Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

   
 
 

 

Inertia theorems for matrices: the semi-definite case


Authors: David Carlson and Hans Schneider
Journal: Bull. Amer. Math. Soc. 68 (1962), 479-483
DOI: https://doi.org/10.1090/S0002-9904-1962-10784-8
MathSciNet review: 0148677
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References [Enhancements On Off] (What's this?)

    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 https://doi.org/10.1016/0022-247X%2862%2990030-6
  • Olga Taussky, A generalization of a theorem of Lyapunov, J. Soc. Indust. Appl. Math. 9 (1961), 640–643. MR 133336


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