Positive matrices with prescribed singular values

Montaño, Emedin ^[1] ; Salas García, Mario Francisco ^[2] ; Soto Montero, Ricardo Lorenzo ^[2]
1. [1] Universidad de Magallanes
  
  Universidad de Magallanes
  
  Punta Arenas, Chile
2. [2] Universidad Católica del Norte
  
  Universidad Católica del Norte
  
  Antofagasta, Chile
Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 27, Nº. 3, 2008, págs. 289-305
Idioma: inglés
DOI: 10.4067/S0716-09172008000300005
Enlaces
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Resumen
- We consider the problem of constructing positive matrices with prescribed singular values. In particular, we show how to construct an m × n positive matrix, m = n, with prescribed singular values s1 = s2 = · · · = sn.
Referencias bibliográficas
- Citas [1] A. Brauer, Limits for the characteristic roots of a matrix IV: Applications to stochastic matrices, Duke Math. J. 19, pp. 75-91,...
- [2] M. Fiedler, Eigenvalues of nonnegative symmetric matrices, Linear Algebra Appl. 9, pp. 119-142, (1974).
- [3] R. A. Horn, C..R. Johnson, Topics in Matrix Analysis, Cambridge University Press, Cambridge, (1991).
- [4] E. Montaño, M. Salas, R. L. Soto, Nonnegative matrices with prescribed extremal singular values, Computer and Mathematics with Applications,...