A Solution Approach for Lower Hessenberg Linear Systems
An approach is developed to obtain solutions to lower Hessenberg linear systems with general entries. The approach involves developing solution vectors for an extended lower Hessenberg linear system (having an extra column and an extra introduced unknown) for each nonzero term on the right hand side...
Gespeichert in:
| Veröffentlicht in: | ISRN applied mathematics 2011-12, Vol.2011 (2011), p.1-6 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 6 |
|---|---|
| container_issue | 2011 |
| container_start_page | 1 |
| container_title | ISRN applied mathematics |
| container_volume | 2011 |
| creator | Ruffa, Anthony A. |
| description | An approach is developed to obtain solutions to lower Hessenberg linear systems with general entries. The approach involves developing solution vectors for an extended lower Hessenberg linear system (having an extra column and an extra introduced unknown) for each nonzero term on the right hand side. The overall solution is then found through superposition and determination of the extra introduced unknown. The approach supports parallel solution algorithms without communication between processors, since each solution vector is computed independently of the others. The number of parallel processors needed will be equal to the number of nonzero right hand side terms. |
| doi_str_mv | 10.5402/2011/236727 |
| format | Article |
| fullrecord | <record><control><sourceid>emarefa_cross</sourceid><recordid>TN_cdi_crossref_primary_10_5402_2011_236727</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>456183</sourcerecordid><originalsourceid>FETCH-LOGICAL-c1727-4f8f53e792910908e66910c8100e0b4d7d7eacf684e42d3a22e8ac614aa6e6063</originalsourceid><addsrcrecordid>eNqFj01Lw0AURQdRsNSuXAuzVmLnK28my1C0FQIuquswTd7YSJsJM5XSf--USLe-zbuLw-UeQu45e84VE3PBOJ8LCVroKzIRrGBZnmtxfcmgbsksxm-WDnIuACZEl3Ttdz-Hzve0HIbgbbOlzgda-SMGusIYsd9g-KJV16MNdH2KB9zHO3Lj7C7i7O9Pyefry8dilVXvy7dFWWUNTzsy5YzLJepCFDyNMAiQQmM4Y8g2qtWtRts4MAqVaKUVAo1tgCtrAYGBnJKnsbcJPsaArh5Ct7fhVHNWn7Xrs3Y9aif6caS3Xd_aY_cP_DDCmBB09gKrHLiR8hf9wl6f</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>A Solution Approach for Lower Hessenberg Linear Systems</title><source>Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals</source><creator>Ruffa, Anthony A.</creator><contributor>García Nieto, P. J. ; Lebon, F.</contributor><creatorcontrib>Ruffa, Anthony A. ; García Nieto, P. J. ; Lebon, F.</creatorcontrib><description>An approach is developed to obtain solutions to lower Hessenberg linear systems with general entries. The approach involves developing solution vectors for an extended lower Hessenberg linear system (having an extra column and an extra introduced unknown) for each nonzero term on the right hand side. The overall solution is then found through superposition and determination of the extra introduced unknown. The approach supports parallel solution algorithms without communication between processors, since each solution vector is computed independently of the others. The number of parallel processors needed will be equal to the number of nonzero right hand side terms.</description><identifier>ISSN: 2090-5564</identifier><identifier>EISSN: 2090-5572</identifier><identifier>DOI: 10.5402/2011/236727</identifier><language>eng</language><publisher>Cairo, Egypt: Hindawi Puplishing Corporation</publisher><ispartof>ISRN applied mathematics, 2011-12, Vol.2011 (2011), p.1-6</ispartof><rights>Copyright © 2011 Anthony A. Ruffa.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c1727-4f8f53e792910908e66910c8100e0b4d7d7eacf684e42d3a22e8ac614aa6e6063</citedby><cites>FETCH-LOGICAL-c1727-4f8f53e792910908e66910c8100e0b4d7d7eacf684e42d3a22e8ac614aa6e6063</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27901,27902</link.rule.ids></links><search><contributor>García Nieto, P. J.</contributor><contributor>Lebon, F.</contributor><creatorcontrib>Ruffa, Anthony A.</creatorcontrib><title>A Solution Approach for Lower Hessenberg Linear Systems</title><title>ISRN applied mathematics</title><description>An approach is developed to obtain solutions to lower Hessenberg linear systems with general entries. The approach involves developing solution vectors for an extended lower Hessenberg linear system (having an extra column and an extra introduced unknown) for each nonzero term on the right hand side. The overall solution is then found through superposition and determination of the extra introduced unknown. The approach supports parallel solution algorithms without communication between processors, since each solution vector is computed independently of the others. The number of parallel processors needed will be equal to the number of nonzero right hand side terms.</description><issn>2090-5564</issn><issn>2090-5572</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><sourceid>RHX</sourceid><recordid>eNqFj01Lw0AURQdRsNSuXAuzVmLnK28my1C0FQIuquswTd7YSJsJM5XSf--USLe-zbuLw-UeQu45e84VE3PBOJ8LCVroKzIRrGBZnmtxfcmgbsksxm-WDnIuACZEl3Ttdz-Hzve0HIbgbbOlzgda-SMGusIYsd9g-KJV16MNdH2KB9zHO3Lj7C7i7O9Pyefry8dilVXvy7dFWWUNTzsy5YzLJepCFDyNMAiQQmM4Y8g2qtWtRts4MAqVaKUVAo1tgCtrAYGBnJKnsbcJPsaArh5Ct7fhVHNWn7Xrs3Y9aif6caS3Xd_aY_cP_DDCmBB09gKrHLiR8hf9wl6f</recordid><startdate>20111225</startdate><enddate>20111225</enddate><creator>Ruffa, Anthony A.</creator><general>Hindawi Puplishing Corporation</general><general>International Scholarly Research Network</general><scope>ADJCN</scope><scope>AHFXO</scope><scope>RHU</scope><scope>RHW</scope><scope>RHX</scope><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20111225</creationdate><title>A Solution Approach for Lower Hessenberg Linear Systems</title><author>Ruffa, Anthony A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c1727-4f8f53e792910908e66910c8100e0b4d7d7eacf684e42d3a22e8ac614aa6e6063</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Ruffa, Anthony A.</creatorcontrib><collection>الدوريات العلمية والإحصائية - e-Marefa Academic and Statistical Periodicals</collection><collection>معرفة - المحتوى العربي الأكاديمي المتكامل - e-Marefa Academic Complete</collection><collection>Hindawi Publishing Complete</collection><collection>Hindawi Publishing Subscription Journals</collection><collection>Hindawi Publishing Open Access</collection><collection>CrossRef</collection><jtitle>ISRN applied mathematics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Ruffa, Anthony A.</au><au>García Nieto, P. J.</au><au>Lebon, F.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A Solution Approach for Lower Hessenberg Linear Systems</atitle><jtitle>ISRN applied mathematics</jtitle><date>2011-12-25</date><risdate>2011</risdate><volume>2011</volume><issue>2011</issue><spage>1</spage><epage>6</epage><pages>1-6</pages><issn>2090-5564</issn><eissn>2090-5572</eissn><abstract>An approach is developed to obtain solutions to lower Hessenberg linear systems with general entries. The approach involves developing solution vectors for an extended lower Hessenberg linear system (having an extra column and an extra introduced unknown) for each nonzero term on the right hand side. The overall solution is then found through superposition and determination of the extra introduced unknown. The approach supports parallel solution algorithms without communication between processors, since each solution vector is computed independently of the others. The number of parallel processors needed will be equal to the number of nonzero right hand side terms.</abstract><cop>Cairo, Egypt</cop><pub>Hindawi Puplishing Corporation</pub><doi>10.5402/2011/236727</doi><tpages>6</tpages><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 2090-5564 |
| ispartof | ISRN applied mathematics, 2011-12, Vol.2011 (2011), p.1-6 |
| issn | 2090-5564 2090-5572 |
| language | eng |
| recordid | cdi_crossref_primary_10_5402_2011_236727 |
| source | Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| title | A Solution Approach for Lower Hessenberg Linear Systems |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-09T19%3A57%3A41IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-emarefa_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=A%20Solution%20Approach%20for%20Lower%20Hessenberg%20Linear%20Systems&rft.jtitle=ISRN%20applied%20mathematics&rft.au=Ruffa,%20Anthony%20A.&rft.date=2011-12-25&rft.volume=2011&rft.issue=2011&rft.spage=1&rft.epage=6&rft.pages=1-6&rft.issn=2090-5564&rft.eissn=2090-5572&rft_id=info:doi/10.5402/2011/236727&rft_dat=%3Cemarefa_cross%3E456183%3C/emarefa_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true |