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Article: Determination of Jordan chains by extended matrices
Title | Determination of Jordan chains by extended matrices |
---|---|
Authors | |
Keywords | Derogatory eigenproblems Jordan blocks Jordan chains Segre characteristic |
Issue Date | 1998 |
Publisher | John Wiley & Sons Ltd. The Journal's web site is located at http://www.interscience.wiley.com/jpages/1069-8299/ |
Citation | Communications In Numerical Methods In Engineering, 1998, v. 14 n. 9, p. 879-893 How to Cite? |
Abstract | The major obstacle to determination of the Jordan chains for a highly degenerated eigenproblem is that the triangular combinations of the principal vectors in a Jordan chain are also principal vectors and the linear combinations of the eigenvectors of all Jordan blocks associated with the same eigenvalue are also eigenvectors. These indeterminate constants will hide the Jordan block structure and make the analysis very difficult. We propose an extended matrix method to find the Jordan chains and eliminate the indeterminate constants so that the Jordan block structure can be computed sequentially. An example with the Segre characteristic [(321)11] is given. © 1998 John Wiley & Sons, Ltd. |
Persistent Identifier | http://hdl.handle.net/10722/70757 |
ISSN | 2011 Impact Factor: 1.754 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Wong, SC | en_HK |
dc.contributor.author | Leung, AYT | en_HK |
dc.date.accessioned | 2010-09-06T06:25:51Z | - |
dc.date.available | 2010-09-06T06:25:51Z | - |
dc.date.issued | 1998 | en_HK |
dc.identifier.citation | Communications In Numerical Methods In Engineering, 1998, v. 14 n. 9, p. 879-893 | en_HK |
dc.identifier.issn | 1069-8299 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/70757 | - |
dc.description.abstract | The major obstacle to determination of the Jordan chains for a highly degenerated eigenproblem is that the triangular combinations of the principal vectors in a Jordan chain are also principal vectors and the linear combinations of the eigenvectors of all Jordan blocks associated with the same eigenvalue are also eigenvectors. These indeterminate constants will hide the Jordan block structure and make the analysis very difficult. We propose an extended matrix method to find the Jordan chains and eliminate the indeterminate constants so that the Jordan block structure can be computed sequentially. An example with the Segre characteristic [(321)11] is given. © 1998 John Wiley & Sons, Ltd. | en_HK |
dc.language | eng | en_HK |
dc.publisher | John Wiley & Sons Ltd. The Journal's web site is located at http://www.interscience.wiley.com/jpages/1069-8299/ | en_HK |
dc.relation.ispartof | Communications in Numerical Methods in Engineering | en_HK |
dc.rights | Communications in Numerical Methods in Engineering. Copyright © John Wiley & Sons Ltd. | en_HK |
dc.subject | Derogatory eigenproblems | en_HK |
dc.subject | Jordan blocks | en_HK |
dc.subject | Jordan chains | en_HK |
dc.subject | Segre characteristic | en_HK |
dc.title | Determination of Jordan chains by extended matrices | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1069-8299&volume=14&spage=879 &epage= 893&date=1998&atitle=Determination+of+Jordan+Chains+by+extended+matrices | en_HK |
dc.identifier.email | Wong, SC:hhecwsc@hku.hk | en_HK |
dc.identifier.authority | Wong, SC=rp00191 | en_HK |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.scopus | eid_2-s2.0-0032164789 | en_HK |
dc.identifier.hkuros | 39927 | en_HK |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-0032164789&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 14 | en_HK |
dc.identifier.issue | 9 | en_HK |
dc.identifier.spage | 879 | en_HK |
dc.identifier.epage | 893 | en_HK |
dc.identifier.isi | WOS:000076090300008 | - |
dc.publisher.place | United Kingdom | en_HK |
dc.identifier.scopusauthorid | Wong, SC=24323361400 | en_HK |
dc.identifier.scopusauthorid | Leung, AYT=7403012564 | en_HK |
dc.identifier.issnl | 1069-8299 | - |