[PDF] Top 20 vol13_pp40-55. 179KB Jun 04 2011 12:05:54 AM

... Moreover, we apply the same method, but with the simplified transformations defined in 1.8, and study the following discrete system ξt+ 1 =Aξt +bµt +F[2]ξt +Gξtµt +hµ2t +Oξ, µ3, 1.9 wh[r] ... Lihat dokumen lengkap

... Graphs, Minimum rank, Graph minor, Corank, Strong Arnold property, Symmetric matrices.. AMS subject classifications.[r] ... Lihat dokumen lengkap

... In connection with a divide and conquer algorithm for computing the stationary distribution vector for a Markov chain, Meyer introduced, for ann×n nonnegative and irreducible matrixK, th[r] ... Lihat dokumen lengkap

... A special choice for suchS is exhibited, as a product of doubly stochastic and diagonal substochastic matrices of a particularly simple structure.. Doubly-stochastic matrices, Inequalit[r] ... Lihat dokumen lengkap

... Conversely, if C is a nonpositive irreducible symmetric n×n matrix with zero diagonal entries, then there exists a real symmetric positive semidefinite matrix A with rank n−1, such that [r] ... Lihat dokumen lengkap

... IfF is a finite field with 2t elements, then mrF, G≤2 if and only if the complement ofGis the join of a complete graph with either the union of at most 2t + 1 nonempty complete graphs o[r] ... Lihat dokumen lengkap

... Moreover, ifAhas a normalizedLU factorizationA=LU, then the sign pattern ofAis shown to determine uniquely the sign patterns ofLandU, and with the standard LU factorization ofL−1 and, [r] ... Lihat dokumen lengkap

... The following properties are equiva-lent: P8: P allows totally nonzero right and left eigenvectors for the same eigenvalue; P9: P commutes with a totally nonzero, rank 1 matrix.. The [r] ... Lihat dokumen lengkap

... Banachiewicz-Schur form, Generalized inverse, Generalized Schur complement, Idempotent matrix, Matrix rank method, Maximal rank, Minimal rank, Moore-Penrose inverse, Partitioned matrix..[r] ... Lihat dokumen lengkap

... This paper surveys results in Spectral Graph Theory and the Inverse Eigenvalue Problem of a Graph, examines the connections between these problems, and presents some new results on const[r] ... Lihat dokumen lengkap

... Concerning singular DAEs, only a few results exist, see, e.g., [5, 6, 8, 11, 9, 12, 17]. As far as linear DAEs are concerned, they all require a number of constant rank assumptions. In particular, it is not clear ... Lihat dokumen lengkap

... In fact, in this case, the mathematical analysis does not change if instead of blocking, the first server helps the second one as soon as the length of the second server reachesN.. Remar[r] ... Lihat dokumen lengkap

... We can now think of block matrix multiplication as representing the total flow of information between the condensed nodesVi corresponding to the diagonal block entries.. In particular th[r] ... Lihat dokumen lengkap

... Sup-ported by BIRS and the International Linear Algebra Society ILAS, the workshop provided researchers working in combinatorial matrix theory with an opportunity to present accounts of [r] ... Lihat dokumen lengkap

... Spectral properties of sign symmetric matrices are studied.A criterion for sign symmetry of shifted basic circulant permutation matrices is proven, and is then used to answer the questi[r] ... Lihat dokumen lengkap

... Now subtracting the first row from each other row, we transform the matrixinto the following one:  Then the Laplace expansion formula with respect to the first row gives Mn = det Ex[r] ... Lihat dokumen lengkap

... Eigenvalue condition numbers, Jordan canonical form, Singular values.. AMS subject classifications.[r] ... Lihat dokumen lengkap

... Conversely, if forC=C∗>0there exist matricesP andH=H∗>0 satisfy-ing 1.10 and 1.11, then the matrixAhas no purely imaginary eigenvalues andP is the spectral projection onto the invariant [r] ... Lihat dokumen lengkap

... Concerning the eigenvectors, following the same reasoning as in the case whenα=d2 andβ=d1orβ =−d1and α=−d2 and since we use formula 13.a to find the components of the eigenvectors whic[r] ... Lihat dokumen lengkap

... cial case of second order systems, there are other symmetry preserving linearizations known in the literature [12]. However there is not a general linearization method for matrices of degree more than two, having ... Lihat dokumen lengkap