{"id":"https://openalex.org/W2008427453","doi":"https://doi.org/10.1137/s1064827500366434","title":"Structure-Preserving Methods for Computing Eigenpairs of Large Sparse Skew-Hamiltonian/Hamiltonian Pencils","display_name":"Structure-Preserving Methods for Computing Eigenpairs of Large Sparse Skew-Hamiltonian/Hamiltonian Pencils","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W2008427453","doi":"https://doi.org/10.1137/s1064827500366434","mag":"2008427453"},"language":"en","primary_location":{"id":"doi:10.1137/s1064827500366434","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827500366434","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific 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/A5016940729","display_name":"Volker Mehrmann","orcid":"https://orcid.org/0000-0001-5051-2870"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Volker Mehrmann","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5006021673","display_name":"David S. Watkins","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"David Watkins","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5016940729"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":10.9577,"has_fulltext":false,"cited_by_count":149,"citation_normalized_percentile":{"value":0.98781562,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"22","issue":"6","first_page":"1905","last_page":"1925"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9998999834060669,"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":0.9998999834060669,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9980000257492065,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7090073227882385},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6430708169937134},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.6149941682815552},{"id":"https://openalex.org/keywords/isotropy","display_name":"Isotropy","score":0.6024654507637024},{"id":"https://openalex.org/keywords/skew","display_name":"Skew","score":0.5759434700012207},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.48981043696403503},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4692656397819519},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4239426255226135},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3746787905693054},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1750158667564392},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.16001978516578674},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14870598912239075},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09475716948509216}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7090073227882385},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6430708169937134},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.6149941682815552},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.6024654507637024},{"id":"https://openalex.org/C43711488","wikidata":"https://www.wikidata.org/wiki/Q7534783","display_name":"Skew","level":2,"score":0.5759434700012207},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.48981043696403503},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4692656397819519},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4239426255226135},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3746787905693054},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1750158667564392},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.16001978516578674},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14870598912239075},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09475716948509216},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/s1064827500366434","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827500366434","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.17.6049","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.17.6049","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.sci.wsu.edu/math/faculty/watkins/psfiles/skewham.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.40.446","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.40.446","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.tu-chemnitz.de/sfb393/Files/PS/sfb00-02.ps.gz","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W83404773","https://openalex.org/W107485332","https://openalex.org/W236974978","https://openalex.org/W594400759","https://openalex.org/W658559791","https://openalex.org/W1483357104","https://openalex.org/W1563653928","https://openalex.org/W1964400575","https://openalex.org/W1965366611","https://openalex.org/W1969059980","https://openalex.org/W1977369260","https://openalex.org/W1977847708","https://openalex.org/W1988121326","https://openalex.org/W1989633450","https://openalex.org/W2002780597","https://openalex.org/W2011329731","https://openalex.org/W2059586807","https://openalex.org/W2060003923","https://openalex.org/W2069262775","https://openalex.org/W2072305544","https://openalex.org/W2082077121","https://openalex.org/W2085977383","https://openalex.org/W2086160340","https://openalex.org/W2095222360","https://openalex.org/W2099514750","https://openalex.org/W2114123394","https://openalex.org/W2125926830","https://openalex.org/W2153975281","https://openalex.org/W2155855077","https://openalex.org/W2163336887","https://openalex.org/W2328218167","https://openalex.org/W2798909945","https://openalex.org/W4245356004","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4290802965","https://openalex.org/W97789383","https://openalex.org/W2794789911","https://openalex.org/W4298134547","https://openalex.org/W2122976425","https://openalex.org/W2088773039","https://openalex.org/W2727156679","https://openalex.org/W4382753160","https://openalex.org/W4210340977","https://openalex.org/W3104733170"],"abstract_inverted_index":{"We":[0,51],"study":[1],"large,":[2],"sparse":[3],"generalized":[4],"eigenvalue":[5],"problems":[6],"for":[7,47],"matrix":[8],"pencils,":[9],"where":[10],"one":[11],"of":[12,23,31,34,69],"the":[13,18,28,42,67],"matrices":[14],"is":[15,20],"Hamiltonian":[16],"and":[17,40],"other":[19],"skew-Hamiltonian.":[21],"Problems":[22],"this":[24],"form":[25],"arise":[26],"in":[27,37,41],"numerical":[29,64],"simulation":[30],"elastic":[32],"deformation":[33],"anisotropic":[35],"materials,":[36],"structural":[38],"mechanics,":[39],"linear":[43],"quadratic":[44],"control":[45],"problem":[46],"partial":[48],"differential":[49],"equations.":[50],"develop":[52],"a":[53,72],"structure-preserving":[54],"skew-Hamiltonian,":[55],"isotropic,":[56],"implicitly":[57],"restarted":[58],"shift-and-invert":[59],"Arnoldi":[60],"algorithm":[61],"(SHIRA).":[62],"Several":[63],"examples":[65],"demonstrate":[66],"superiority":[68],"SHIRA":[70],"over":[71],"competing":[73],"unstructured":[74],"method.":[75]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":10},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":10},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":6}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
