MATRIX FACTORIZATION, DECOMPOSITION AND SPLITTING METHODS AND ITS APPLICATIONS IN PHYSICAL PROBLEMS

Abstract

Matrix factorization is the process that transforms a matrix into the product of some constituent matrices. This is comparable to factoring a number into the product of several numbers. Matrix splitting methods are similar to matrix factorization process which transforms a matrix into the sum of some basis matrices. In this short review article, we address the different types of matrix factorization and matrix splitting methods as well as their applications in the physical problems rather than exhibiting their computational procedure. Some matrix structural facts are shown to exhibit the fundamental pattern of different matrix decompositions.