Slides and support files (linear algebra part) 
Exercises on Matlab syntax 


Definiteness of matrices  definitions and characterization 


Exercises on Householder reflectors and QR factorization 


Lab assignments on QR factorization (updated on 2016105: fixed a couple of errors) 


Lab assignments on linear systems 


Example matrix (karate_ascii.mat) 


Lab assignments on least squares problems 


Stats and salaries data (salaries.csv) 


Lab assignments on eigenvalue problems 


Exercises on the Schur factorization (theoretical) 


Matlab files 
matlab cheat sheet 


householder reflector construction 


Arnoldi process 


QR factorization (uses the Householder reflector in the previous file) 


Matlab files (optimization part) 
Gradient method for quadratic functions 


Gradient method with inexact line search 


Objective function used in the gradient method 


Conjugate gradient method for quadratic functions 


Directional directsearch method 


Newton method with inexact line search 


FrankWolfe method 


Penalty method 


Objective function used in the penalty method 


Logarithmic barrier method 


Objective function used in the Logarithmic barrier method 


svm1 


svm2 


svm3 


Other study material 
Linear algebra recall and special matrices (prof. Bevilacqua's notes) 


Eigenvalues (prof. Bevilacqua's notes) 


Matrix norms (prof. Bevilacqua's notes) 
Some notes written by prof. Roberto Bevilacqua, former teacher of this course. They contain useful background material on linear algebra as well as some of the new content explained in the first lectures.


Student notes 20102011 course (Italian) 
The students of the 20102011 edition of NMO produced a set of notes written in LaTeX (in Italian) and released them under a CC license. The program of the course has changed since then, but the notes may still be useful.


Short note on identityplusrankone matrices 


Answers to a few questions asked by a student 
On inverse and orthogonal iteration.


More answers to questions asked by a student 


More answers to student questions 


Exams 
Practice test (mock exam) 20161213 
