{"id":"https://openalex.org/W2157514729","doi":"https://doi.org/10.1007/978-3-540-71351-7_27","title":"Efficient Parallel Algorithm for Constructing a Unit Triangular Matrix with Prescribed Singular Values","display_name":"Efficient Parallel Algorithm for Constructing a Unit Triangular Matrix with Prescribed Singular Values","publication_year":2007,"publication_date":"2007-05-29","ids":{"openalex":"https://openalex.org/W2157514729","doi":"https://doi.org/10.1007/978-3-540-71351-7_27","mag":"2157514729"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-71351-7_27","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-71351-7_27","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5067336607","display_name":"Georgina Flores-Becerra","orcid":null},"institutions":[{"id":"https://openalex.org/I159737355","display_name":"Instituto Tecnol\u00f3gico de Puebla","ror":"https://ror.org/02jsxsw65","country_code":"MX","type":"education","lineage":["https://openalex.org/I159737355"]},{"id":"https://openalex.org/I60053951","display_name":"Universitat Polit\u00e8cnica de Val\u00e8ncia","ror":"https://ror.org/01460j859","country_code":"ES","type":"education","lineage":["https://openalex.org/I60053951"]}],"countries":["ES","MX"],"is_corresponding":false,"raw_author_name":"Georgina Flores-Becerra","raw_affiliation_strings":["Departamento de Sistemas Inform\u00e1ticos y Computaci\u00f3n, Universidad Polit\u00e9cnica de Valencia, Camino de Vera s/n, 46022 Valencia, Espa\u00f1a","Departamento de Sistemas y Computaci\u00f3n. Instituto Tecnol\u00f3gico de Puebla, Av. Tecnol\u00f3gico 420, Col. Maravillas, C.P. 72220, Puebla, M\u00e9xico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Sistemas Inform\u00e1ticos y Computaci\u00f3n, Universidad Polit\u00e9cnica de Valencia, Camino de Vera s/n, 46022 Valencia, Espa\u00f1a","institution_ids":["https://openalex.org/I60053951"]},{"raw_affiliation_string":"Departamento de Sistemas y Computaci\u00f3n. Instituto Tecnol\u00f3gico de Puebla, Av. Tecnol\u00f3gico 420, Col. Maravillas, C.P. 72220, Puebla, M\u00e9xico","institution_ids":["https://openalex.org/I159737355"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113091854","display_name":"V\u00edctor M. Garc\u00eda","orcid":"https://orcid.org/0000-0003-0681-1130"},"institutions":[{"id":"https://openalex.org/I60053951","display_name":"Universitat Polit\u00e8cnica de Val\u00e8ncia","ror":"https://ror.org/01460j859","country_code":"ES","type":"education","lineage":["https://openalex.org/I60053951"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Victor M. Garcia","raw_affiliation_strings":["Departamento de Sistemas Inform\u00e1ticos y Computaci\u00f3n, Universidad Polit\u00e9cnica de Valencia, Camino de Vera s/n, 46022 Valencia, Espa\u00f1a"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Sistemas Inform\u00e1ticos y Computaci\u00f3n, Universidad Polit\u00e9cnica de Valencia, Camino de Vera s/n, 46022 Valencia, Espa\u00f1a","institution_ids":["https://openalex.org/I60053951"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101596774","display_name":"Antonio M. Vidal","orcid":"https://orcid.org/0000-0001-6981-7092"},"institutions":[{"id":"https://openalex.org/I60053951","display_name":"Universitat Polit\u00e8cnica de Val\u00e8ncia","ror":"https://ror.org/01460j859","country_code":"ES","type":"education","lineage":["https://openalex.org/I60053951"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Antonio M. Vidal","raw_affiliation_strings":["Departamento de Sistemas Inform\u00e1ticos y Computaci\u00f3n, Universidad Polit\u00e9cnica de Valencia, Camino de Vera s/n, 46022 Valencia, Espa\u00f1a"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Sistemas Inform\u00e1ticos y Computaci\u00f3n, Universidad Polit\u00e9cnica de Valencia, Camino de Vera s/n, 46022 Valencia, Espa\u00f1a","institution_ids":["https://openalex.org/I60053951"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16979608,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"349","last_page":"362"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9951000213623047,"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":0.9951000213623047,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9505000114440918,"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"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9239000082015991,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/singular-value","display_name":"Singular value","score":0.7405312657356262},{"id":"https://openalex.org/keywords/unit","display_name":"Unit (ring theory)","score":0.5961654782295227},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5776810646057129},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5727204084396362},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5667715072631836},{"id":"https://openalex.org/keywords/parallel-algorithm","display_name":"Parallel algorithm","score":0.5538828372955322},{"id":"https://openalex.org/keywords/shared-memory","display_name":"Shared memory","score":0.5424533486366272},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5373861193656921},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.5268441438674927},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.4761911928653717},{"id":"https://openalex.org/keywords/distributed-memory","display_name":"Distributed memory","score":0.4634186327457428},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33574336767196655},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06900066137313843}],"concepts":[{"id":"https://openalex.org/C109282560","wikidata":"https://www.wikidata.org/wiki/Q4166054","display_name":"Singular value","level":3,"score":0.7405312657356262},{"id":"https://openalex.org/C122637931","wikidata":"https://www.wikidata.org/wiki/Q118084","display_name":"Unit (ring theory)","level":2,"score":0.5961654782295227},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5776810646057129},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5727204084396362},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5667715072631836},{"id":"https://openalex.org/C120373497","wikidata":"https://www.wikidata.org/wiki/Q1087987","display_name":"Parallel algorithm","level":2,"score":0.5538828372955322},{"id":"https://openalex.org/C133875982","wikidata":"https://www.wikidata.org/wiki/Q764810","display_name":"Shared memory","level":2,"score":0.5424533486366272},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5373861193656921},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.5268441438674927},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4761911928653717},{"id":"https://openalex.org/C91481028","wikidata":"https://www.wikidata.org/wiki/Q1054686","display_name":"Distributed memory","level":3,"score":0.4634186327457428},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33574336767196655},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06900066137313843},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-540-71351-7_27","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-71351-7_27","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.95.5468","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.95.5468","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://vecpar.fe.up.pt/2006/programme/papers/22.pdf","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":16,"referenced_works":["https://openalex.org/W59371541","https://openalex.org/W281954680","https://openalex.org/W338288148","https://openalex.org/W610048507","https://openalex.org/W1510543252","https://openalex.org/W1556859836","https://openalex.org/W1947119493","https://openalex.org/W2023804772","https://openalex.org/W2038469228","https://openalex.org/W2043561826","https://openalex.org/W2046929266","https://openalex.org/W2495705296","https://openalex.org/W4236279318","https://openalex.org/W4254315740","https://openalex.org/W4285719527","https://openalex.org/W6633147234"],"related_works":["https://openalex.org/W2026512611","https://openalex.org/W1985165680","https://openalex.org/W4245497162","https://openalex.org/W2353146130","https://openalex.org/W1990817968","https://openalex.org/W2150064838","https://openalex.org/W1933089384","https://openalex.org/W2185094550","https://openalex.org/W2088823210","https://openalex.org/W2135766592"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
