[PDF] Top 20 Eigenvalues of matrices related to the octonions

... representation of an octonion, which is based on two real matrix represen- tations of a quaternion, is ...on the octonions change the set of eigenvalues of ... See full document

... in the study by Velicer et al. (2000), namely with the off-diagonal elements of the partial correlation ma- trix raised to the fourth power before ...following the ... See full document

... that the objective function, Tr {C X}, and the restriction, Tr{X} = k, of the minimization problem (1) are linear in the variable X ...On the other hand, the restrictions ... See full document

... as the generalized Hurwitz Theorem asserts that, over F , if A is a finite dimensional composition algebra with identity, then its dimension is equal to 1, 2, 4 or ...either to the base field, ... See full document

... Abstract. The maximum multiplicity among eigenvalues of matrices with a given graph cannot generally be expressed in terms of the degrees of the vertices (even when ... See full document

... uses the well-known depth-first and breadth-first algorithms to determine the adjacent vertexes and the edges incident on a vertex as illustrated in figure ...written to compute ... See full document

... study the distribution on the eigenvalues of the preconditioned matrices that arise in solving two-by-two block non-Hermitian positive semidefinite linear systems by use ... See full document

... The analysis corpus of this study included the use of printed books and online materials available from renowned authors from the ields of cinema, history, sociology and ... See full document

... in the context of the current interest in describing the human connectome of the brain, particularly components related to voluntary motor behavior (Calhoun et ... See full document

... in the generators G1 and G3, which, according to a residue analysis (Pagola et ...enough to properly damp the power sys- tem electromechanical ...shows the eigenvalues ... See full document

... i.e., the eigenvalues of A ∈ S(T ) are ...are the only graphs for which maximum multiplicity is 1 [1], and this is obvious among ...removal of a pendent vertex from a path results in ... See full document

... remainder of this study is organized as ...apply to GF(2) computations. These are needed herein to make the study self ...binary matrices of orders 1 and 2, characterize them and ... See full document

... T of order n, a scalar α ∈ R and a real diagonal matrix D, the algorithm DiagonalizeW(T , α) that we present in this section diagonalizes the matrix L D (T ) +α I , where L D (T ) is the ... See full document

... Among the different research topics related to Vandermonde matrix, the search for new and efficient approach for computation of its inverse is still a fundamental and important ... See full document

... )n the context of the cohesion policy, solidarity must represent a support for development ...on the capacity and the training of the people to whom the ... See full document

... walls of buildings. It could be decorative niches (of spiral form in the Hall of Warriors), small rectangular "shelves" (in the Hall of Victories), rectangular niches ... See full document

... on the surface with the electric arc with the use of the FALTIG 315AC/DC ...apparatus. The single remelting was applied. The treatment parameters were used: amperage ... See full document

... evaluation of influence of selected parameters on sensitivity of a numerical model of ...solidification. The investigated model is based on the heat conduction equation with a ... See full document

... where the percentage factor of solid chemical laboratory residue was used, fixing the cure time at 28 ...out to define the best range of the predictor factor, that is ... See full document

... (1.7) Actually what we present in this paper are some examples of a method to obtain sufficient conditions for stability of minimal surfaces of Riemannian manifol[r] ... See full document