{"id":"https://openalex.org/W1999197165","doi":"https://doi.org/10.1145/1878537.1878630","title":"Block Householder computation of sparse matrix singular values","display_name":"Block Householder computation of sparse matrix singular values","publication_year":2010,"publication_date":"2010-04-11","ids":{"openalex":"https://openalex.org/W1999197165","doi":"https://doi.org/10.1145/1878537.1878630","mag":"1999197165"},"language":"en","primary_location":{"id":"doi:10.1145/1878537.1878630","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1878537.1878630","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2010 Spring Simulation Multiconference","raw_type":"proceedings-article"},"type":"conference-paper","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/A5083325748","display_name":"Gary Howell","orcid":null},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Gary W. Howell","raw_affiliation_strings":["North Carolina State University, Raleigh, North Carolina"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"North Carolina State University, Raleigh, North Carolina","institution_ids":["https://openalex.org/I137902535"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5083325748"],"corresponding_institution_ids":["https://openalex.org/I137902535"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11883086,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"8"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9997000098228455,"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":0.9997000098228455,"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T12162","display_name":"Cellular Automata and Applications","score":0.9916999936103821,"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/sparse-matrix","display_name":"Sparse matrix","score":0.7394747734069824},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.6504186987876892},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6198556423187256},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.6094485521316528},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5428784489631653},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5421018004417419},{"id":"https://openalex.org/keywords/triangular-matrix","display_name":"Triangular matrix","score":0.515761137008667},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.5056073665618896},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.48889103531837463},{"id":"https://openalex.org/keywords/band-matrix","display_name":"Band matrix","score":0.4680376350879669},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45099353790283203},{"id":"https://openalex.org/keywords/row","display_name":"Row","score":0.4350917339324951},{"id":"https://openalex.org/keywords/row-and-column-spaces","display_name":"Row and column spaces","score":0.4237220883369446},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.4145713150501251},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3941226303577423},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.3083244562149048},{"id":"https://openalex.org/keywords/square-matrix","display_name":"Square matrix","score":0.23236727714538574},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.17684543132781982},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.10665068030357361}],"concepts":[{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.7394747734069824},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.6504186987876892},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6198556423187256},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.6094485521316528},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5428784489631653},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5421018004417419},{"id":"https://openalex.org/C104528550","wikidata":"https://www.wikidata.org/wiki/Q506265","display_name":"Triangular matrix","level":3,"score":0.515761137008667},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.5056073665618896},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.48889103531837463},{"id":"https://openalex.org/C33343441","wikidata":"https://www.wikidata.org/wiki/Q806350","display_name":"Band matrix","level":5,"score":0.4680376350879669},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45099353790283203},{"id":"https://openalex.org/C135598885","wikidata":"https://www.wikidata.org/wiki/Q1366302","display_name":"Row","level":2,"score":0.4350917339324951},{"id":"https://openalex.org/C104140500","wikidata":"https://www.wikidata.org/wiki/Q2088159","display_name":"Row and column spaces","level":3,"score":0.4237220883369446},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4145713150501251},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3941226303577423},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.3083244562149048},{"id":"https://openalex.org/C69044650","wikidata":"https://www.wikidata.org/wiki/Q2739329","display_name":"Square matrix","level":4,"score":0.23236727714538574},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.17684543132781982},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.10665068030357361},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.0},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1878537.1878630","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1878537.1878630","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2010 Spring Simulation Multiconference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4000000059604645,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[{"id":"https://openalex.org/G4357884192","display_name":"Comparative and Web-Enabled Virtual Screening (RMI)","funder_award_id":"1p20hg003900-01","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"}],"funders":[{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1506690472","https://openalex.org/W1621933882","https://openalex.org/W1750594686","https://openalex.org/W2005423095","https://openalex.org/W2017895259","https://openalex.org/W2035080386","https://openalex.org/W2059586807","https://openalex.org/W2140153041","https://openalex.org/W2149381887","https://openalex.org/W2164326463","https://openalex.org/W2568342123","https://openalex.org/W4235472067","https://openalex.org/W6665700644"],"related_works":["https://openalex.org/W2052885993","https://openalex.org/W2393417068","https://openalex.org/W4235869220","https://openalex.org/W2146369775","https://openalex.org/W2185268465","https://openalex.org/W3184093895","https://openalex.org/W1981810616","https://openalex.org/W2363023558","https://openalex.org/W2393398854","https://openalex.org/W2506181285"],"abstract_inverted_index":{"This":[0],"paper":[1],"introduces":[2],"block":[3,60,66],"Householder":[4,61,67,80],"reduction":[5,81],"of":[6,37,45,58,72,75],"a":[7,20,43,59,73],"rectangular":[8],"sparse":[9,21,25],"matrix":[10,22,26,28],"to":[11],"small":[12],"band":[13],"upper":[14],"triangular":[15],"form.":[16],"The":[17],"computation":[18,71],"accesses":[19],"only":[23],"for":[24,32,98],"dense":[27,50],"(SMDM)":[29],"multiplications":[30],"and":[31,39,94],"just":[33],"in":[34],"time":[35],"extractions":[36],"row":[38],"column":[40],"blocks.":[41],"For":[42],"bandwidth":[44],"k":[46,54],"+":[47],"1,":[48],"the":[49,53],"matrices":[51],"are":[52],"rows":[55],"or":[56],"columns":[57],"transformation.Using":[62],"an":[63],"initial":[64],"random":[65],"transformation":[68],"allows":[69],"reliable":[70],"collection":[74],"largest":[76],"singular":[77],"values.":[78],"Block":[79],"is":[82,85],"numerically":[83],"stable,":[84],"computationally":[86],"efficient":[87],"on":[88],"multicore":[89],"cache":[90],"based":[91],"computer":[92],"architectures,":[93],"has":[95],"good":[96],"potential":[97],"scalable":[99],"distributed":[100],"memory":[101],"parallelization.":[102]},"counts_by_year":[],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}