{"id":"https://openalex.org/W2949972855","doi":"https://doi.org/10.1137/16m1102641","title":"A Structure Preserving Lanczos Algorithm for Computing the Optical Absorption Spectrum","display_name":"A Structure Preserving Lanczos Algorithm for Computing the Optical Absorption Spectrum","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2949972855","doi":"https://doi.org/10.1137/16m1102641","mag":"2949972855"},"language":"en","primary_location":{"id":"doi:10.1137/16m1102641","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1102641","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"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 Matrix Analysis and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1611.02348","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047489767","display_name":"Meiyue Shao","orcid":"https://orcid.org/0000-0002-4914-7666"},"institutions":[{"id":"https://openalex.org/I148283060","display_name":"Lawrence Berkeley National Laboratory","ror":"https://ror.org/02jbv0t02","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I148283060","https://openalex.org/I39565521"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Meiyue Shao","raw_affiliation_strings":["Computational Research Division, Lawrence Berkeley National Laboratory, Berkeley, CA 94720"],"affiliations":[{"raw_affiliation_string":"Computational Research Division, Lawrence Berkeley National Laboratory, Berkeley, CA 94720","institution_ids":["https://openalex.org/I148283060"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062031395","display_name":"Felipe H. da Jornada","orcid":"https://orcid.org/0000-0001-6712-7151"},"institutions":[{"id":"https://openalex.org/I148283060","display_name":"Lawrence Berkeley National Laboratory","ror":"https://ror.org/02jbv0t02","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I148283060","https://openalex.org/I39565521"]},{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Felipe H. da Jornada","raw_affiliation_strings":["Department of Physics, University of California, Berkeley, CA 94720","Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, CA 94720"],"affiliations":[{"raw_affiliation_string":"Department of Physics, University of California, Berkeley, CA 94720","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, CA 94720","institution_ids":["https://openalex.org/I148283060"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100342044","display_name":"Lin Lin","orcid":"https://orcid.org/0000-0002-2832-7537"},"institutions":[{"id":"https://openalex.org/I148283060","display_name":"Lawrence Berkeley National Laboratory","ror":"https://ror.org/02jbv0t02","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I148283060","https://openalex.org/I39565521"]},{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lin Lin","raw_affiliation_strings":["Department of Mathematics, University of California, Berkeley, CA 94720","Computational Research Division, Lawrence Berkeley National Laboratory, Berkeley, CA 94720"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, Berkeley, CA 94720","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"Computational Research Division, Lawrence Berkeley National Laboratory, Berkeley, CA 94720","institution_ids":["https://openalex.org/I148283060"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077547409","display_name":"Chao Yang","orcid":"https://orcid.org/0000-0001-7172-7539"},"institutions":[{"id":"https://openalex.org/I148283060","display_name":"Lawrence Berkeley National Laboratory","ror":"https://ror.org/02jbv0t02","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I148283060","https://openalex.org/I39565521"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chao Yang","raw_affiliation_strings":["Computational Research Division, Lawrence Berkeley National Laboratory, Berkeley, CA 94720"],"affiliations":[{"raw_affiliation_string":"Computational Research Division, Lawrence Berkeley National Laboratory, Berkeley, CA 94720","institution_ids":["https://openalex.org/I148283060"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044323124","display_name":"Jack Deslippe","orcid":"https://orcid.org/0000-0003-1785-4187"},"institutions":[{"id":"https://openalex.org/I148283060","display_name":"Lawrence Berkeley National Laboratory","ror":"https://ror.org/02jbv0t02","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I148283060","https://openalex.org/I39565521"]},{"id":"https://openalex.org/I4210151627","display_name":"National Energy Research Scientific Computing Center","ror":"https://ror.org/05v3mvq14","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I148283060","https://openalex.org/I39565521","https://openalex.org/I4210151627"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jack Deslippe","raw_affiliation_strings":["NERSC, Lawrence Berkeley National Laboratory, Berkeley, CA 94720"],"affiliations":[{"raw_affiliation_string":"NERSC, Lawrence Berkeley National Laboratory, Berkeley, CA 94720","institution_ids":["https://openalex.org/I148283060","https://openalex.org/I4210151627"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045377460","display_name":"Steven G. Louie","orcid":"https://orcid.org/0000-0003-0622-0170"},"institutions":[{"id":"https://openalex.org/I148283060","display_name":"Lawrence Berkeley National Laboratory","ror":"https://ror.org/02jbv0t02","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I148283060","https://openalex.org/I39565521"]},{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Steven G. Louie","raw_affiliation_strings":["Department of Physics, University of California, Berkeley, CA 94720","Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, CA 94720"],"affiliations":[{"raw_affiliation_string":"Department of Physics, University of California, Berkeley, CA 94720","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, CA 94720","institution_ids":["https://openalex.org/I148283060"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5047489767"],"corresponding_institution_ids":["https://openalex.org/I148283060"],"apc_list":null,"apc_paid":null,"fwci":1.2256,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.78576503,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"39","issue":"2","first_page":"683","last_page":"711"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12050","display_name":"Optical Polarization and Ellipsometry","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12050","display_name":"Optical Polarization and Ellipsometry","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10490","display_name":"Orbital Angular Momentum in Optics","score":0.9887999892234802,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.977400004863739,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/lanczos-resampling","display_name":"Lanczos resampling","score":0.9302693009376526},{"id":"https://openalex.org/keywords/lanczos-algorithm","display_name":"Lanczos algorithm","score":0.8550158739089966},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7343562245368958},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5923759937286377},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.4893893599510193},{"id":"https://openalex.org/keywords/quadrature","display_name":"Quadrature (astronomy)","score":0.44281768798828125},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4362901449203491},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.22643384337425232},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.1627436876296997},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.11852133274078369},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10896652936935425}],"concepts":[{"id":"https://openalex.org/C119256216","wikidata":"https://www.wikidata.org/wiki/Q913012","display_name":"Lanczos resampling","level":3,"score":0.9302693009376526},{"id":"https://openalex.org/C20501136","wikidata":"https://www.wikidata.org/wiki/Q366640","display_name":"Lanczos algorithm","level":4,"score":0.8550158739089966},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7343562245368958},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5923759937286377},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.4893893599510193},{"id":"https://openalex.org/C62869609","wikidata":"https://www.wikidata.org/wiki/Q28137","display_name":"Quadrature (astronomy)","level":2,"score":0.44281768798828125},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4362901449203491},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.22643384337425232},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.1627436876296997},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.11852133274078369},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10896652936935425},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1137/16m1102641","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1102641","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"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 Matrix Analysis and Applications","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1611.02348","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1611.02348","pdf_url":"https://arxiv.org/pdf/1611.02348","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":"pmh:ark:/13030/qt1n29k4ww","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},{"id":"pmh:oai:escholarship.org/ark:/13030/qt1n29k4ww","is_oa":false,"landing_page_url":"https://escholarship.org/uc/item/1n29k4ww","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Matrix Analysis and Applications, vol 39, iss 2","raw_type":"article"},{"id":"pmh:oai:osti.gov:1398473","is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/1398473","pdf_url":null,"source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"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":null}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1611.02348","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1611.02348","pdf_url":"https://arxiv.org/pdf/1611.02348","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/G3944918260","display_name":null,"funder_award_id":"DE-AC02-05CH11231","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"}],"funders":[{"id":"https://openalex.org/F4320332359","display_name":"Office of Science","ror":"https://ror.org/00mmn6b08"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W112019301","https://openalex.org/W603018635","https://openalex.org/W658301530","https://openalex.org/W1686506278","https://openalex.org/W1857725693","https://openalex.org/W1979048990","https://openalex.org/W1981199510","https://openalex.org/W1989633450","https://openalex.org/W1998390470","https://openalex.org/W2008941858","https://openalex.org/W2029204743","https://openalex.org/W2031196199","https://openalex.org/W2033354767","https://openalex.org/W2039488279","https://openalex.org/W2052115731","https://openalex.org/W2055260148","https://openalex.org/W2056902973","https://openalex.org/W2061408008","https://openalex.org/W2073727874","https://openalex.org/W2085921055","https://openalex.org/W2088686281","https://openalex.org/W2113449409","https://openalex.org/W2116469503","https://openalex.org/W2117216503","https://openalex.org/W2123381536","https://openalex.org/W2145631409","https://openalex.org/W2155433909","https://openalex.org/W2223847291","https://openalex.org/W2252696022","https://openalex.org/W2271479100","https://openalex.org/W2278113833","https://openalex.org/W2321078421","https://openalex.org/W2323315173","https://openalex.org/W2750238392","https://openalex.org/W2754691682","https://openalex.org/W2781872914","https://openalex.org/W2784010056","https://openalex.org/W3191849418","https://openalex.org/W4205262983","https://openalex.org/W4394668738"],"related_works":["https://openalex.org/W2156009096","https://openalex.org/W3176451595","https://openalex.org/W2027838537","https://openalex.org/W1970812947","https://openalex.org/W2058241770","https://openalex.org/W1980579360","https://openalex.org/W4248073715","https://openalex.org/W4243541541","https://openalex.org/W1977361006","https://openalex.org/W2093966383"],"abstract_inverted_index":{"We":[0,62],"present":[1],"a":[2,32],"new":[3,27],"structure":[4,33,42,69],"preserving":[5,34,70],"Lanczos":[6,35,71,76,92],"algorithm":[7,28],"for":[8],"approximating":[9],"the":[10,15,19,39,60,65,88],"optical":[11],"absorption":[12],"spectrum":[13],"in":[14,79],"context":[16],"of":[17,43,51,90],"solving":[18],"full":[20],"Bethe--Salpeter":[21,44],"equation":[22],"without":[23],"Tamm--Dancoff":[24],"approximation.":[25],"The":[26],"is":[29,56],"based":[30],"on":[31],"procedure,":[36],"which":[37],"exploits":[38],"special":[40],"block":[41],"Hamiltonian":[45],"matrices.":[46],"A":[47],"recently":[48],"developed":[49,78],"technique":[50],"generalized":[52],"averaged":[53],"Gauss":[54],"quadrature":[55],"incorporated":[57],"to":[58,86],"accelerate":[59],"convergence.":[61],"also":[63],"establish":[64],"connection":[66],"between":[67],"our":[68,91],"procedure":[72],"with":[73],"several":[74],"existing":[75],"procedures":[77],"different":[80],"contexts.":[81],"Numerical":[82],"examples":[83],"are":[84],"presented":[85],"demonstrate":[87],"effectiveness":[89],"algorithm.":[93]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-14T08:04:32.555800","created_date":"2025-10-10T00:00:00"}
