[PDF] Top 20 vol17_pp192-208. 235KB Jun 04 2011 12:05:59 AM

... denoted by A = tridiag(c, a, b). These matrices are of Toeplitz type, because all the entries in each diagonal are equal. Marcus and Shure [12] proved that the numerical range of tridiag(0, 0, 1) is a circular ... Lihat dokumen lengkap

... Anℓn×ℓnlinear matrix pencilλA−Bis astrong linearizationof then×nregular matrix polynomialPλ of extended degreeℓif there are unimodular matrix polynomialsEλ, Fλ such that We emphasize t[r] ... Lihat dokumen lengkap

... this paper contains Theorem 1.4 and Theorem 1.5 as a corollary of a more general result. Their proof was quite technical and I am convinced the proof presented here is a proof on a more elementary level. Moreover, ... Lihat dokumen lengkap

... Then A is equivalent to a projection if and only ifAis an immediate predecessor of some maximal matrix, and, up to equivalence, there exists precisely one maximal matrix which A connec[r] ... Lihat dokumen lengkap

... Hamiltonian matrix, Skew-Hamiltonian matrix, Symplectic matrix, Structured perturbation, Invariant subspace, Purely imaginary eigenvalues, Passive system, Robust control, Gyroscopic syst[r] ... Lihat dokumen lengkap

... We use this formula to give a graph-theoretic description of the entries of the group inverse of an irreducible tridiagonal matrix of order 2k+1 with zero diagonal which has a path gra[r] ... Lihat dokumen lengkap

... It is also shown that forn≥2, there are no square sign patterns of ordernthat require a positive left inverse, and that annby nsign pattern requiring a nonnegative left inverse is permu[r] ... Lihat dokumen lengkap

... Several versions of the canonical form are available in the literature, some more explicit than others, see, e. g., [3], [6], [12], [21], [4]; often, the canonical forms for H -symmetric matrices are derived from ... Lihat dokumen lengkap

... Young subgroups, Spherical functions, Finite symmetric spaces, Ramanujan graphs, Symmetric groups, Representations, Characters, Spectral graph theory, Gelfand pair.. Johnson graphs are h[r] ... Lihat dokumen lengkap

... bF1a is a forest in which all but one tree, say T3, are simple coronas and a non-pendant vertex of each simple corona tree is adjacent to1 in G, and c the graph induced by1, v1 and ver[r] ... Lihat dokumen lengkap

... In this paper, our main purpose is to study the relation be-tween the Drazin inverse both for rectangular and square constant coefficient matri-ces and the relevant matrix pencil approac[r] ... Lihat dokumen lengkap

... In this paper, it is shown that among connected graphs with maximum clique sizeω, the minimum value of the spectral radius of adjacency matrix is attained for a kite graphP Kn−ω,ω, whi[r] ... Lihat dokumen lengkap

... where a, b, c, d are fixed n × n matrix functions and each linear fractional transfor- mation is induced by a pair of n × n matrix functions R(λ), Q(λ) . Such transfor- mations are widely used in the interpolation and ... Lihat dokumen lengkap

... If we try to construct a 5×5 matrix with four overlapping 2×2 copositive interior principal blocks, we will have A= Since each 3×3 principal overlapping diagonal block has to be coposi[r] ... Lihat dokumen lengkap

... 273-288] studied reverse order laws for generalized inverses of multiple matrix products and derived some necessary and sufficient conditions for An{1}An−1{1} · · ·A1{1} ⊆A1A2· · ·An{1}[r] ... Lihat dokumen lengkap

... In this simulation, for each of 6,500 matrices, 200 vectors v were specifically selected so that | v ∗ u | approached zero. Hence, v was not truly random. (This yields a total of 1,300,000 trials.) The value of | v ∗ u | ... Lihat dokumen lengkap

... How can it be checked that a given scalar ρ is greater than the dominant eigenvalue α of A, when α is not precisely known? A necessary condition is that det(ρI − A) is positive (because the sign of det(xI −A) does not ... Lihat dokumen lengkap

... In Section 3 it is shown that the same situation holds for the nonnegative P0-matrix completion problem, that is, a pattern for n×n matrices that includes all diagonal positions whose pa[r] ... Lihat dokumen lengkap

... Consequently, we find that ifA is an n×ndoubly regular tournament matrix, then T = 2 n−1A is in S3, n and has eigenvalues 1 and −1n±−i√1n, the latter with algebraic multiplicity n−1/2[r] ... Lihat dokumen lengkap

... The Krein space numerical range of a complex matrix Aof sizenis the collection of complex numbers of the form ξξ∗∗J AξJ ξ , withξ∈C nandξ∗J ξ= 0.. In this note, a class of tridiagonal[r] ... Lihat dokumen lengkap