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dc.contributor.author | Al'pin Y. | |
dc.contributor.author | Ikramov K. | |
dc.date.accessioned | 2018-09-17T20:03:47Z | |
dc.date.available | 2018-09-17T20:03:47Z | |
dc.date.issued | 2003 | |
dc.identifier.issn | 0001-4346 | |
dc.identifier.uri | https://dspace.kpfu.ru/xmlui/handle/net/132977 | |
dc.description.abstract | The classical Specht criterion for the unitary similarity between two complex n × n matrices is extended to the unitary similarity between two normal matrix sets of cardinality m. This property means that the algebra generated by a set is closed with respect to the conjugate transpose operation. Similar to the well-known result of Pearcy that supplements Specht's theorem, the proposed extension can be made a finite criterion. The complexity of this criterion depends on n as well as the length l of the algebras under analysis. For a pair of matrices, this complexity can be significantly lower than that of the Specht-Pearcy criterion. | |
dc.relation.ispartofseries | Mathematical Notes | |
dc.subject | Representation theory | |
dc.subject | Specht-Pearcy criterion | |
dc.subject | Unitary invariants | |
dc.subject | Unitary matrix | |
dc.subject | Unitary similarity | |
dc.title | On the unitary similarity of matrix families | |
dc.type | Article | |
dc.relation.ispartofseries-issue | 5-6 | |
dc.relation.ispartofseries-volume | 74 | |
dc.collection | Публикации сотрудников КФУ | |
dc.relation.startpage | 772 | |
dc.source.id | SCOPUS00014346-2003-74-56-SID3543132451 |