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Bulletin of the American Mathematical Society

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



Stability and semipositivity of real matrices

Authors: Abraham Berman and Robert C. Ward
Journal: Bull. Amer. Math. Soc. 83 (1977), 262-263
MSC (1970): Primary 15A48; Secondary 15A15, 15A18, 65F15, 93D05
MathSciNet review: 0422309
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  • 1. G. P. Barker, A. Berman and R. J. Plemmons (1976), Positive diagonal solutions to the Lyapunov equations, Math. Res. Center Report #76-087, Univ. of Wisconsin, Madison. MR 469939
  • 2. M. Fiedler and V. Pták (1962), On matrices with non-positive off-diagonal elements and positive principal minors, Czechoslovak Math. J. 12 (87), pp. 382-400. MR 26 #134. MR 142565
  • 3. C. R. Johnson (1974), Second, third, and fourth order D-stability, J. Res. Nat. Bur. Standards Sect. B 78 pp. 11-13. MR 49 #5042. MR 340287
  • 4. A. M. Lyapunov (1892), Problème général de la stabilité du mouvement, Comm. Math. Soc. Kharkow; English transl., Ann. of Math. Studies, no. 17, Princeton Univ. Press, Princeton, N. J.; Oxford Univ. Press, London, 1947. MR 9, 34.
  • 5. O. Taussky, A remark on a theorem of Lyapunov, J. Math. Anal. Appl. 2 (1961), 105-107. MR 23 #A1649. MR 124335
  • 6. J. Vandergraft (1972), Applications of partial orderings to the study of positive definiteness, monotonicity and convergence, SIAM J. Numer. Anal. 9, pp. 97-104. MR 46 #9074. MR 309971

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