Vector or Matrix with algebraic entries
(optional) a real number greater than or equal to 1, infinity, or Euclidean; defaults to 2
The Norm command computes the p-norm of a.
If p is set to Euclidean, then the 2-norm is computed.
For a real number p, the p-norm of a n-dimensional Vector v is given by ∑i=1n⁡vip1p.
The infinity norm of a n-dimensional Vector v is given by maxi=1n|vi|.
Let v denote the p-norm or infinity norm of a Vector v. The p-norm or infinity norm of a Matrix a is given by max||v||=1||a⁢.⁢v||.
Only the 1, 2, and infinity norms are available for Matrices.
The Student[MultivariateCalculus][Norm] command was introduced in Maple 2016.
For more information on Maple 2016 changes, see Updates in Maple 2016.
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