The Two Techniques (SVD) And (LU) and Linking them Through Mathematical Logic
We have previously conducted a scientific research on the relationship between the matrices of two matrix analyzes, namely (SVD) and (GSVD) for the two matrices) and (. Where we showed that the matrices of these two techniques have a specific algebraic relationship that benefits researchers in the field of image optimization, encoding and image processors as the researcher wants, the research has been published in an international journal.The above research included in its conclusion an indication of future work, the first of which is the content of this title of our research in which we will find the relationship between technical matrices (SVD). And the (LU) technique, which are two matrix analyzes ( and .( The results of this research paper will have a relationship with the results of the research referred to above, as we will derive through these two results the relationship between (GSVD) technology and (LU) technology because there will be a common factor between them, which is the (SVD) technology. Thus, we will have three important relationships: the relationship between (SVD) and (GSVD), the relationship between (SVD) and (LU), and the relationship between (GSVD) and (LU). These relationships will provide excellent mathematical tools in the field of image processing and other related work.