[PDF] Top 20 vol21p124-141. 165KB Jun 04 2011 12:06:10 AM

... Notice that Theorem 2.1 and its proof show how to choose the variable matrix X such that the rank and inertia of M (X ) in (2.1) attain their maximal and minimal values. Hence we can easily use them, as demonstrated in ... Lihat dokumen lengkap

... These characterisations may be both more relaxed for one and more restricted for the other, but they are still not sufficient in telling if a completely positive matrix is in the interio[r] ... Lihat dokumen lengkap

... As the main result of this paper it is proved that an interval matrix [Ac−∆, Ac+ ∆] is strongly regular if and only if the matrix inequalityMI− |I−RAc| − |R|∆≥Ihas a solution, whereM a[r] ... Lihat dokumen lengkap

... considerable attention, particularly for the case in which F = R (see [29, 17, 26, 25, 27, 13, 33, 5, 9, 22, 2, 11, 6, 7, 10, 18, 4]). The minimum rank problem over R is a sub-problem of a much more general ... Lihat dokumen lengkap

... Proof. If p(z) is a polynomial preserving the set of n × n exponentially nonnegative matrices (n ≥ 3), then it follows from Theorem 5.5 that the degree of p(z) can not exceed 1. Hence, p(z) = az + b. Moreover, by Lemma ... Lihat dokumen lengkap

... Reachability matrix, Krylow matrix, cyclic matrix, nonderogatory matrix, com-panion matrix, Vandermonde matrix, Hautus test.. LetKbe a field, and A∈Kn×n,b∈Kn.[r] ... Lihat dokumen lengkap

... How-ever, for nonnegative or positive semidefinite matricesA, B∈Mn, the spectral radius is submultiplicative with respect to the Hadamard entry-wise product: ρA◦B≤ρAρB 1.1 see Theorem [r] ... Lihat dokumen lengkap

... In [3], the first author of the present paper described the structure of all isometries of the space of invertible positive operators on a Hilbert spaceH equipped with the Thompson metr[r] ... Lihat dokumen lengkap

... The eigenvalues of theLG, especially the largest and the second smallest eigenvalues, are important in graph theory, because they have relations to numerous graph invariants including th[r] ... Lihat dokumen lengkap

... One of the principal results of [3] concerned expressing an MMA-matrix in terms of a smaller order MMA-matrix via the process of ination using some strictly positive inator. That result was rened in [12], where it ... Lihat dokumen lengkap

... Recent work on equations of type (1.1) under condition (1.2) have mostly followed the trail blazed by Wiles. For surveys of this emerging field, the reader is directed to papers of Kraus [10] and Merel ... Lihat dokumen lengkap

... It is well known thatifGis a connected graph andY is a Fiedler vector here the algebraic connectivity need not be simple such that a cut vertexv is a characteristic vertex and G− {v} has[r] ... Lihat dokumen lengkap

... In the case of a Riemannian manifold, the Itˆ o map transforms the ♯-Sobolev space W 1,p,♯ (Ω, µ) onto a Sobolev space W 1,p,♯ (Σ, ν) for ν = I (µ). The associated capacity is tight on the H¨ older compact sets of Σ (and ... Lihat dokumen lengkap

... The rest of this work is organised as follows. Notation and basic assumptions are given in Section 2, and Section 3 presents the homogeneous case α = 0 which has a simple connection with branching random walks. Then we ... Lihat dokumen lengkap

... The proof of Theorem 3 amounts to an adaptation of the proof of the lower bound in [17], with much of the proof abstracted into a general lower bound for the suprema of certain random processes due to Kashin and Tzafriri ... Lihat dokumen lengkap

... We show that the spectral radius decreases monotonically with the expansion and that, for a strongly connected graph that is not a single cycle, the spectral radius decreases strictly mo[r] ... Lihat dokumen lengkap

... The condition for attainment in the upper bound in Theorem 1.5 is proved by using the nite reection group structure which is an algebraic approach via a result of Niezgoda [11].. The aut[r] ... Lihat dokumen lengkap

... The hypotheses of Theorem 1 are automatically satisfied if E is an irreducible complex rep- resentation of SO(n) or Spin(n). In this case the decomposition of W ⊗ E into irreducibles is multiplicity-free. Thus, if π : W ... Lihat dokumen lengkap

... In Fig. 1(a) we demonstrate the influence of the transition from the focusing regime (χ > 1) to the defocusing one (χ < 1) on the MI bandwidth and the MI gain peak for media with cubic-quintic nonlinearity as the ... Lihat dokumen lengkap

... I am greatly indebted to my research advisor D. Markushevich for his encouragement and help. I would like to thank D. Korotkin for explaining me some points. I also acknowledge with pleasure the hospitality of the ... Lihat dokumen lengkap