in this paper, we investigate the existence of a positive solution of fully fuzzy linear equation systems. this paper mainly to discuss a new decomposition of a nonsingular fuzzy matrix, the symmetric times triangular (st) decomposition. by this decomposition, every nonsingular fuzzy matrix can be represented as a product of a fuzzy symmetric matrix s and a fuzzy triangular matrix t.

Topological crystalline insulators are phases of matter where the symmetries solely protect topology. In this work, we explore effect many-body interactions in a subclass topological insulators, namely mirror-symmetry protected insulator. Employing prototypical mirror-symmetric quasi-one-dimensional model, demonstrate emergence phase and its robustness presence short-range interactions. When lo...

Let $Rin textbf{C}^{mtimes m}$ and $Sin textbf{C}^{ntimes n}$ be nontrivial involution matrices; i.e., $R=R^{-1}neq pm~I$ and $S=S^{-1}neq pm~I$. An $mtimes n$ complex matrix $A$ is said to be an $(R, S)$-symmetric ($(R, S)$-skew symmetric) matrix if $RAS =A$ ($ RAS =-A$). The $(R, S)$-symmetric and $(R, S)$-skew symmetric matrices have a number of special properties and widely used in eng...

PURPOSE Refined analysis of frequency doubling perimetric data was performed to assess binocular visual field conservation in patients with comparable degrees of bilateral glaucomatous damage, to determine whether unilateral visual field loss is random, anatomically symmetric, or non-random in relation to the fellow eye. METHODS Case control study of 41 consecutive patients with bilaterally m...

in this paper we present a method for solving fuzzy linear systemsby two crisp linear systems. also necessary and sufficient conditions for existenceof solution are given. some numerical examples illustrate the efficiencyof the method.

‎The global FOM and GMRES algorithms are among the effective‎ ‎methods to solve Sylvester matrix equations‎. ‎In this paper‎, ‎we‎ ‎study these algorithms in the case that the coefficient matrices‎ ‎are real symmetric (real symmetric positive definite) and extract‎ ‎two CG-type algorithms for solving generalized Sylvester matrix‎ ‎equations‎. ‎The proposed methods are iterative projection metho...

‎the global fom and gmres algorithms are among the effective‎ ‎methods to solve sylvester matrix equations‎. ‎in this paper‎, ‎we‎ ‎study these algorithms in the case that the coefficient matrices‎ ‎are real symmetric (real symmetric positive definite) and extract‎ ‎two cg-type algorithms for solving generalized sylvester matrix‎ ‎equations‎. ‎the proposed methods are iterative projection metho...

We find that the energy spectra of four and five anyons in a harmonic potential exhibit some mirror symmetric (reflection symmetric about the semionic statistics point θ = π/2) features analogous to the mirror symmetry in the two and three anyon spectra. However, since the l = 0 sector remains non-mirror symmetric, the fourth and fifth virial coeffients do not reflect this symmetry. 03.65.Ge, 0...

In the crystal structure of the title salt, C(10)H(16)N(+)·ClO(4) (-), the 4-butyl-anilinium cation is mirror symmetric, the butyl C atoms and anilinium N atom and 1,4-position C atoms of the benzene ring being located on the mirror plane; the perchlorate anion is also mirror symmetric, with two O atoms and one Cl atom lying on the mirror plane. Trifurcated N-H⋯O hydrogen bonding is observed be...