[PDF] Top 20 vol18_pp442-461. 203KB Jun 04 2011 12:06:03 AM

... Inverse eigenvalue problems and lists of multiplicities of eigenvalues for matrices whose graph is a tree: the case of generalized stars and double generalized stars.. Leal Duarte, and C[r] ... Lihat dokumen lengkap

... Ifbc= 0, then the left eigenvalues ofAare given byq=a+bp, wherepis any solution of the unilateral quadratic equation p2 using the axiomatic properties of Sdet see [1, 3], we can triangu[r] ... Lihat dokumen lengkap

... Thus,RCR−1is a nonnegative symmetric generalized doubly stochastic matrix and B′ =RDR−1+RCR−1 is positive symmetric generalized doubly stochastic matrix withJCFequal toD+C,and henceB′has[r] ... Lihat dokumen lengkap

... ELA Short Proofs of Theorems of Mirsky and Horn 441 While Chan and Li’s proof of Horn’s Theorem and our proof of Mirsky’s Theorem have a similar structure, there is a significant diffe[r] ... Lihat dokumen lengkap

... As we assume that all finite eigenvalues of 1.1 are algebraically simple, it follows from Theorem 3.5 that λ0,−α is an eigenvalue of the associated pair of generalized eigenvalue problem[r] ... Lihat dokumen lengkap

... For almost every graph discussed that has field independent minimum rank, we exhibit a single integer matrix that over every field has the given graph and has rank in that field equal to[r] ... Lihat dokumen lengkap

... The goal of this work is to show that most of the pencils inL1P andL2P are stil l linearizations whenPλ is a singular square matrix polynomial, and that these linearizations can be used [r] ... Lihat dokumen lengkap

... SupposeA1 is transformed to an upper echelon form with no pivoting, so there exists a unique factorization L1D1U1, where L1 ∈ Rr×r is a unit lower triangular matrix, D1 ∈ Rr×r is a non[r] ... Lihat dokumen lengkap

... This is accomplished by borrowing theory and techniques used in the cone-theoretic generalizations of M-matrices, and by drawing on recent advancements in the study of eventually nonnegative matrices. The latter have ... Lihat dokumen lengkap

... In the following we are going to decompose the complete problem 1.1 into four subproblems by projecting 1.1 through the following projectors: PAPE corresponds to the non-zero, finite e[r] ... Lihat dokumen lengkap

... 1.1. The first group. Theorem 2.1gives necessary and sufficient conditions on the Weyr characteristics, [20], of matrices A and B if rank(A − B) ≤ k. In one direction the theorem is known; see [12, 13, 14]. For k = ... Lihat dokumen lengkap

... In 1994, Wimmer [12] gave a necessary and sufficient condition for the consistency of (1.1)over C by matrix pencils. In 2002, Wang, Sun and Li [14] established a necessary and sufficient condition for the ... Lihat dokumen lengkap

... The dimension of matrices matrix pencils with given Jordan Kronecker canonical forms... [3] Harley Flanders.[r] ... Lihat dokumen lengkap

... For example, Mitra [1] considered solutions with fixed ranks for the matrix equationsAX =B and AXB =C; Mitra [2] gave common solutions of minimal rank of the pair of matrix equationsAX =C[r] ... Lihat dokumen lengkap

... Section 3 concerns matrices of the formA=A1⊕ei 2π 3 A2⊕ei 4π 3 A3,whereA∗ 1=A1, A∗2=A2, A∗3=A3.Additional results and remarks about the polynomial numerical hulls of orderkof norma[r] ... Lihat dokumen lengkap

... Weighted graph, Generalized Bethe tree, Laplacian matrix, Adjacency matrix, Spectral radius, Algebraic connectivity.. LetG= V, E be a simple graph with vertex setV and edge setE.[r] ... Lihat dokumen lengkap

... It turns out Corollary 2 below that the length of the relevant continued fraction does not tend to infinity if and only if α/β admits an expansion as a finite continued fraction overE.. [r] ... Lihat dokumen lengkap

... stable proportion matches computations well. In particular, this propor- tion is approaching 1 (what is left decreases by approximately 0.901, which is one quarter the largest root of x 3 − 2x 2 − 8x + 8 = 0, each time) ... Lihat dokumen lengkap

... Making use of certain linear operator, we define a new subclass of meromorphically uniformly convex functions with positive coefficients and obtain coefficient estimates, growth and dist[r] ... Lihat dokumen lengkap

... Authors: Maslina Darus School of Mathematical Sciences Faculty of science and Technology Universiti Kebangsaan Malaysia Bangi 43600, Selangor Darul Ehsan Malaysia email: [email protected][r] ... Lihat dokumen lengkap