[PDF] Top 20 vol17_pp426-435. 132KB Jun 04 2011 12:06:00 AM

... It is shown that the Schur complement of a submatrix, using the Moore-Penrose inverse, is a nonnegative idempotent matrix if the submatrix has a positive diagonal.. Similar results for [r] ... Lihat dokumen lengkap

... Row stochastic matrix, Doubly stochastic matrix, Matrix majorization, Weak matrix majorization, Left right multivariate majorization, Linear preserver.. Throughout the paper, the notatio[r] ... Lihat dokumen lengkap

... In this paper, necessary and sufficient conditions are stated for the Craig-Sakamoto equation detI−sA−tB =detI−sAdetI−tB to hold for all scalars s, t ∈C.. Moreover, spectral properties f[r] ... Lihat dokumen lengkap

... In this paper, the trees with a given diameter having the minimal energy are determined by three specific tree operations; using this method, together with previous work, a conjecture pr[r] ... Lihat dokumen lengkap

... More precisely, we show in Example 2.5 below that there is a matrix A in WPF3 that satisfies the following: A is not eventually nonnegative although the spectral radius of A is a simpl[r] ... Lihat dokumen lengkap

... Even if not explicitly, the same problem can also be found in some foundational issues of quantum theory (see [14]). Just recently, this was motivated by some other questions concerning unitary quantum evolution on ... Lihat dokumen lengkap

... It is, however, a subnorm, in fact a continuous submodulus but usually not a modulus, on any subset ofFn×n which is void of nonzero nilpotent matrices and closed under scalar multiplica[r] ... Lihat dokumen lengkap

... has been well-studied in matrix theory (see, e.g., [2], [9], [10], [12], [14], [18]-[21], [35]). For instance, Baksalary and Kala [2] gave necessary and sufficient conditions for the existence and an ... Lihat dokumen lengkap

... In order to test the accuracy of the three methods i.e., SVD method pinv, Courrieu’s method geninv and the proposed method ginv we invoke theginvtest function by using the command: >> [r] ... Lihat dokumen lengkap

... [12] J. J. McDonald and M. Neumann. The Soules approach to the inverse eigenvalue problem for nonnegative symmetric matrices of order n ≤ 5. In Algebra and its applications (Athens, OH, 1999), volume 259 of ... Lihat dokumen lengkap

... The existing results in [5,9],however,concern only the situation with symmet- ric transition probabilities,yet real-world networks,in general,involve asymmetric processes or interaction,an element distinct from simple ... Lihat dokumen lengkap

... that the matrix (1.1) has prescribed eigenvalues, over algebraically closed fields. Since the proof of the main result strongly uses previous results from [11] and [12], we cite here the main result of ... Lihat dokumen lengkap

... The NIEDP contains the nonnegative inverse eigenvalue problem (NIEP), which asks for necessary and sufficient conditions for the existence of an entrywise nonneg- ative matrix A with prescribed spectrum Λ. Both problems ... Lihat dokumen lengkap

... Notice that, according to the proof of Theorem 4.4, the only “types” of matrices inP2r+1,r up to a permutation similarity that achieve maximum exponent are A1:= Note that the matrixA2 [r] ... Lihat dokumen lengkap

... Let Ωn denote the set of doubly stochastic matrices non-negative matrices with row and column sums 1.It is well known that Ωnconsists of all matrices which can be written as a convex c[r] ... Lihat dokumen lengkap

... In the general case, a small linear form may be constructed out of sev-eral dominant roots instead of a single dominant root, but the inequality so obtained turns out to be too weak for [r] ... Lihat dokumen lengkap

... On the other hand, by Theorem 3.5, we cannot generate means whose isotropy group contains An−1 by composition of simpler means; therefore, there is no simpler approach than that of build[r] ... Lihat dokumen lengkap

... Here we present a sequence of plane algebraic curves and prove that each of them has a segment of points for which non uniform self-similar measures get singular with respect to Lebesgue[r] ... Lihat dokumen lengkap

... [11] E. Kaltofen and B.D. Saunders. On Wiedemann’s method of solving sparse linear systems. In Proceedings of Applied Algebraic Algorithms and Error Correcting Codes (New Orleans, LA), 29–38. Lecture Notes in Computer ... Lihat dokumen lengkap

... Starting from this point I posed the problem of finding the rational numbers x such that {2ⁿ⋅x}≥ 3... After some multiplications with 2, we can suppose that k and n are odd numbers.[r] ... Lihat dokumen lengkap