Mathematics

Vector and Matrix Norms

The p-norm of a vector x

is computed by norm(x,p). This is defined by any value of p > 1, but the most common values of p are 1, 2, and . The default value is p = 2, which corresponds to Euclidean length.

• v = [2 0 -1];
  [norm(v,1) norm(v) norm(v,inf)]
  
  ans =
        3.0000    2.2361    2.0000
  

The p-norm of a matrix A,

can be computed for p = 1, 2, and by norm(A,p). Again, the default value is p = 2.

• C = fix(10*rand(3,2));
  [norm(C,1) norm(C) norm(C,inf)]
  
  ans =
       19.0000   14.8015   13.0000 
  

The Kronecker Tensor Product

Solving Linear Systems of Equations