vol18_pp613-627. 162KB Jun 04 2011 12:06:04 AM
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Alternatively, we can prove a result along the lines of Theorem 3.1 using results on integral points of bounded degree on curves.. Here φ is Euler’s
We now prove another characterization of Lyapunov -scalar stability in terms of P -matrices, generalizing Theorem 1.2 in [12]. The following
In the next theorem, we show constructively that the equation (2.1) has non-trivial solutions for a large groupof two by two matrices A (over the real numbers)..
SAS ∗ with some invertible bounded linear or conjugate-linear operator S on H pre- serves Lebesgue decompositions in both directions, we see that the transformation in (2.5) is
While Chan and Li’s proof of Horn’s Theorem and our proof of Mirsky’s Theorem have a similar structure, there is a significant difference: The matrices whose existence is guaranteed
Lemma 2.2 follows from [11, Theorem 1] (or see [12, Theorem 3.1]), in which the problem of classifying systems of forms and linear mappings over a field of characteristic not 2
Ando, Li and Mathias [1] first proposed a mean whose definition for n matrices is based on a limit process involving several geometric means of n − 1 matrices.. Later Bini, Meini
Theorem 24 shows that the fixed proposal component guaran- tees, with a verifiable non-restrictive Assumption 22, that the eigenvalues of the adapted covariance parameter S n
