In the context of the block Cimmino algorithm, we study preprocessing strategies to obtain block partitionings that can be applied to general linear systems of equations Ax = b. We study strategies that transform the matrix AA into a matrix with a block tridiagonal structure. This provides a partitioning of the linear system for row projection methods because block Cimmino is essentially equiva...

We report for the first time exact ground-states deduced for the D = 2 dimensional generic periodic Anderson model at finite U , the Hamiltonian of the model not containing direct hopping terms for f -electrons (t = 0). The deduced itinerant phase presents non-Fermi liquid properties in the normal phase, emerges for real hybridization matrix elements, and not requires anisotropic unit cell. In ...

in this article, a numerical method based on  improvement of block-pulse functions (ibpfs) is discussed for solving the system of linear volterra and fredholm integral equations. by using ibpfs and their operational matrix of integration, such systems can be reduced to a linear system of algebraic equations. an efficient error estimation and associated theorems for the proposed method are also ...

A new class of error-correcting codes is created from a matrix operation defined within. The matrix operation takes a point-block incidence and produces a new point-block incidence with some desirable properties, including a doubling of the girth of the Tanner graph of the initial matrix. A specific example is created using PG(2, q), and the results are generalized to any point-block incidence ...

Two parallel block tridiagonalization algorithms and implementations for dense real symmetric matrices are presented. Block tridiagonalization is a critical pre-processing step for the block-tridiagonal divide-and-conquer algorithm for computing eigensystems and is useful for many algorithms desiring the efficiencies of block structure in matrices. For an “effectively” sparse matrix, which freq...

We propose a simple inter-symbol interference (ISI) and inter-block interference (IBI) cancellation scheme for single carrier block transmission with cyclic prefix (SCCP) systems with insufficient guard interval (GI). In the SC-CP system, the equalization and demodulation processing is conducted in a block-by-block manner, therefore, the IBI can be reduced by using previously detected data sign...

Many of the currently popular ‘block algorithms’ are scalar algorithms in which the operations have been grouped and reordered into matrix operations. One genuine block algorithm in practical use is block LU factorization, and this has recently been shown by Demmel and Higham to be unstable in general. It is shown here that block LU factorization is stable if A is block diagonally dominant by c...

This letter introduces a 3D space-time-space block code for future terrestrial digital TV systems. The code is based on a double layer structure designed for inter-cell and intra-cell transmissions in single frequency networks. Without increasing the complexity of the receiver, the proposed code is very efficient to cope with equal and unequal received powers in single frequency network scenarios.