ABSTRACT
Some matrix numerical tools are developed in this part. The singular value decomposition (SVD) represents one of the more robust algorithms used in problems and procedures based on matrix numerical tools. The core of the MATLAB platform derives from robust algorithms devoted to solve systems of linear equations and find eigenvalues of matrices. The SVD allows us, in the view of the robust control theory, to introduce some fundamental topics like the spectral norm of a matrix and its condition number. The chapter is considered of particular importance as the book is self-contained and each argument is strictly related to each other. The effort made in the book is to highlight the links among the various subjects. In this respect, the quite transversal topic of the SVD is particularly important to remark.
