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 |
|