The textit{QIF}  (Quadrant Interlocking Factorization) method of Evans and Hatzopoulos solves linear equation systems using textit{WZ}  factorization. The  WZ factorization can be faster than the textit{LU} factorization  because,  it performs the simultaneous evaluation of two columns or two rows. Here, we present a  method for computing the real and integer textit{WZ} and  textit{ZW} factoriz...

We present a Null Space method which uses a mixture of direct and iterative solvers applied to the solution of the augmented system produced by a Mixed Finite-Element approximation of the Darcy’s Law [1]. The direct solver is based on the LU factorization of the submatrix of the augmented system which approximates the divergence operator div . The basic structures of the matrices involved are d...

The aim of the present work is to introduce the concept of $lambda _{r}$-almost convergence of sequences. We define the spaces $fleft( lambda _{r}right) $ and $f_{0}left( lambda _{r}right) $ of $ lambda _{r}$-almost convergent and $lambda _{r}$-almost null sequences. We investigate some inclusion relations concerning those spaces with examples and we determine the $beta $- and $gamma $-duals of...

Cooperative Multi-Point (CoMP) has emerged as a new paradigm to improve both average cell and cell edge throughput in cellular networks. However, the performance is significantly degraded due to Out-of-Group Interference (OGI). One way to mitigate OGI is to restrict the interfering signal to lie inside the null space of the unintended receiver. Yet, accurately tracking this null space is a chal...

As well known, robot manipulator is utilized in many industrial fields. However manipulator motion has a single function at most and is so limited because of low degree-offreedom motion. To improve this issue, it is necessary for the robot manipulator to have redundant degree-of-freedom motion. The motion spaces of redundant manipulator are divided into work space motion and null space motion. ...

First, we define a stochastic shortest path problem (SSP) on Borel space considering the distribution of total cost. Next, for this SSP, policy classes are set number steps to reach terminal state first time, and is designed each class. There no guarantee that probability large cost small with expected value (expected cost). The minimizes or Conditional Value at Risk (CVaR) may not state. propo...