MAT 4725 Numerical Analysis Section 7.1 Part I Norms of Vectors and Matrices
Chapter 7 Iterative Techniques in Matrix Algebra Section 2.2 Fixed-Point Iteration
Chapter 7 Iterative Techniques in Matrix Algebra Section 7.3 Iterative Techniques
Chapter 7 Iterative Techniques in Matrix Algebra Section 7.3 Iterative Techniques
Chapter 7 Iterative Techniques in Matrix Algebra Section 7.3 Iterative Techniques
Chapter 7 Iterative Techniques in Matrix Algebra Section 7.3 Iterative Techniques We need a way to measure the distance between two vectors
7.1 Norms of Vectors and Matrices Norms on real vector space (Part I) Norms on Matrices (Part II)
n Dimensional Real Vector Space Linear Algebra, Mult. Variables Calculus Applied Analysis
Definition 7.1
l 2 Norm (Euclidean Norm) Usual distance function on
l 2 Norm (Euclidean Norm) Usual distance function on Geometric Interpretations of
l Norm Geometric Interpretations of
Example 1
Theorem 7.3 (Cauchy-Schwarz Inequality)
l 2 Norm is a vector norm Proof:
Definition 7.4
Definition 7.5
Theorem
Example 2
Classwork
Homework Download HW. Read 7.1 (skip all the proofs)