Monotone power method in indefinite metric and inertia theorem for matrices

Linear Algebra and Its Applications

Volumn 241-243, Issue , 1996, Pages 153-166

  Ben Artzi, A ^a   Gohberg, I ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21344467648     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/0024-3795(95)00603-6     Document Type: Article

References (14)

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2. B. E. Cain, Inertia theory, Linear Algebra Appl. 30:211-240 (1980).
3. Ju.L. Daleckii and M. G. Krein, Stability of Solutions of Differential Equations in Banach Space, Transl. Math. Monographs, Vol. 43, Amer. Math. Soc., Providence, RI, 1974.
4. C.-E. Fröberg, Introduction to Numerical Analysis, Addison-Wesley, 1965.
5. R. D. Hill, Inertia theory for simultaneously triangulable complex matrices, Linear Algebra Appl. 2:131-142 (1969).
6. M. G. Krein, Stability Theory of Differential Equations in Banach Spaces (in Russian), Kiev, 1984 (an expanded English translation of this book is [DK]).
7. P. Lancaster and M. Tismenetsky, The Theory of Matrices, Academic Press, New York, 1985.
8. A. Ostrowski and H. Schneider, Some theorems on the inertia of general matrices, J. Math. Anal. Appl. 4:72-84 (1962).
9. P. Stein, Some general theorems on iterants, J. Res. Natl. Bur. Standards 48:82-83 (1952).
10. O. Taussky, A generalization of a theorem of Lyapunov, J. Soc. Ind. Appl. Math. 9:640-643 (1961).
11. n → 0, J. Algebra 1:5-10 (1964).
12. H. Wielandt, On the eigenvalues of A + B and AB, J. Res. Natl. Bur. Standards B 77:61-63 (1973).
13. H. Wimmer, On the Ostrowski-Schneider inertia theorem, J. Math. Anal. Appl. 41:164-169 (1973).
14. H. Wimmer and A. D. Ziebur, Remarks on inertia theorems for matrices, Czech. Math. J. 25:556-561 (1975).