Positive matrices with prescribed singular values
DOI:
https://doi.org/10.4067/S0716-09172008000300005Keywords:
Singular values, positive matrices, valores singulares, matrices positivas.Abstract
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.References
[1] A. Brauer, Limits for the characteristic roots of a matrix IV: Applications to stochastic matrices, Duke Math. J. 19, pp. 75-91, (1952).
[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, doi:10.1016/j.camwa.2007.11.030, (2007).
[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, doi:10.1016/j.camwa.2007.11.030, (2007).
Published
2017-04-06
How to Cite
[1]
E. Montaño, M. F. Salas García, and R. L. Soto Montero, “Positive matrices with prescribed singular values”, Proyecciones (Antofagasta, On line), vol. 27, no. 3, pp. 289-305, Apr. 2017.
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