[PDF] Top 20 vol17_pp376-388. 160KB Jun 04 2011 12:06:00 AM

... 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

... 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

... 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

... 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

... 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

... 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

... 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

... nonnegative matrix is t = 1. The smallest t for which τ(t) is the spectrum of a symmetric nonnegative matrix is t = 1. This was first shown by Loewy and a different proof can be found in [12]. The case when we add ... 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

... 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

... 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

... 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

... One of the main results here is Theorem 4.2, which shows that for a nonnegative square matrixAthe kernelNr,A 1 for the restriction A 1 of Ato the lattice idealI 1 is a sublattice i [r] ... Lihat dokumen lengkap

... From a block-ordered right coprime decomposition of a rational matrix of the given periodic collection, the corresponding block-ordered right coprime decompositions of the remaining matr[r] ... Lihat dokumen lengkap

... In [6], the author characterized the extremal graph of bicyclic graphs withk pendant vertices with maximal signless Laplacian spectral radius.. For further details, we refer the reader t[r] ... Lihat dokumen lengkap

... The fundamental work on weighted spaces of continuous scalar-valued func- tions has been done mainly by Nachbin [12, 13], in the 1960’s. Since then it has been studied extensively for a variety of problems by ... Lihat dokumen lengkap

... By the main finiteness criterion from [3], it follows that Fx, Gx = φ◦u◦κx, φ◦v◦ℓx, where φx ∈Q[X] is a non-constant polynomial,κx andℓx are linear polynomials inQ[x] and the pair of pol[r] ... Lihat dokumen lengkap