On the eigenvalues which express antieigenvalues
We showed previously that the first antieigenvalue and the components of the first antieigenvectors of an accretive compact normal operator can be expressed either by a pair of eigenvalues or by a single eigenvalue of the operator. In this paper, we pin down the eigenvalues of T that express the fir...
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| Format: | Article |
| Language: | English |
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Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.1543 |
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| author | Morteza Seddighin Karl Gustafson |
| author_facet | Morteza Seddighin Karl Gustafson |
| author_sort | Morteza Seddighin |
| collection | DOAJ |
| description | We showed previously that the first antieigenvalue and the components of the first antieigenvectors of an accretive compact normal operator can be expressed either by a pair of eigenvalues or by a single eigenvalue of the operator. In this paper, we pin down the eigenvalues of T that express the first antieigenvalue and the components of the first antieigenvectors. In addition, we will prove that the expressions which state the first antieigenvalue and the components of the first antieigenvectors are unambiguous. Finally, based on these new results, we will develop an algorithm for computing higher
antieigenvalues. |
| format | Article |
| id | doaj-art-b0fd16f50807482387c8d1eaef4b6f9d |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-b0fd16f50807482387c8d1eaef4b6f9d2025-08-20T03:39:25ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005101543155410.1155/IJMMS.2005.1543On the eigenvalues which express antieigenvaluesMorteza Seddighin0Karl Gustafson1Department of Mathematics, Indiana University East, Richmond 47374, IN, USADepartment of Mathematics, University of Colorado, Boulder 80309-0395, CO, USAWe showed previously that the first antieigenvalue and the components of the first antieigenvectors of an accretive compact normal operator can be expressed either by a pair of eigenvalues or by a single eigenvalue of the operator. In this paper, we pin down the eigenvalues of T that express the first antieigenvalue and the components of the first antieigenvectors. In addition, we will prove that the expressions which state the first antieigenvalue and the components of the first antieigenvectors are unambiguous. Finally, based on these new results, we will develop an algorithm for computing higher antieigenvalues.http://dx.doi.org/10.1155/IJMMS.2005.1543 |
| spellingShingle | Morteza Seddighin Karl Gustafson On the eigenvalues which express antieigenvalues International Journal of Mathematics and Mathematical Sciences |
| title | On the eigenvalues which express antieigenvalues |
| title_full | On the eigenvalues which express antieigenvalues |
| title_fullStr | On the eigenvalues which express antieigenvalues |
| title_full_unstemmed | On the eigenvalues which express antieigenvalues |
| title_short | On the eigenvalues which express antieigenvalues |
| title_sort | on the eigenvalues which express antieigenvalues |
| url | http://dx.doi.org/10.1155/IJMMS.2005.1543 |
| work_keys_str_mv | AT mortezaseddighin ontheeigenvalueswhichexpressantieigenvalues AT karlgustafson ontheeigenvalueswhichexpressantieigenvalues |