[PDF] Top 20 vol17_pp543-576. 274KB Jun 04 2011 12:06:01 AM

... Furthermore, when one is faced with matrices whose entries obey a recursive relation, inversion can be complicated. Such matrices have been studied e.g., in [1], [6], [8], [10], [11], [12] and [14]. The research ... Lihat dokumen lengkap

... 1. Introduction. It is well-known that Toeplitz and block Toeplitz matrices are closely related to a discrete system of equations, namely to Szeg¨o recurrence. This connection have been actively studied during the last ... Lihat dokumen lengkap

... For the first of two main parts of the proof, suppose K has rank 1. Since the rank is invariant under real equivalence, we onlyneed to inspect the list of canonical forms to find pairs (E, F) so that E + iF is a rank 1 ... Lihat dokumen lengkap

... Multiplicative maps, Jordan maps, Jordan triple maps, Elementary maps, Trian-gular algebras, Standard operator algebras, Additivity.. Introduction and Preliminaries.[r] ... Lihat dokumen lengkap

... has a long history. In the antic Greece, Archimedes (287BC − 212BC) obtained expressions for n = 1 and n = 2, andduring the apex of Arab mathematical sci- ence, in the eleven century, Al-Haytham (965-1038), known in the ... Lihat dokumen lengkap

... A nonsingular triangular n×n totally positive matrices can be regarded as a strictly n−1,0- or 0, n−1-banded matrix except that the strictness is applied only to the 0-band.. We state th[r] ... Lihat dokumen lengkap

... Linearizations of regular matrix polynomials have been widely used in contexts like the Polynomial Eigenvalue Problem (see [1, 9, 10, 12, 13, 15] and the references therein) or the solution of Linear Differential ... Lihat dokumen lengkap

... A natural question arises whether or not the equality persists in (1.3) for all pairs of hermitian matrices A and B. Using the techniques of higher rank numerical ranges, it was proved in [12] that this is indeed ... Lihat dokumen lengkap

... By Proposition 4.8 case s = 1, strong FC rings are precisely those rings for which any system of residual rank ≥ r satisfies the decomposition weak K1 r, which simply says that we can e[r] ... Lihat dokumen lengkap

... Two of them are In this paper, after introducing a new inclusion region for eigenvalues of a matrix in Section 2, we present a parameterized lower bound for the smallest singular value [r] ... Lihat dokumen lengkap

... in addition, every diagonal entry ofU∗PλU is a polynomial with exactlymdistinct zeros, or equivalently, all the eigenvalues ofPλ are semisimple, thenPλ is called normal.. Clearly, the [r] ... Lihat dokumen lengkap

... This paper is closely related to [12] although it presents its counterpart which deals with complex s.d.d. indefinite Hermitian matrices. There are many similarities with the content of [12]. We use the ... Lihat dokumen lengkap

... Letλ1 be the largest eigenvalue of the adjacency matrix of a graph Gon nvertices with maximum degree ∆.. Spectral radius, Non-regular graph,λ1-extremal graph, Maximum degree.[r] ... Lihat dokumen lengkap

... This is a remarkable result, since it transforms a nonconvex quadratic integer problem equivalently into a linear problem over a convex cone, i.e., a convex optimization problem which ha[r] ... Lihat dokumen lengkap

... The variation of the rank of elliptic curves over Q in families of quadratic twists has been extensively studied by Gouvˆea, Mazur, Stewart, Top, Rubin and Silverberg.. It is known, for[r] ... Lihat dokumen lengkap

... 3 Explicit co-adapted coupling for the twice-iterated Kolmogorov diffusion We now describe a constructive approach to successful co-adapted coupling of Brownian motion and its first tw[r] ... Lihat dokumen lengkap

... Keywords: Random Environment, Random Walk, RWRE, Transience, Zero-One Law Abstract In this note we present a simplified proof of the zero-one law by Merkl and Zerner 2001 for direction[r] ... Lihat dokumen lengkap

... The rest of the paper is organized as follows. In Section 2 some preliminary lemmas are established. Theorems 1.1 and 1.2 are proved in Section 3 and Theorem 1.3 in Section 4. In Section 5 their d- dimensional analogues, ... Lihat dokumen lengkap

... In this situation the pseudoprocess Ψnt, t > 0 reduces to the Brownian motion with variance 2t Bt, t >0 and therefore the solution of 5 coincides with the transition density of the proce[r] ... Lihat dokumen lengkap

... |∇ f | 2 dµ, (8) with for example φ(x) = xF (x). In general, Inequalities (7) and (8) have different features. Note that (7) is an equality for constant f if F(1) = 0. We shall say that the inequality is tight in this ... Lihat dokumen lengkap