This paper introduces fast LU and QR implementations on GPU which are extended from LAPACK routines. Using fast matrix-matrix multiplication algorithm on GPU, right-looking technique to parallelize the computation, look-ahead technique to override the CPU and GPU computation together with optimal block size on GPU make this implementation outperform its counterparts. It gains around 2~8x speedu...

A model for single-phase flow in porous media that are hierarchically fissured in regular patterns was derived by a recursive asymptotic expansion technique in [16] and part of [24]. This work rigorously justifies that model. Through recursive homogenization, we extend the doubleporosity model in [5], which has one fracture system and a matrix (rock) block system, to a triple-porosity model tha...

In this paper, block distance matrices are introduced. Suppose F is a square block matrix in which each block is a symmetric matrix of some given order. If F is positive semidefinite, the block distance matrix D is defined as a matrix whose (i, j)-block is given by D ij = F ii +F jj −2F ij. When each block in F is 1 × 1 (i.e., a real number), D is a usual Euclidean distance matrix. Many interes...

Several representations of the generalized Drazin inverse of an anti-triangular block matrix in Banach algebra are given in terms of the generalized Banachiewicz--Schur form.  

being very dynamic, natural and artificial land features are changing somewhat rapidly in over lifetime. it is important that such changes be inventoried accurately so that the physical and human processes at work can be more fully understood. change detection is a technique used in remote sensing to determine the changes in a particular object of study between two or more time periods. this re...

This paper studies the problem of single-channel noise reduction in the time domain and presents a block-based approach where a vector of the desired speech signal is recovered by filtering a frame of the noisy signal with a rectangular filtering matrix. With this formulation, the noise reduction problem becomes one of estimating an optimal filtering matrix. To achieve such estimation, a method...

M fields, ranging from bioinformatics to databases to large-scale integrated circuits, deal with the interrelation between elementary objects. Objects are represented as vertices and the relationships between them are represented as nets (edges that connect two or more vertices) in the form of a hypergraph. We seek a placement of vertices that groups like objects and separates unlike objects. T...