Physics – Mathematical Physics
Scientific paper
2011-10-31
Physics
Mathematical Physics
23 pages
Scientific paper
In the last decades the Moore-Penrose pseudoinverse has found a wide range of applications in many areas of Science and became a useful tool for physicists dealing, for instance, with optimization problems, with data analysis, with the solution of linear integral equations, etc. The existence of such applications alone should attract the interest of students and researchers in the Moore-Penrose pseudoinverse and in related sub jects, like the singular values decomposition theorem for matrices. In this note we present a tutorial review of the theory of the Moore-Penrose pseudoinverse. We present the first definitions and some motivations and, after obtaining some basic results, we center our discussion on the Spectral Theorem and present an algorithmically simple expression for the computation of the Moore-Penrose pseudoinverse of a given matrix. We do not claim originality of the results. We rather intend to present a complete and self-contained tutorial review, useful for those more devoted to applications, for those more theoretically oriented and for those who already have some working knowledge of the sub ject.
Barata Joao C. A.
Hussein Mahir S.
No associations
LandOfFree
The Moore-Penrose Pseudoinverse. A Tutorial Review of the Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The Moore-Penrose Pseudoinverse. A Tutorial Review of the Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Moore-Penrose Pseudoinverse. A Tutorial Review of the Theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-148248