[PDF] Top 20 vol16_pp157-161. 119KB Jun 04 2011 12:05:56 AM

... 1. Introduction and some notation. Vandermonde matrices with real nodes are often badly conditioned; see [8], [12] or [2]. However, this is not necessarily so when the nodes are complex. In fact, such matrices can ... Lihat dokumen lengkap

... surely destined for failure due to the non-commutativity of the quaternionic algebra [11]. The quaternionic eigenvalue problem has recently been investigated by means of the complex representation of quaternionic ... Lihat dokumen lengkap

... As the main result, necessary and sufficient conditions are given, under which the system obtained as a result of series connections of arbitrary many linear systems is controllable.. Co[r] ... Lihat dokumen lengkap

... Using these new matrices, we generate the generalized sine and cosine functions FA The advantage of these new trigonometric functions is that they satisfy the following addition formul[r] ... Lihat dokumen lengkap

... It was later extended to regular rings by Guralnick [6], who showed that over a regular ring, Roth’s equivalence property holds if and only ifRis stably finite.. In a parallel paper [7],[r] ... Lihat dokumen lengkap

... an extreme symmetric matrix with prescribed spectrum and show that one of these patterns yields to realizable points which have not been known previously. In [12] is presented a graph related with the second ... Lihat dokumen lengkap

... The first is Cauchy’s Interlacing theorem which states that the eigenvalues of a Hermitian matrix A of order n interlace the eigenvalues of the principal submatrix of order n−1, obtained[r] ... Lihat dokumen lengkap

... Gernert [5] see also Stevanovi´c [12] has proved that the inequality µ1G +µ2G≤vG holds ifthe graphGhas fewer than 10 vertices or is one of the following types: regular, triangle-free, [r] ... Lihat dokumen lengkap

... As reported above, recently Holtz [5] proved that the class of nonsingular M–matrices and their inverses both satisfy Newton’s inequalities with respect to their eigenvalues.. It was al[r] ... Lihat dokumen lengkap

... Limit points for the positive eigenvalues of the normalized Laplacian matrix of a graph are considered.Specifically, it is shown that the set of limit points for thej-th smallest such ei[r] ... Lihat dokumen lengkap

... Conjecture 1.1 holds in case thatAis hermitian andB a non-real scalar multiple of a hermitian matrix.. Conjecture 1.1 is known in a great many special cases.[r] ... Lihat dokumen lengkap

... Throughout the paper, we let·denote a consistent family of norms on matrices of all sizes, which satisfies the following four axioms: 1A ≥0, andA= 0 if and only ifA= 0; 2cA=|c| A for al[r] ... Lihat dokumen lengkap

... The next example shows that, for anyn≥2, there exists an operatorT :Mn → Mn which strongly preserves multivariate majorization as well as the matrices of nonnegative entries but T is no[r] ... Lihat dokumen lengkap

... If we consider an infinite matrix T∞, then TN for N ∈ N0 will denote its left upper corner N + 1×N + 1 leading submatrix or, equivalently, finite section and similarly for typeH.. We sh[r] ... Lihat dokumen lengkap

... see that H-normality is invariant under transformations of the form (1.1) as well.) However, it has been observed in [8] that the problem of classifying H-normal matrices is wild and so far, canonical forms have been ... Lihat dokumen lengkap

... The typical scheme of the canonical form for polynomiallyH-normal matrices can also be observed in the canonical forms forH-selfadjoint,H-skewadjoint, andH -unitary matrices, not only in[r] ... Lihat dokumen lengkap

... We shall now consider the structured condition numbers when the underlying scalar product is a bilinear form in section 3.1, and when the scalar product is a sesquilinear form in section[r] ... Lihat dokumen lengkap

... ELECTRONIC COMMUNICATIONS in PROBABILITY A NON-COMMUTATIVE SEWING LEMMA DENIS FEYEL D´epartement de Math´ematiques, Universit´e d’Evry-Val d’Essonne, Boulevard Francois Mitter-rand, [r] ... Lihat dokumen lengkap

... In this note we generalize the result of Bapat whenn= 3 to matrices whose graph is a cycle.. For sake of simplicity we consider only symmetric matrices throughout.[r] ... Lihat dokumen lengkap

... Then we apply this result on the solutions Xt of a stochastic differential equation with a positive coefficient σ, we prove that these solutionsXtare increasing with respect to the orde[r] ... Lihat dokumen lengkap