https://openalex.org/I129774422"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Wilfried N. Gansterer","raw_affiliation_strings":["Faculty of Computer Science, University of Vienna, Vienna, Austria"],"raw_orcid":"https://orcid.org/0000-0001-5170-1251","affiliations":[{"raw_affiliation_string":"Faculty of Computer Science, University of Vienna, Vienna, Austria","institution_ids":["https://openalex.org/I129774422"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I129774422"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.40882754,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1779","last_page":"1789"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9455999732017517,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9455999732017517,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.013199999928474426,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.01119999960064888,"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/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.8489000201225281},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.6601999998092651},{"id":"https://openalex.org/keywords/monomial","display_name":"Monomial","score":0.6141999959945679},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.5623999834060669},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5583000183105469},{"id":"https://openalex.org/keywords/conjugate-residual-method","display_name":"Conjugate residual method","score":0.5105000138282776},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4584999978542328},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.4514000117778778},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.41819998621940613}],"concepts":[{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.8489000201225281},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.6601999998092651},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6283000111579895},{"id":"https://openalex.org/C11252640","wikidata":"https://www.wikidata.org/wiki/Q243723","display_name":"Monomial","level":2,"score":0.6141999959945679},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.5623999834060669},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5583000183105469},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5364000201225281},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5113999843597412},{"id":"https://openalex.org/C91394653","wikidata":"https://www.wikidata.org/wiki/Q5161159","display_name":"Conjugate residual method","level":4,"score":0.5105000138282776},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4584999978542328},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.4514000117778778},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.41819998621940613},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.4171999990940094},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.41359999775886536},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.39430001378059387},{"id":"https://openalex.org/C198562538","wikidata":"https://www.wikidata.org/wiki/Q5262612","display_name":"Derivation of the conjugate gradient method","level":5,"score":0.3662000000476837},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3603000044822693},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.3458999991416931},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.3391000032424927},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.3257000148296356},{"id":"https://openalex.org/C115680565","wikidata":"https://www.wikidata.org/wiki/Q5977448","display_name":"Gradient method","level":2,"score":0.32339999079704285},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.27399998903274536},{"id":"https://openalex.org/C26362088","wikidata":"https://www.wikidata.org/wiki/Q17086453","display_name":"Nonlinear conjugate gradient method","level":4,"score":0.2732999920845032},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.27149999141693115},{"id":"https://openalex.org/C500300565","wikidata":"https://www.wikidata.org/wiki/Q925667","display_name":"Computer simulation","level":2,"score":0.26829999685287476},{"id":"https://openalex.org/C84545080","wikidata":"https://www.wikidata.org/wiki/Q1147936","display_name":"Condition number","level":3,"score":0.2612000107765198},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.2563999891281128},{"id":"https://openalex.org/C163834973","wikidata":"https://www.wikidata.org/wiki/Q2004891","display_name":"Numerical linear algebra","level":3,"score":0.2549000084400177}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3731599.3767542","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3731599.3767542","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the SC '25 Workshops of the International Conference for High Performance Computing, Networking, Storage and Analysis","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.1145/3731599.3767542","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3731599.3767542","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the SC '25 Workshops of the International Conference for High Performance Computing, Networking, Storage and Analysis","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W2002054778","https://openalex.org/W2035080386","https://openalex.org/W2060710554","https://openalex.org/W2066692739","https://openalex.org/W2082007415","https://openalex.org/W2096714979","https://openalex.org/W2489345787","https://openalex.org/W2577617996","https://openalex.org/W2914726413","https://openalex.org/W2920482256","https://openalex.org/W2946906343","https://openalex.org/W3159760751","https://openalex.org/W3205743406","https://openalex.org/W3216608520","https://openalex.org/W4250345615"],"related_works":[],"abstract_inverted_index":{"s-step":[0,51,63],"Preconditioned":[1],"Conjugate":[2],"Gradient":[3],"(PCG)":[4],"variants":[5],"for":[6,49],"iteratively":[7],"solving":[8],"large":[9],"sparse":[10],"linear":[11],"systems":[12],"reduce":[13],"the":[14,50,68,75],"number":[15],"of":[16,20,26],"global":[17],"synchronization":[18],"points":[19],"standard":[21,42],"PCG":[22],"by":[23],"a":[24,45],"factor":[25],"\\({\\mathcal":[27],"{O}}(s)\\).":[28],"Despite":[29],"improving":[30],"scalability":[31],"on":[32],"large-scale":[33],"parallel":[34],"computers,":[35],"they":[36],"have":[37],"worse":[38],"numerical":[39,59],"properties":[40],"than":[41],"PCG.":[43],"Choosing":[44],"suitable":[46],"basis":[47,52,85],"type":[48],"matrices":[53],"is":[54],"known":[55],"to":[56,72,82],"potentially":[57],"improve":[58],"stability":[60],"strongly.":[61],"The":[62],"method":[64,81,90],"proposed":[65],"first":[66],"in":[67],"literature":[69],"was":[70],"designed":[71],"only":[73],"use":[74],"monomial":[76],"basis.":[77],"We":[78],"generalize":[79],"this":[80],"support":[83],"arbitrary":[84],"types,":[86],"denoting":[87],"our":[88],"new":[89],"as":[91],"sPCG.":[92]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-11-07T00:00:00"}
