In this assignment, you will develop two parallel implementations of LU decomposition that use Gaussian elimination to factor a dense N x N matrix into an upper-triangular one and a lower-triangular ...

Abstract: In order to generate various eigen fuzzy sets with respect to an image, an algorithm based on a permutation fuzzy matrix is proposed. The proposed algorithm is based on a rotation of the ...

This is a preview. Log in through your library . Abstract This paper is the first in a series which discusses computation in permutation and matrix groups of very large order. The fundamental concepts ...

The Nature Index 2024 Research Leaders — previously known as Annual Tables — reveal the leading institutions and countries/territories in the natural and health sciences, according to their output in ...

The magic of mathematics is particularly reflected in magic squares. Recently, quantum physicists and mathematicians introduced the notion of the quantum magic square, and for the first time studied ...

Abstract: This study proposes a permutation-alignment method for frequency-domain blind source separation. This method refines the results of Sawada’s permutation-alignment method using stricter ...

While magic squares have intrigued mathematicians for over two thousand years, they are more than just interesting puzzles. A paper by De las Cuevas et al. puts this ancient piece of mathematics in ...