Total positivity and the QR algorithm

Linear Algebra and Its Applications

Volumn 271, Issue 1-3, 1998, Pages 257-272

  Gladwell, G M L ^a  

^a UNIVERSITY OF WATERLOO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041355619     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(97)00275-9     Document Type: Article

References (10)

1. Ando, T. 1987. Totally positive matrices, Linear Algebra Appl. 90:165-219.
2. Cryer, C. W. 1973. The LU-factorization of totally positive matrices, Linear Algebra Appl. 7:83-92.
3. Fekete, M. 1913. Über ein Problem von Laguerre, Rend. Circ. Math. Palermo 34:89-100, 110-120.
4. Gantmacher, F. R. 1959. The Theory of Matrices, Vol. 1, Chelsea, New York, p. 32.
5. Gantmacher, F. R. and Krein, M. G. 1950. Oscillation Matrices and Kernels, and Small Vibrations of Mechanical Systems (English transl., 1961), Dept. of Commerce, Washington.
6. Gladwell, G. M. L. 1986. Inverse Problems in Vibration, Kluwer, Dordrecht.
7. Gladwell, G. M. L. 1995. On isospectral spring-mass systems, Inverse Problems 11:591-602.
8. Gladwell, G. M. L. 1997. Inverse vibration problems for finite element models, Inverse Problems 13:1-12.
9. Karlin, S. 1968, Total Positivity, Vol. 1, Stanford U.P.
10. Markham, T. 1970. On oscillatory matrices, Linear Algebra Appl. 3:143-158.