Inertia theorems for matrices: the semi-definite case
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- by David Carlson and Hans Schneider PDF
- Bull. Amer. Math. Soc. 68 (1962), 479-483
References
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1. W. Givens, Elementary divisors and some properties of the Lyapunov mapping X -> AX + XA*, Argonne National Laboratory Report ANL-6456, 1961.
- A. Liapounoff, Problème Général de la Stabilité du Mouvement, Annals of Mathematics Studies, No. 17, Princeton University Press, Princeton, N. J.; Oxford University Press, London, 1947 (French). MR 0021186
- Alexander Ostrowski and Hans Schneider, Some theorems on the inertia of general matrices, J. Math. Anal. Appl. 4 (1962), 72–84. MR 142555, DOI 10.1016/0022-247X(62)90030-6
- Olga Taussky, A generalization of a theorem of Lyapunov, J. Soc. Indust. Appl. Math. 9 (1961), 640–643. MR 133336
Additional Information
- Journal: Bull. Amer. Math. Soc. 68 (1962), 479-483
- DOI: https://doi.org/10.1090/S0002-9904-1962-10784-8
- MathSciNet review: 0148677