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Eigenvalues of Matrices with Prescribed Entries
| Content Provider | Scilit |
|---|---|
| Author | London, David Minc, Henryk |
| Copyright Year | 1972 |
| Description | It is shown that there exists an n-square matrix all whose eigenvalues and of whose entries are arbitrarily prescribed. This result generalizes a theorem of L. Mirsky. It is also shown that there exists an n-square matrix with some of its entries prescribed and with simple eigenvalues, provided that n of the nonprescribed entries lie on a diagonal or, alternatively, provided that the number of prescribed entries does not exceed . |
| Related Links | https://www.ams.org/proc/1972-034-01/S0002-9939-1972-0352125-X/S0002-9939-1972-0352125-X.pdf |
| ISSN | 00029939 |
| e-ISSN | 10886826 |
| DOI | 10.2307/2037885 |
| Journal | Proceedings of the American Mathematical Society |
| Issue Number | 1 |
| Volume Number | 34 |
| Language | English |
| Publisher | Duke University Press |
| Access Restriction | Open |
| Subject Keyword | Logic Matrices with Prescribed Entries Eigenvalues of Matrices with Prescribed |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics |
