Eigenvalues of Matrices with Prescribed Entries
- 1 July 1972
- journal article
- Published by JSTOR in Proceedings of the American Mathematical Society
- Vol. 34 (1) , 8-14
- https://doi.org/10.2307/2037885
Abstract
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 .Keywords
This publication has 2 references indexed in Scilit:
- Matrices with Prescribed Characteristic PolynomialsProceedings of the Edinburgh Mathematical Society, 1959
- Matrices with Prescribed Characteristic Roots and Diagonal ElementsJournal of the London Mathematical Society, 1958