[PDF] Top 20 vol16_pp135-156. 226KB Jun 04 2011 12:05:56 AM

... 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

... 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

... 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

... 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

... 4. Comparison with previous criteria. Several realizability criteria which were first obtained for the RNIEP have later been shown to be realizability criteria for the SNIEP as well. Kellogg’s criterion [8], for instance, ... 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

... 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

... 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

... 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

... 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

... 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

... We also identify a family of distributions on the configuration of particles parameterized by particle density which are stationary under the quenched dynamics of the random walks and sh[r] ... Lihat dokumen lengkap

... The solution is elementary and self contained, and includes several known results as special cases, e.g.,X is Hermitian or positive semidefinite, andX is real with positive definite symm[r] ... Lihat dokumen lengkap

... Suppose A is supported on the same 2 × 2 matrix as C. To show that f (A) ∼ A, suppose, by way of contradiction, f (A) ∼ A and A ∼ A (so A has four nonzero entries). Let B be a rank one matrix supported on the same 2 × 2 ... Lihat dokumen lengkap

... Nonnegative matrices, Diagonal similarity scaling, Diagonal equivalence scaling, Digraph of a matrix, Cyclic product, Cycle mean, Lattice ordered commutative groups.. AMS subject classif[r] ... Lihat dokumen lengkap