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Three types of matrix stability. (English) Zbl 0376.15007


MSC:

15A21 Canonical forms, reductions, classification
15A18 Eigenvalues, singular values, and eigenvectors
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[1] Quirk, J.; Ruppert, R., Qualitative economics and the stability of equilibrium, Rev. Econ. Stud., 32, 311-325 (1965)
[2] K.P. Hadeler, Nonlinear diffusion equations in biology, in Proceedings of the Conference on Differential Equations, Dundee 1976,; K.P. Hadeler, Nonlinear diffusion equations in biology, in Proceedings of the Conference on Differential Equations, Dundee 1976, · Zbl 0354.65058
[3] Johnson, C. R., Sufficient conditions for \(D\)-stability, J.Econ. Theory, 9, 53-62 (1974)
[4] Goh, B. S., Global stability in many species systems, Am. Nat., 111, 135-143 (1977)
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[10] Johnson, C. R., \(D\)-stability and real and complex quadratic forms, Linear Algebra Appl., 9, 89-94 (1974) · Zbl 0292.15012
[11] Goh, B. S., Global stability in two species interactions, J. Math. Biol., 3, 313-318 (1976) · Zbl 0362.92013
[12] Cain, B. E., Real, 3 × \(3, D\)-stable matrices, J. Res. Natl. Bur. Stand., 80, 75-77 (1976), Sect. B · Zbl 0341.15009
[13] Plemmons, R. J., \(M\)-Matrix characterizations, I—Non-singular \(M\)-matrices, Linear Algebra Appl., 18, 175-188 (1977) · Zbl 0359.15005
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