[PDF] Top 20 vol22_pp267-276. 146KB Jun 04 2011 12:06:12 AM

... These results are used to characterize all extremal weighted trees with the largestp-Laplacian spectral radius among all weighted trees with a given degree sequence and a positive weight[r] ... Lihat dokumen lengkap

... The signless Laplacian separator of a graph is defined as the difference between the largest eigenvalue and the second largest eigenvalue of the associated signless Laplacian matrix.. In[r] ... Lihat dokumen lengkap

... Both infinite and sequences of finite Toeplitz matrices are considered, and also studied is the finite section method, which consists in approximating infinite systems by large finite tr[r] ... Lihat dokumen lengkap

... (yielding that also d (2) (t), u(t) and v(t) are constant in I due to Lemma 2.3) a global condensed form for triples of matrix-valued functions under global equivalence trans- formations (2.1) has been derived in ... Lihat dokumen lengkap

... By 4.3, the generic canonical form may not contain any right singular blocks and hence, using 4.1 and 4.4, the rest must be composed of Jordan pairsJ1λi belonging to n2 mutually differ[r] ... Lihat dokumen lengkap

... If the diagonal map∆is multiplicative on a semigroup generated by a nilpotent matrix N ∈ MnC of rank n−1, then the semigroup is completely decomposable.. We use induction onn, the dimen[r] ... Lihat dokumen lengkap

... Euclidean Jordan algebra, Pseudomonotone, Positive subdefinite PSBD, Copos-itive, Copositive star, Automorphism, Z-property.. AMS subject classifications.[r] ... Lihat dokumen lengkap

... matrices (see [8]), the authors of [11], [12], [13], and [15] studied the situation of the partitioned block corresponding to α = {1, 2, . . . , k}, then by the permutation simi- larity (1.4), the same conclusion ... Lihat dokumen lengkap

... This is a variant on thesymmetric minimum rank problem for a simple graph, which asks for a determination of the minimum rank among all real symmetric matrices whose zero-nonzero pattern[r] ... Lihat dokumen lengkap

... And the state feedback control and the performance index of the system 1.1, respectively, are ut =−Kxt, K=BTP, and J = Z ∞ 0 xT Qx+uT udt, where Q ∈ Rn×n is symmetric positive [r] ... Lihat dokumen lengkap

... • Operator Diaz–Metcalf inequality of second type • Operator P´olya–Szeg¨o inequality ΦA♯ΦB≤12 • Operator Shisha–Mond inequality ΦA♯B−1 • Operator Gr¨uss type inequality ΦA♯ΦB−ΦA♯B[r] ... Lihat dokumen lengkap

... The main aim of this paper is to provide more results of the above type as well as bounds in the operator order for the selfadjoint linear operator where f is a continuous function of[r] ... Lihat dokumen lengkap

... We prove that this is indeed the case for finite rank operators and for normal trace-class operators.. An operatorX ∈LH is said to beessentially selfadjointif there isν ∈Csuch thatX−νI[r] ... Lihat dokumen lengkap

... In Section 2, we provide examples of tournament matrices for which equality holds in Theorem 1.2, and in Section 3, we discuss relationships between the tournament matrices with minimum [r] ... Lihat dokumen lengkap

... We first prove Theorem 5 and Theorem 6 and then use these results to deduce Theorem 1. The proof of Theorem 5 is modeled after the proof of Theorem 1.1(a) in Guionnet and Zeitouni [9]. It rests on a version of ... Lihat dokumen lengkap

... In 1994, Wimmer [12] gave a necessary and sufficient condition for the consistency of (1.1)over C by matrix pencils. In 2002, Wang, Sun and Li [14] established a necessary and sufficient condition for the ... Lihat dokumen lengkap

... The study of algebraic curvature tensors has been approached in several ways. For instance, B. Fiedler [7] investigated A(V ) using methods from algebraic combinatorics, and later used group representation theory to ... Lihat dokumen lengkap

... [4, Corollary 2.2]In any graph the multiplicity of the eigenvalue 0 of the signless Laplacian matrix is equal to the number of bipartite components... Also equality holds if and only if[r] ... Lihat dokumen lengkap

... Our goal is to study the minimum semidefinite rank of all outerplanar graphs. Along these lines, it is known that the minimum semidefinite rank of trees on n vertices is n−1 (see [12]), and that for any unicyclic ... Lihat dokumen lengkap

... The Karlin-McGreogor diagonalization can be used to answer recurrence/transience questions, as well as those of probability harmonic functions, occupation times and hitting times, and a large number of other quantities ... Lihat dokumen lengkap