In this paper we investigate blocks of symmetric groups weight 2 over fields odd characteristic p . We develop an algorithm that relates the quivers two such forming a ( : 1 ) -pair, as introduced by Scopes. then apply to whose -cores are hook partitions, in order explicitly determine these blocks. As consequence conclude -blocks B and partitions Morita equivalent if only or its conjugate block...

In this work, we present a closed form of the exact pairwise error probability (PEP) for coded block Rayleigh fading channels with multiple transmit and receive antennas. Based on the values of the signal-to-noise ratio and the eigenvalue products in each block and each transmit antenna, where the eigenvalues are obtained from the product of the signal-difference matrix and its complex conjugat...

Meso and large scale models tend nowadays to be non-hydrostatic. Time step restrictions due to fast waves are alleviated by considering semi-implicit schemes (Thomas et al, 2003) or by use of the anelastic approximation (Meso-NH model, Lafore et al, 1998, or Clark, 1977 among others); in both cases an elliptic equation has to be solved. This equation is typically ill conditioned, due to the ran...

for a symmetric group $g:=sym(n)$ and a conjugacy class $mathcal{x}$ of involutions in $g$, it is known that if the class of involutions does not have a unique fixed point, then - with a few small exceptions - given two elements $a,x in mathcal{x}$, either $angbrac{a,x}$ is isomorphic to the dihedral group $d_{8}$, or there is a further element $y in mathcal{x}$ such that $angbrac{a,y} cong ang...

We point out that PT-symmetric potentials $$V_{\mathrm {PT}}(x)$$ having imaginary asymptotic saturation, {PT}}(x=\pm \infty ) =\pm i V_1, V_1 \in {\mathbb {R}}$$ are devoid of scattering states and spectral singularity. show the existence real (positive negative) discrete spectrum both with without complex conjugate pair(s) eigenvalues (CCPEs). If eigenstates arranged in ascending order part e...

In application to general function, each of the conjugate gradient and Quasi-Newton methods has particular advantages disadvantages. Conjugate (CG) techniques are a class unconstrained optimization algorithms with strong local global convergence qualities minimal memory needs. reliable efficient on wide range problems they converge faster than method require fewer function evaluations but have di...

Naphthalimides make up a class of organic molecules characterised by excellent spectroscopic properties due to their extended conjugate system. Furthermore, various asymmetric or symmetric compounds can be obtained from naphthalimides the different functionalization that performed on nitrogen and/or aromatic rings. The introduction wide range substituents in positions allows chemical and regula...

Abstract. A simple algorithm of iterative substructuring method as the same way of elasticity problem is proposed for a discretized Stokes equation by P1/P1 element and penalty stabilization technique. Owing to the stability term, solvabilities of local Dirichlet problem, of local Neumann problem for preconditioner, and of the coarse space problem are ensured. Conjugate gradient method with pre...

We study preconditioning strategies for linear systems with positive-deenite matrices of the form Z T GZ, where Z is rectangular and G is symmetric but not necessarily positive deenite. The preconditioning strategies are designed to be used in the context of a conjugate-gradient iteration, and are suitable within algorithms for constrained optimization problems. The techniques have other uses, ...