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Concerning the interior of the D-stable matrices. (English) Zbl 0442.15003


MSC:

15A12 Conditioning of matrices
15B57 Hermitian, skew-Hermitian, and related matrices
65F35 Numerical computation of matrix norms, conditioning, scaling
34D20 Stability of solutions to ordinary differential equations
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[1] Barker, G. P.; Berman, A.; Plemmons, R. J., Positive diagonal solutions to the Lyapunov equations, Linear and Multilinear Algebra, 5, 249-256 (1978) · Zbl 0385.15006
[2] Johnson, Charles R., Sufficient conditions for \(D\)-stability, J. Economic Theory, 9, 53-62 (1974)
[3] Johnson, Charles R., Second, third, and fourth order \(D\)-stability, J. Res. Nat. Bur. Standards Sect. B, 78B, 11-33 (1974) · Zbl 0283.15005
[4] Lancaster, Peter, Theory of Matrices (1969), Academic: Academic New York
[5] Marcus, Marvin; Minc, Henryk, A Survey of Matrix Theory and Matrix Inequalities (1964), Allyn and Bacon: Allyn and Bacon Boston · Zbl 0247.15002
[6] Metzler, Lloyd, Stability of multiple markets: The Hicks conditions, Econometrica, 13, 277-292 (1945) · Zbl 0063.03906
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