Argomenti del programma: • Numerical linear algebra: Vector spaces and subspaces. Matrices and operation with matrices. The 4 fundamental subspaces. Rank. Connectivity. Determinant of a matrix and its properties. Linear functions and transformations. Linear systems and consistency. Similarity. Norms, inner and outer products. Orthogonality. Gram-Schmidt ortho-normalization algorithm. QR factorization.
Testi d'esame di Numerical Methods For Computer Science del prof. Francesca Mazzia, canale unico, corso di laurea in Computer Science – sede di Bari (Laurea magistrale (LM-18)), Università degli Studi di Bari Aldo Moro, 1º anno · 1º semestre · 9 CFU, a.a. 2026/2027. Libri adottati: Meyer – Matrix Analysis and Applied Linear Algebra; Lars Eldèn – Matrix Methods in Data Mining and Pattern…; Gilbert Strang, Calculus, Wellesley-Cambridge press, 1991 (Chapter 13); Jorge Nocedal – Numerical Optimization.