We show the compatibility between the moderate or nearby cycle functor for regular holonomic D-modules, as defined by Beilinson, Kashiwara and Malgrange, and the Hermitian duality functor, as defined by Kashiwara. Introduction The Hermitian dual of a D-module was introduced by M. Kashiwara in [9], who showed that the Hermitian dual of a regular holonomic D-module is also regular holonomic (henc...

In this paper, we present Gauss-Sidel and successive over relaxation (SOR) iterative methods for finding the approximate solution system of fuzzy Sylvester equations (SFSE), AX + XB = C, where A and B are two m*m crisp matrices, C is an m*m fuzzy matrix and X is an m*m unknown matrix. Finally, the proposed iterative methods are illustrated by solving one example.

A sequence (Mk) of closed subsets of Rn converges normally to M ⊂ Rn if (sc) M = lim supMk = lim inf Mk in the sense of Painlevé–Kuratowski and (nc) lim sup G(NMk ) ⊂ G(NM ), where G(NM ) (resp., G(NMk )) denotes the graph of NM (resp., NMk ), Clarke’s normal cone to M (resp., Mk). This paper studies the normal convergence of subsets of Rn and mainly shows two results. The first result states t...

in this paper, we first show that the tensor product of a finite number of standard g-frames (resp. fusion frames, frames) is a standard g-frame (resp. fusion frame, frame) for the tensor product of hilbert $c^ast-$ modules and vice versa, then we consider tensor products of g-bessel multipliers, bessel multipliers and bessel fusion multipliers in hilbert $c^ast-$modules. moreover, we obtain so...

In this paper we present embeddings of complete binary trees into butterfly networks with or without wrap-around connections. Let m be an even integer and q = m+ LlogmJ-l. We show how to embed a 2+I -I-node complete binary tree T(q) into a (m + 1)2111+1_ node wrap-around butterfly B1l1(m +1) with a dilation of 4, and how to embed T(q) into a (m + 2)2+_node wrap-around butterfly B 1l1 (m +2) wit...