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,...