Displaying similar documents to “On the D -stability problem for real matrices”

The D -stability problem for 4 × 4 real matrices

Serkan T. Impram, Russell Johnson, Raffaella Pavani (2005)

Archivum Mathematicum

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We give detailed discussion of a procedure for determining the robust D -stability of a 4 × 4 real matrix. The procedure begins from the Hurwitz stability criterion. The procedure is applied to two numerical examples.

Global stability for diagrams of differentiable applications

Luis Antonio Favaro, C. M. Mendes (1986)

Annales de l'institut Fourier

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In this paper, we give some examples which point to the non-existence of C ∞ -global stable diagrams R ← g M → f R , M compact. If Φ : M → Q is fixed we define the Φ -equivalence for maps f : M → P and the corresponding Φ -stability. The globalization procedure works and we can compare the Φ -stability, Φ -infinitesimal stability, and Φ -homotopical stability. Also we give some characterization theorems for lower dimensions.

On a criterion of D-stability for P-matrices

Olga Y. Kushel (2016)

Special Matrices

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In this paper, we study positive stability and D-stability of P-matrices.We introduce the property of Dθ-stability, i.e., the stability with respect to a given order θ. For an n × n P-matrix A, we prove a new criterion of D-stability and Dθ-stability, based on the properties of matrix scalings.