Let b be a block with normal abelian defect group and inertial quotient. We prove that every Morita auto-equivalence of has linear source. note this improves upon results Zhou also Boltje, Kessar Linckelmann.

A multilevel wavelet algorithm is developed to solve integral equations for the pair correlations in simple liquids. The algorithm is based on the discrete wavelet transform of the radial correlation functions. The fundamental properties of wavelet bases are employed to improve the convergence and speed of the algorithm. The Coifman 2 basis set is used for the wavelet treatment. To solve the Or...

for all x, y ∈ C. We use F T to denote the set of fixed points of T , that is, F T {x ∈ C : Tx x}. Throughout the paper, we assume that F T / ∅. Construction of fixed points of nonlinear mappings is an important and active research area. In particular, iterative methods for finding fixed points of nonexpansive mappings have received a vast investigation; see 1–28 . It is well known that the Pic...

Recently two kinds of HSS-based iteration methods to solve the absolute value equation (AVE) are proposed. In present paper, we focus on developing the CSCSbased methods for solving the absolute value equation (AVE) involving the Toeplitz structure, and propose the Picard-CSCS method and the nonlinear CSCS-like iterative method. With the help of introducing a smoothing approximate function, we ...

Picard Lattices of Families of K3 Surfaces bysarah-marie belcastro Chair: Igor Dolgachev It is a nontrivial problem to determine the Picard Lattice of a given surface; theobject of this thesis is to compute the Picard Lattices of M. Reid’s list of 95 fami-lies of Gorenstein K3 surfaces which occur as hypersurfaces in weighted projectivespace. Reid’s list arises in many problems;...

We study the surface S̄ parametrizing cuboids: it is defined by the equations relating the sides, face diagonals and long diagonal of a rectangular box. It is an open problem whether a ‘rational box’ exists, i.e., a rectangular box all of whose sides, face diagonals and long diagonal have (positive) rational length. The question is equivalent to the existence of nontrivial rational points on S̄. ...

The traveling salesman problem (TSP) is one of the most important combinational optimization problems that have nowadays received much attention because of its practical applications in industrial and service problems. In this paper, a hybrid two-phase meta-heuristic algorithm called MACSGA used for solving the TSP is presented. At the first stage, the TSP is solved by the modified ant colony s...

The local fractional variational iteration method is applied to a modified Fisher?s equation defined on Cantor sets with the fractal conditions. solution process simple, and accuracy of approximate high. provides an unrivaled tool for differential equations. Key word: equation, analytical solutions, method, derivative