Computing a Sparse Basis for the Null Space

Generated the Integer Null Space and Conditions for Determination of an Integer Basis Using the ABS Algorithms

An Efficient Algorithm for Computing the Generalized Null Space Decomposition

The generalized null space decomposition (GNSD) is a unitary reduction of a general matrix A of order n to a block upper triangular form that reveals the structure of the Jordan blocks of A corresponding to a zero eigenvalue. The reduction was introduced by Kublanovskaya. It was extended first by Ruhe and then by Golub and Wilkinson, who based the reduction on the singular value decomposition. ...

A New Method of Mobile Robot Navigation: Shortest Null Space

In this paper, a new method was proposed for the navigation of a mobile robot in an unknown dynamic environment. The robot could detect only a limited radius of its surrounding with its sensors and it went on the shortest null space (SNS) toward the goal. In the case of no obstacle, SNS was a direct path from the robot to goal; however, in the presence of obstacles, SNS was a space around the r...

Real vs. Complex Null Space Properties for Sparse Vector Recovery

We identify and solve an overlooked problem about the characterization of underdetermined systems of linear equations for which sparse solutions have minimal `1-norm. This characterization is known as the null space property. When the system has real coefficients, sparse solutions can be considered either as real or complex vectors, leading to two seemingly distinct null space properties. We pr...

investigating the integration of translation technologies into translation programs in iranian universities: basis for a syllabus design in translation technology

today, information technology and computers are indispensable tools of any profession and translation technologies have become an indispensable part of translator’s workstation. with the increasing demands for high productivity and speed as well as consistency and with the rise of new demands for translation and localization, it is necessary for translators to be familiar with market demands an...