Some aspects of the perturbation theory for eigenvalues of unitary matrices are considered. Making use of the close relation between unitary and Hermitian eigenvalue problems a Courant-Fischer-type theorem for unitary matrices is derived and an inclusion theorem analogue to the Kahan theorem for Hermitian matrices is presented. Implications for the special case of unitary Hessenberg matrices ar...

The Schur multiplier M(Ḡ1) ≅4 of the maximal subgroup Ḡ1 = 2⁶˙G₂(2)of Rudvalis sporadic simple group Ru is a cyclic order 4. Hence full representative R type 4.(2⁶˙G₂(2)) exists for Ḡ1. Furthermore, will have four sets IrrProj(Ḡ1;αi) irreducible projective characters, where associated factor α1, α2, α3 and α4, orders 1, 2, 4 4, respectively. In this paper, we deal with 2-fold cover 2. which can...

Introduction. In this paper we shall be concerned with the structure of the rational representation of certain sets of matrices, to which we give the name generalized Fischer sets. If K is any field, any fixed automorphism of K, and A any matrix with elements in K, we use the notation A* for the 0-automorph of A ; that is, the matrix obtained from A by subjecting each of its elements to the...

In this paper, two novel features, Line Spectrum Center Range and Line Spectrum Flux, both derived from Line Spectrum Frequencies, are proposed to detect the presence of speech in various acoustic environments. Evaluation results using Fischer Discriminant Analysis and Scatter Matrices indicated that the new features excel the state-of-theart features. An environmental robust hybrid feature set...

There recently has been much interest in non-interior continuation/smoothing methods for solving linear/nonlinear complementarity problems. We describe extensions of such methods to complementarity problems defined over the cone of block-diagonal symmetric positive semidefinite real matrices. These extensions involve the Chen-Mangasarian class of smoothing functions and the smoothed Fischer-Bur...

The Fischer group Fi22 acts as a rank 3 group of automorphisms of a symmetric 2-(14080,1444,148) design. This design does not have a doubly transitive automorphism group, since there is a partial linear space with lines of size 4 defined combinatorially from the design and preserved by its automorphism group. We investigate this geometry and determine the structure of various subspaces of it. I...

The first comprehensive revision of the Western Palaearctic species of the genus Dinotrema Foerster, 1862 is provided. 174 species of this genus are redescribed and illustrated. Ten species are described as new, viz, D. acompressum sp. nov., D. cahitum sp. nov., D. collybiae sp. nov., D. digitatum sp. nov., D. glabrideum sp. nov., D. helote sp. nov., D. lepiotae sp. nov., D. norwegicum sp. nov....

This study was carried out to determine the species of the genus Opius Wesmael, 1835 in Hormozgan province (Southern Iran). Malaise traps and sweep nets were used to obtain adult specimens from various habitats in Hormozgan province during 2011-2013. Fifteen species from the genus Opius belonging to ten subgenera were collected. The subgenera Merotrachys Fischer, 1972 and Opiostomus Fischer, 19...

The 3D mesh <span lang="EN-US">(Polygon mesh) model has been widely used in multiple computer technology fields such as graphic design and modern animation. repositories were created to support the contribution of many artist-designers have become an important data source. This research is aimed at introducing asymmetric encryption for a improve using elgamal elliptic curve cryptography w...