[PDF] Top 20 vol18_pp108-116. 140KB Jun 04 2011 12:06:02 AM

... Motivated by this situation, in this paper we consider the generalized eigenvalue problem both for rectangular and for square constant coefficient matrices associated with autonomous sin[r] ... Lihat dokumen lengkap

... In the study of the combinatorially symmetric TN completion problem [JKL], it is shown that for every partial TN matrix with specified entries corresponding to a monotonically labeled bl[r] ... Lihat dokumen lengkap

... In [9,10] solvability conditions for symmetric and positive definite solutions and general solutions of Equation 1.2 were obtained through the use of the generalized singular value decom[r] ... Lihat dokumen lengkap

... Then |||Aα1Bβ1Aα2· · ·Bβn−1Aαn||| ≤ |||AB|||s is true for all pairs of positive-definite matrices A and B of the same shape if and only if the inequalities in the left-hand column of T[r] ... Lihat dokumen lengkap

... So to prove the theorem it suffices to show that each non-scalar invertible matrix A∈MnD, is joined to a non-zero, non-invertible matrix in ΓCMnD.. By Theorem 1.2, we may assume that A i[r] ... Lihat dokumen lengkap

... edge, the reflexive re-nonnegative definite solution to (1.1)and the re-nonnegative definite solution to (1.2)have not been investigated yet so far. Motivated by the work mentioned above and keeping the interests and ... Lihat dokumen lengkap

... know whether these statements are equivalent to “A is an IAP” when A is a full sign pattern.Except possibly for the statement “A is an rIAP implies that A is a SAP”, the converse of each implication in the diagram above ... Lihat dokumen lengkap

... If we can find a signing for D that makes the sign of every cycle +, then the digraph D hasQ-completion, and since by Corollary 2.5 we can make the problem easier by removing arcs fromD [r] ... Lihat dokumen lengkap

... Ifvis connected to exactly one of its neighbors by a single edge, then M+G =M+H, where H is the graph obtained from G−v by connecting r1 and r2 by two edges in parallel.. LetHi fori= 1[r] ... Lihat dokumen lengkap

... 1. Introduction. The eigenvalues of the combinatorial Laplacian have been intensively investigated during the last decades. Recently there is an increasing in- terest in the discrete p-Laplacian, a natural generalization ... Lihat dokumen lengkap

... Minimum rank, Maximum nullity, symmetric minimum rank, Asymmetric mini-mum rank, Path cover number, Zero forcing set, Zero forcing number, Edit distance, Triangle num-ber, Minimum degree[r] ... Lihat dokumen lengkap

... In either event, the smallest eigenvalue ofAis real, has algebraic multiplicity one and its typical eigenvector is totally nonzero with sign pattern corresponding to that of a column of [r] ... Lihat dokumen lengkap

... The reachability index for positive 1-D systems has been studied in [5], [9], [14], [15] and [26] among others, and it is always bounded by n (see [12] and [13]). However, despite the numerous research efforts, an ... Lihat dokumen lengkap

... 2.5 Referring to the already mentioned fact that any transformation of the formA −→ SAS∗ with some invertible bounded linear or conjugate-linear operatorS onH pre-serves Lebesgue deco[r] ... Lihat dokumen lengkap

... Observe that if we apply a similar labeling to T as in the previous section and consider the bidirected tree T with the underlying tree structure T, and use the weights ui = x ∀i, vi = y[r] ... Lihat dokumen lengkap

... Linear complementarity problem, Moore-Penrose inverse, Verified solution, Abso-lute value equation.. AMS subject classifications.90C33.[r] ... Lihat dokumen lengkap

... Research on representations of the group inverse of block matrices is an important effort in generalized inverse theory of matrices;see [14] and [13]. Indeed, generalized inverses are useful tools in areas such as ... Lihat dokumen lengkap

... We may find the determinant, rank, inverse, eigenvalues and eigenvectors, and so on, for the matrix M from (4.7). Some other applications of (4.1) to quaternion matrices were presented in Tian [12]. From (3.8) we ... Lihat dokumen lengkap

... By transforming the original system through the computation of Gr¨obner bases of appropriate elimination ideals, we are able to classify all solutions of 1.1 whenn= 2.. Similar computa[r] ... Lihat dokumen lengkap

... . Then the right hand side of (1.3) is 1, but the only real (A, B)-neutral subspace is the zero subspace. Of course, in accordance with [12] there exist complex, as well as quater- nionic, 1-dimensional (A, ... Lihat dokumen lengkap